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International Journal of Electrical and Computer Engineering (IJECE)
Vol. 8, No. 5, October 2018, pp. 2762~2772
ISSN: 2088-8708, DOI: 10.11591/ijece.v8i5.pp2762-2772  2762
Journal homepage: http://iaescore.com/journals/index.php/IJECE
Advances on Microwave Ceramic Filters for Wireless
Communications (Review Paper)
Stelios Tsitsos
Department of Computer Engineering, Technological and Educational Institute of Central Macedonia, Greece
Article Info ABSTRACT
Article history:
Received Nov 8, 2017
Revised Feb 4, 2018
Accepted Jul 12, 2018
A review of the technological developments on ceramic monoblock filters
and duplexers over the years is presented in this work. Early designs based
on simulated and measured data are presented along with later designs based
on accurate equivalent circuits as well as the use of evolution algorithms for
optimal design.
Keyword:
CAD
Ceramic filters
Dielectric filters
Duplexers
Wireless communications Copyright © 2018 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
Stelios Tsitsos,
Department of Computer Engineering,
Technological and Educational Institute of Central Macedonia,
Magnesias End, Serres GR-62124, Greece.
Email: s.tsitsos@teicm.gr
1. INTRODUCTION
Microwave filters and duplexers play an important role in wireless communications by rejecting
unwanted signals in the frequency band(s) of interest. Several planar-type structures have been presented in
recent years [1], [2], [3], [4]. Although they provide low insertion loss in the passband and sharp rejection in
the stop band, these structures are not suitable for modern mobile handsets, tablets, notebooks etc., due to the
relatively large area they occupy. Ceramic monoblock filters and duplexers on the other side provide high
selectivity, temperature stability, compact size, low insertion loss and low cost [5], [6], [7]. Since the 1980’s
continuous advances in such components have resulted in miniaturised and inexpensive microwave filters
suitable for mobile communications handsets as well as tablets, notebooks etc. for local area networks
applications.
The use of ceramic monoblock filters and duplexers really took off in the 1990’s and 2000’s with
the vast growth of mobile communications all over the world. The need for even smaller mobile handsets led
to the extensive research and development of miniaturised filters and duplexers by a large number of
Researchers, Academic Institutes and Companies. The key technique for miniaturising these components is
the use of high dielectric constant (30<εr<100) and low loss ceramic materials. The basic topology of these
filters consists of adjacent dielectric resonators coupled to each other and to the I/O ports.
In this work an attempt has been made to review the technological advances made over the years on
the design of ceramic monoblock filters and duplexers. Early designs were based on equivalent “general
purpose” circuits found in the literature, and also on simulated and measured data. As a result the measured
performance of these devices often departed from the desired specifications and a considerable amount of
time was spent on re-designing, re-simulating and trimming. Later work was based on the extraction of more
Int J Elec & Comp Eng ISSN: 2088-8708 
Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos)
2763
accurate equivalent circuits from first electromagnetic principles and also the use of evolution algorithms for
optimal design.
2. CERAMIC BLOCK FILTERS AND DUPLEXERS
Early work started in Finland with the design of integrated miniature ceramic filters for 900 MHz
cellular mobile radio applications [8] utilising stripline TEM λ/4 cavities with ceramic core. The design was
based on models available in the literature, computer simulations and measurements of coupling coefficients
for irregular structures. Interdigital and combline filter structures were fabricated using titanate based ceramic
compounds with dielectric constants of 37 and 78 respectively as shown in Figure 1. After trimming the
fabricated structures good agreement between simulated and measured results was established.
Figure 1. Measured coupling coefficients from symmetric resonator pairs without and with irregularities.
(a) Interdigital with grooves. (b) Combline with grooves. (c) Combline with a cut [8].
At the same time Isota et al [9] of Mitsubishi Electric CompanyTM, Japan, designed and
manufactured a combline ceramic filter with λ/4 resonators operating at 1000 MHz Figure 2. The advantage
of this filter was the suppression of the third harmonic where a second pass-band was observed. This was
achieved by placing grooves on the outer surface of the dielectric block, which also provided enough inter-
resonator coupling.
Figure 2. Monoblock dielectric filter configuration: (a) Monoblock dielectric filter,
(b) Filter cross-section [9].
The biggest expansion of the use of ceramic monoblock filters for mobile communications took
place in the 1990’s with the vast growth of mobile communications, due to the filters’ small size and low
cost. MurataTM, Japan, designed and manufactured a fully monoblock ceramic filter with a combline
 ISSN: 2088-8708
Int J Elec & Comp Eng, Vol. 8, No. 5, October 2018 : 2762 - 2772
2764
configuration for the 800 MHz band cordless telephone system [10] and also a ceramic monoblock
duplexer [11]. This filter consists of a high permittivity (εr=90) dielectric monoblock with multiple
cylindrical holes which constitute the inner conductors of the resonators. All surfaces are metallised except
the surrounding of the I/O ports and the circumferential gaps inside at the end of the cylindrical holes. This
structure is shown in Figure 3(a) and the duplexer structure in Figure 3(b). The design of the filter was based
on equivalent circuits available in the literature and 3D Finite Element Method analysis. The experimental
and simulated results exhibit a difference of about 5%.
(a)
(b)
Figure 3. (a) Monoblock dielectric filter structure [10], (b) Monoblock dielectric duplexer structure [11].
Kennerley and Hunter [12] designed and manufactured ceramic stripline filters for mobile and
wireless LAN’s communications able to overcome the disadvantage of tuning (necessary to compensate for
dimensional tolerances) often encountered with monoblock structures. These stripline filters consist of two
tiles of ceramic substrate with a transmission line circuit printed on a thin, low permittivity substrate forming
a sandwich structure Figure 4. The low permittivity substrate can be extended beyond the ceramic tiles to
Int J Elec & Comp Eng ISSN: 2088-8708 
Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos)
2765
form the input and output terminals. Grounding is achieved by conductor coating the outside faces of the
structure.
Kobayashi and Saito [13] of Sumitomo Metal IndustriesTM, Japan, designed and manufactured
ceramic filters for cordless phone systems. These filters were constructed by placing stripline made of high
permittivity ceramics (εr=90) between microstrip lines made of low permittivity ceramics (εr=15) Figure 5 to
achieve additional miniaturisation. Some discrepancies were observed between simulated and measured
results.
Figure 4. Ceramic stripline filter construction [12].
Figure 5. Miniaturised filter structure [13].
Ishikawa et al [14] of MurataTM, Japan, designed and manufactured planar dielectric resonator
filters fabricated in ceramic substrates for millimetre wave applications. The advantage of these filters is that
they can easily be integrated into planar circuits, such as MMICs and MICs. Figure 6(a) shows the
configuration of a TE010 mode dielectric resonator. The resonator consists of a dielectric substrate and upper
and lower metal plates. The dielectric substrate is placed between the metal plates. Both upper and lower
surfaces of the substrate are metallised. Thin-film electrodes on both sides of the substrate have hollow
patches of the same diameter. The electrodes divide the resonator into three regions to be cutoff against
cylindrical TE mode, therefore, the electromagnetic field is concentrated within the circular hollow patches.
Figure 6(b) represents the filter configuration.
In [15] a method for modelling ceramic comb-line filters was presented. This method considers a
ceramic combline filter as a multi-conductor transmission line Figure 7 and extracts equivalent circuit
parameters for transmission lines which in turn can easily be simulated by a circuit simulator. Although this
method speeds up significantly the simulation process it is limited to uniform multi-conductor transmission
lines only and cannot treat any irregular structures.
Park and Ziegert [16] published a feasibility study on producing ceramic block filters in small
quantities. They used a capacitively coupled lumped element band-pass filter model from the literature and a
generic ceramic structure to determine the unloaded Q factor and frequency range Figure 8. Then the filter
frequency, order, and shape factor could be tailored with low cost tuning methods to implement the coupling
 ISSN: 2088-8708
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2766
coefficients and mesh resonances to achieve narrow band-pass coupled resonator filters. This was achieved
with the use of automated milling or laser etching tools to modify the geometry of both the ceramic and
plating and hence the cost of the generic structure and associated equipment was spread over many
applications.
(a) (b)
Figure 6. (a) TE010 mode dielectric resonator (b) Filter configuration based on TE010 mode dielectric
resonator [14].
Figure 7. Multi-conductor transmission line [15].
Figure 8. Ceramic block filter and its equivalent circuit model [16].
In [17] a helical ceramic resonator design was described and a sample filter structure based on this
type of resonator was presented. The helical resonator structure was produced using standard ceramic
Int J Elec & Comp Eng ISSN: 2088-8708 
Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos)
2767
resonator technology and led to substantial miniaturisation of the filters. This type of resonator and the
associated filter are illustrated in Figures 9 and Figure 10.
Figure 9. Cross-sectional view of two ceramic resonator structures: (a) conventional coaxial. (b) helical [17].
Figure 10. A generalised ceramic monoblock filter utilising 4 helical resonators [17]
3. RESULTS AND DISCUSSION
So far we have seen that the extraction of the equivalent circuit parameters for monoblock structures
is usually performed using experimental and electromagnetic simulation data fitted to a basic topology
equivalent model found in the literature with arbitrary initial values. This basic model is often limited and
optimisation may result in unrealistic parameter values. Since 2004 Tsitsos et al and Kyriazidis et al
produced an extensive work on ceramic monoblock filter modelling and design. Initially they presented
practical electromagnetic analysis techniques [18] including the application of symmetry [19] to speed up
electromagnetic simulation times and to improve simulation accuracy. Then they presented a CAD parameter
extraction technique [20],[21] to produce accurate equivalent circuits. This technique is based on first
electromagnetic principles thus providing a physical insight into the extraction process. In this way accurate
equivalent circuits can be produced for each individual monoblock structure thus avoiding the “general
purpose” equivalent circuits found in the literature. The main advantage of this technique is its suitability for
analysing structures of arbitrary geometry and materials. Based on these techniques it was possible to design
ceramic monoblock filters for mobile handsets operating in the PCS and UMTS frequency bands [22], [23]
Figure 11.
As an example, the inductances and capacitances associated with the filter’s cups and the
impedances associated with the filter’s resonators were determined by numerically solving well established
electromagnetic equations in the “field calculator” menu of HFSS. The capacitance per unit length of a
 ISSN: 2088-8708
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2768
transmission line is given by C=q/V, where the electric charge q is calculated from the electric flux density D
over a closed surface A as shown in Figure 12.
(a)
(b)
Figure 11. (a) Ceramic monoblock filter layout. (b) Equivalent circuit [21].
(a) (b)
Figure 12. (a) Extraction of filter’s cup capacitance to ground. (b) Extraction of inductances associated with the
filter’s cups [21].
Int J Elec & Comp Eng ISSN: 2088-8708 
Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos)
2769
dAE=dAD
A
⋅⋅ ∫∫ ε
A
=q (1)
and the voltage V is evaluated by integrating the electric field E along a line integral in the r direction:
drV ⋅Ε−= ∫ (2)
The inductance per unit length of a transmission line is given by L=Φ/Ι. The magnetic flux Φ is
calculated by integrating the magnetic flux density B normal to an open surface S in a radial direction:
dSH=dSB
S
⋅⋅Φ ∫∫ µ
S
= (3)
and the current I is calculated by integrating the magnetic field H around a closed contour:
dlH ⋅∫C
=I (4)
The equivalent extracted parameter values are presented in Table 1. Figure 13 presents the circuit
and structural response of the filter.
Table 1. Equivalent Circuit Extracted Parameter Values [21].
Equivalent circuit parameters Extracted values Optimised values
Cup #1 (#3) capacitance to ground: C1=C3 1.8065 pF 1.5217 pF
Cup #1 (#3) inductance: L1=L3 0.1138 nH 0.0839 nH
Cup #2 capacitance to ground: C2 0.4833 pF 0.2503 pF
Coupling capacitance between cups # 1 and #2 (# 2 and #3): C12= C23 0.6533 pF 0.6457 pF
Cup #1 (#3) capacitance to port: Cport 1.3454 pF 0.5933 pF
Resonator #1 (#3) to cup #1 (#3) discontinuity inductance: L1disc= L3disc 0.05115 nH 0.0640 nH
Resonator #1 (#3) characteristic impedance: Z01=Z03 5.9680 Ohms 7.3994 Ohms
Resonator #2 characteristic impedance: Z02 6.7980 Ohms 7.9880 Ohms
Even-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z0e 6.9705 Ohms 9.0909 Ohms
Odd-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z0o 5.2680 Ohms 6.7338 Ohms
Transformed resonator #1 (or #3) characteristic impedance: Z´0 11.9360 Ohms 14.7987 Ohms
Transformed even-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z´0e 15.3543 Ohms 22.2189 Ohms
Transformed odd-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z´0ο 8.9692 Ohms 11.9740 Ohms
Figure 13. PCS filter structural and equivalent circuit response [21].
 ISSN: 2088-8708
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2770
Based on the techniques described above a duplexer suitable for a mobile handset operating in the
UMTS receive and transmit frequency bands was designed [24] Figure 14. Its frequency response is
presented in Figure 15. The above work was extended further by applying efficiently the Differential
Evolution Algorithm (DEA) combined with the Finite Element Method (FEM) towards the optimal shape
design of ceramic microwave filters in order to meet specific requirements [22]. The overall algorithm was
implemented by a two-step procedure, which is repeated iteratively. In the first step, for a given set of the
design parameters values, the electromagnetic analysis problem is solved using the Ansoft HFSS
computational package, which is based on the FEM. In the second step, the DEA updates the values of the
design parameters based on their performance in meeting the design specifications.
(a)
(b)
Figure 14. (a) UMTS ceramic block duplexer layout. (b) Equivalent circuit topology [24].
Int J Elec & Comp Eng ISSN: 2088-8708 
Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos)
2771
Figure 15. Frequency response of the UMTS duplexer of Figure 14 [24].
4. CONCLUSION
An extensive review of the technological developments on ceramic monoblock filters and duplexers
over the years is presented in this work. The review of course is not exhaustive but the basic milestones on
the design and development of these structures was presented. It was shown that although early designs were
based on simulated and measured data, later designs were based on accurate equivalent circuits as well as the
use of evolution algorithms for optimal design.
ACKNOWLEDGEMENTS
The author would like to acknowledge the Research Committee of the Technological and
Educational Institute (T.E.I.) of Central Macedonia, Serres, Greece for supporting this work. (Decision
SAT/IC/090517-67/10/P/6).
REFERENCES
[1] U. Rafique, et al., “Bandstop Filter Design for GSM Shielding Using Frequency Selective Surfaces”, International
Journal of Electrical and Computer Engineering (IJECE), vol. 2, no.6, pp. 846-850, Dec 2012.
[2] F. Aytouna, et al., “A Novel CPW Low Cost Lowpass Filter Integrating Periodic Structures”, International Journal
of Electrical and Computer Engineering (IJECE), vol. 6, no. 3, pp. 1106-1111, June 2016.
[3] A. Boutejdar, et al., “Design and Improvement of a Compact Bandpass Filter using DGS Technique for WLAN and
WiMAX Applications”, TELKOMNIKA, vol. 15, no.3, pp. 1137-1144, Sept 2017.
[4] M. A. Sazali et al., “ Hybrid Microstrip Diplexer Design for Multi-band WiMAX Application in 2.3 and 3.5 GHz
Bands”, International Journal of Electrical and Computer Engineering (IJECE), vol. 8, no. 1, pp. 576-584, Feb
2018.
[5] S. J. Fiedziuszko, et al., “Dielectric Materials, Devices, and Circuits”, IEEE Transactions on Microwave Theory
and Techniques, vol. 50, no. 3, pp. 706-720, Mar 2002.
[6] I. M. Reaney and D. Iddle, “Microwave Dielectric Ceramics for Resonators and Filters in Mobile Phone
Networks”, Journal of the American Ceramic Society, vol. 89, iss. 7, pp. 2063–2072, July 2006.
[7] M. Le Coq, et al., “Miniature microstrip filter using high-permittivity ceramic substrates (er=90)”, IEEE MTT-S
International Microwave Symposium Digest, pp. 1-4, 2011.
[8] E. Kemppinen, et al., “Realization of Integrated Miniature Ceramic Filters for 900 MHz Cellular Mobile Radio
Applications”, 17th European Microwave Conference, pp. 175-180, 1987.
[9] Y. Isota, et al., “A Grooved Monoblock Comb-Line Filter Suppressing the Third Harmonics”, IEEE MTT-S
International Microwave Symposium Digest, Vol. 1, pp. 383–386, 1987.
[10] H. Matsumoto, et al., “A miniaturized dielectric monoblock band-pass filter for 800 MHz band cordless telephone
system”, IEEE MTT-S International Microwave Symposium Digest, Vol. 1, pp. 249–252, 1994.
[11] H. Matsumoto, et al., “A miniaturized dielectric monoblock duplexer matched by the buried impedance
transforming circuit”, IEEE MTT-S International Microwave Symposium Digest, Vol. 3, pp. 1539–1542, 1995.
[12] A.J. Kennerley and I.C. Hunter, “Miniature microwave filters using high permittivity ceramics”, IEEE MTT-S
Symposium on Technology Wireless Applications Digest, pp. 135–139, 1995.
[13] S. Kobayashi and K. Saito, “A miniaturized ceramic bandpass filter for cordless phone systems”, IEEE MTT-S
International Microwave Symposium Digest, Vol. 2, pp. 391–394, 1995.
[14] Y. Ishikawa, et al., “V band planar type dielectric resonator filter fabricated in ceramic substrate”, Topical
Symposium on Millimeter Waves, pp. 93-96, 1997.
 ISSN: 2088-8708
Int J Elec & Comp Eng, Vol. 8, No. 5, October 2018 : 2762 - 2772
2772
[15] T. Uusitupa and J. Loukkola, “On the modelling of ceramic combline RF-filter”, 27th European Microwave
Conference, Vol. 2, pp. 1092-1097, 1997.
[16] S.K. Park and J. C. Ziegert, “Ceramic block bandpass filter components for small quantity applications”, IEEE
Southeastcom ’98 Proceedings, pp. 144-147, 1998.
[17] R. S. Kwok and S. J. Fiedziuszko, “Helical ceramic resonator structures”, IEEE MTT-S International Microwave
Symposium Digest, Vol. 3, 1999.
[18] S. Tsitsos, et al., “Electromagnetic analysis techniques for 3-D microwave structures using commercial
electromagnetic software”, Microwave and Optical Technology Letters, vol. 40, no. 4, pp. 335-339, Feb 2004.
[19] S. Tsitsos, et al., “Application of the symmetry eigenvalue approach to the analysis of a PCS-type ceramic
monoblock filter”, International Journal of Electronics, vol. 94, no. 6, pp. 653-661, Jun 2007.
[20] S. Tsitsos, et al., “A new technique for the extraction of equivalent circuit parameters from 3-D monoblock filters”,
International Journal of RF and Microwave Computer-Aided Engineering, vol. 15, no. 2, pp. 210-217, Mar 2005.
[21] P. Kyriazidis, et al., “Equivalent circuit parameter extraction techniques for a PCS ceramic filter, using commercial
electromagnetic software”, 36th
European Microwave Conference, 2006, pp. 1159-1162.
[22] S. Tsitsos, et al., “Design of a 3-pole PCS-type monoblock filter using an equivalent circuit approach”, AEÜ
International Journal of Electronics and Communications, vol. 60, pp. 638-646, 2006.
[23] P. Kyriazidis and S. Tsitsos, “Design of a UMTS monoblock filter using an equivalent circuit approach”,
Automated RF and Microwave Measurement Society (ARMMS) Conference, Nov. 2007.
[24] S. Tsitsos, et al., “Efficient CAD design of ceramic block duplexers”, International Journal of Electronics Letters,
vol. 101, no. 1, pp. 50-60, 2014.
[25] Th. I. Kosmanis, et al., “Optimal design of pcs ceramic microwave filters using the differential evolution
algorithm”, ACES Journal, vol. 31, no. 4, pp. 361-365, Apr 2016.
BIOGRAPHY OF AUTHOR
Stelios P. Tsitsos was born in Greece in 1966. He was awarded the Diploma in Electrical and
Computer Engineering from the Democritus University of Thrace, Greece, in 1989. In 1991 he
was awarded the Master’s Degree in Telecommunications Engineering and Digital Electronics
from the University of Manchester Institute of Science and Technology (UMIST), UK. In 1994
he was awarded his Ph.D Degree in Microwave Engineering from the same University. From
1996 to 1999 he worked as a Research Associate at UMIST, UK, where he conducted research
on the design and optimization of ceramic filters for mobile phones, for TDK Corporation,
Japan. From 1999 to 2002 he worked for the Greek Telecommunications Company (OTE) as a
Senior Engineer. In 2002 he joined the Department of Computer Engineering of the
Technological and Educational Institute of Central Macedonia, Serres, Greece, where he is now
a Professor. His research interests include passive and active microwave components and
devices for wireless communications and computational electromagnetics. Dr. Tsitsos is a
member of the Technical Chamber of Greece, IEEE (Institute of Electrical and Electronics
Engineers) and ARMMS (Automated RF and Microwave Measurement Society), UK.

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Advances in Microwave Ceramic Filters

  • 1. International Journal of Electrical and Computer Engineering (IJECE) Vol. 8, No. 5, October 2018, pp. 2762~2772 ISSN: 2088-8708, DOI: 10.11591/ijece.v8i5.pp2762-2772  2762 Journal homepage: http://iaescore.com/journals/index.php/IJECE Advances on Microwave Ceramic Filters for Wireless Communications (Review Paper) Stelios Tsitsos Department of Computer Engineering, Technological and Educational Institute of Central Macedonia, Greece Article Info ABSTRACT Article history: Received Nov 8, 2017 Revised Feb 4, 2018 Accepted Jul 12, 2018 A review of the technological developments on ceramic monoblock filters and duplexers over the years is presented in this work. Early designs based on simulated and measured data are presented along with later designs based on accurate equivalent circuits as well as the use of evolution algorithms for optimal design. Keyword: CAD Ceramic filters Dielectric filters Duplexers Wireless communications Copyright © 2018 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Stelios Tsitsos, Department of Computer Engineering, Technological and Educational Institute of Central Macedonia, Magnesias End, Serres GR-62124, Greece. Email: s.tsitsos@teicm.gr 1. INTRODUCTION Microwave filters and duplexers play an important role in wireless communications by rejecting unwanted signals in the frequency band(s) of interest. Several planar-type structures have been presented in recent years [1], [2], [3], [4]. Although they provide low insertion loss in the passband and sharp rejection in the stop band, these structures are not suitable for modern mobile handsets, tablets, notebooks etc., due to the relatively large area they occupy. Ceramic monoblock filters and duplexers on the other side provide high selectivity, temperature stability, compact size, low insertion loss and low cost [5], [6], [7]. Since the 1980’s continuous advances in such components have resulted in miniaturised and inexpensive microwave filters suitable for mobile communications handsets as well as tablets, notebooks etc. for local area networks applications. The use of ceramic monoblock filters and duplexers really took off in the 1990’s and 2000’s with the vast growth of mobile communications all over the world. The need for even smaller mobile handsets led to the extensive research and development of miniaturised filters and duplexers by a large number of Researchers, Academic Institutes and Companies. The key technique for miniaturising these components is the use of high dielectric constant (30<εr<100) and low loss ceramic materials. The basic topology of these filters consists of adjacent dielectric resonators coupled to each other and to the I/O ports. In this work an attempt has been made to review the technological advances made over the years on the design of ceramic monoblock filters and duplexers. Early designs were based on equivalent “general purpose” circuits found in the literature, and also on simulated and measured data. As a result the measured performance of these devices often departed from the desired specifications and a considerable amount of time was spent on re-designing, re-simulating and trimming. Later work was based on the extraction of more
  • 2. Int J Elec & Comp Eng ISSN: 2088-8708  Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos) 2763 accurate equivalent circuits from first electromagnetic principles and also the use of evolution algorithms for optimal design. 2. CERAMIC BLOCK FILTERS AND DUPLEXERS Early work started in Finland with the design of integrated miniature ceramic filters for 900 MHz cellular mobile radio applications [8] utilising stripline TEM λ/4 cavities with ceramic core. The design was based on models available in the literature, computer simulations and measurements of coupling coefficients for irregular structures. Interdigital and combline filter structures were fabricated using titanate based ceramic compounds with dielectric constants of 37 and 78 respectively as shown in Figure 1. After trimming the fabricated structures good agreement between simulated and measured results was established. Figure 1. Measured coupling coefficients from symmetric resonator pairs without and with irregularities. (a) Interdigital with grooves. (b) Combline with grooves. (c) Combline with a cut [8]. At the same time Isota et al [9] of Mitsubishi Electric CompanyTM, Japan, designed and manufactured a combline ceramic filter with λ/4 resonators operating at 1000 MHz Figure 2. The advantage of this filter was the suppression of the third harmonic where a second pass-band was observed. This was achieved by placing grooves on the outer surface of the dielectric block, which also provided enough inter- resonator coupling. Figure 2. Monoblock dielectric filter configuration: (a) Monoblock dielectric filter, (b) Filter cross-section [9]. The biggest expansion of the use of ceramic monoblock filters for mobile communications took place in the 1990’s with the vast growth of mobile communications, due to the filters’ small size and low cost. MurataTM, Japan, designed and manufactured a fully monoblock ceramic filter with a combline
  • 3.  ISSN: 2088-8708 Int J Elec & Comp Eng, Vol. 8, No. 5, October 2018 : 2762 - 2772 2764 configuration for the 800 MHz band cordless telephone system [10] and also a ceramic monoblock duplexer [11]. This filter consists of a high permittivity (εr=90) dielectric monoblock with multiple cylindrical holes which constitute the inner conductors of the resonators. All surfaces are metallised except the surrounding of the I/O ports and the circumferential gaps inside at the end of the cylindrical holes. This structure is shown in Figure 3(a) and the duplexer structure in Figure 3(b). The design of the filter was based on equivalent circuits available in the literature and 3D Finite Element Method analysis. The experimental and simulated results exhibit a difference of about 5%. (a) (b) Figure 3. (a) Monoblock dielectric filter structure [10], (b) Monoblock dielectric duplexer structure [11]. Kennerley and Hunter [12] designed and manufactured ceramic stripline filters for mobile and wireless LAN’s communications able to overcome the disadvantage of tuning (necessary to compensate for dimensional tolerances) often encountered with monoblock structures. These stripline filters consist of two tiles of ceramic substrate with a transmission line circuit printed on a thin, low permittivity substrate forming a sandwich structure Figure 4. The low permittivity substrate can be extended beyond the ceramic tiles to
  • 4. Int J Elec & Comp Eng ISSN: 2088-8708  Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos) 2765 form the input and output terminals. Grounding is achieved by conductor coating the outside faces of the structure. Kobayashi and Saito [13] of Sumitomo Metal IndustriesTM, Japan, designed and manufactured ceramic filters for cordless phone systems. These filters were constructed by placing stripline made of high permittivity ceramics (εr=90) between microstrip lines made of low permittivity ceramics (εr=15) Figure 5 to achieve additional miniaturisation. Some discrepancies were observed between simulated and measured results. Figure 4. Ceramic stripline filter construction [12]. Figure 5. Miniaturised filter structure [13]. Ishikawa et al [14] of MurataTM, Japan, designed and manufactured planar dielectric resonator filters fabricated in ceramic substrates for millimetre wave applications. The advantage of these filters is that they can easily be integrated into planar circuits, such as MMICs and MICs. Figure 6(a) shows the configuration of a TE010 mode dielectric resonator. The resonator consists of a dielectric substrate and upper and lower metal plates. The dielectric substrate is placed between the metal plates. Both upper and lower surfaces of the substrate are metallised. Thin-film electrodes on both sides of the substrate have hollow patches of the same diameter. The electrodes divide the resonator into three regions to be cutoff against cylindrical TE mode, therefore, the electromagnetic field is concentrated within the circular hollow patches. Figure 6(b) represents the filter configuration. In [15] a method for modelling ceramic comb-line filters was presented. This method considers a ceramic combline filter as a multi-conductor transmission line Figure 7 and extracts equivalent circuit parameters for transmission lines which in turn can easily be simulated by a circuit simulator. Although this method speeds up significantly the simulation process it is limited to uniform multi-conductor transmission lines only and cannot treat any irregular structures. Park and Ziegert [16] published a feasibility study on producing ceramic block filters in small quantities. They used a capacitively coupled lumped element band-pass filter model from the literature and a generic ceramic structure to determine the unloaded Q factor and frequency range Figure 8. Then the filter frequency, order, and shape factor could be tailored with low cost tuning methods to implement the coupling
  • 5.  ISSN: 2088-8708 Int J Elec & Comp Eng, Vol. 8, No. 5, October 2018 : 2762 - 2772 2766 coefficients and mesh resonances to achieve narrow band-pass coupled resonator filters. This was achieved with the use of automated milling or laser etching tools to modify the geometry of both the ceramic and plating and hence the cost of the generic structure and associated equipment was spread over many applications. (a) (b) Figure 6. (a) TE010 mode dielectric resonator (b) Filter configuration based on TE010 mode dielectric resonator [14]. Figure 7. Multi-conductor transmission line [15]. Figure 8. Ceramic block filter and its equivalent circuit model [16]. In [17] a helical ceramic resonator design was described and a sample filter structure based on this type of resonator was presented. The helical resonator structure was produced using standard ceramic
  • 6. Int J Elec & Comp Eng ISSN: 2088-8708  Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos) 2767 resonator technology and led to substantial miniaturisation of the filters. This type of resonator and the associated filter are illustrated in Figures 9 and Figure 10. Figure 9. Cross-sectional view of two ceramic resonator structures: (a) conventional coaxial. (b) helical [17]. Figure 10. A generalised ceramic monoblock filter utilising 4 helical resonators [17] 3. RESULTS AND DISCUSSION So far we have seen that the extraction of the equivalent circuit parameters for monoblock structures is usually performed using experimental and electromagnetic simulation data fitted to a basic topology equivalent model found in the literature with arbitrary initial values. This basic model is often limited and optimisation may result in unrealistic parameter values. Since 2004 Tsitsos et al and Kyriazidis et al produced an extensive work on ceramic monoblock filter modelling and design. Initially they presented practical electromagnetic analysis techniques [18] including the application of symmetry [19] to speed up electromagnetic simulation times and to improve simulation accuracy. Then they presented a CAD parameter extraction technique [20],[21] to produce accurate equivalent circuits. This technique is based on first electromagnetic principles thus providing a physical insight into the extraction process. In this way accurate equivalent circuits can be produced for each individual monoblock structure thus avoiding the “general purpose” equivalent circuits found in the literature. The main advantage of this technique is its suitability for analysing structures of arbitrary geometry and materials. Based on these techniques it was possible to design ceramic monoblock filters for mobile handsets operating in the PCS and UMTS frequency bands [22], [23] Figure 11. As an example, the inductances and capacitances associated with the filter’s cups and the impedances associated with the filter’s resonators were determined by numerically solving well established electromagnetic equations in the “field calculator” menu of HFSS. The capacitance per unit length of a
  • 7.  ISSN: 2088-8708 Int J Elec & Comp Eng, Vol. 8, No. 5, October 2018 : 2762 - 2772 2768 transmission line is given by C=q/V, where the electric charge q is calculated from the electric flux density D over a closed surface A as shown in Figure 12. (a) (b) Figure 11. (a) Ceramic monoblock filter layout. (b) Equivalent circuit [21]. (a) (b) Figure 12. (a) Extraction of filter’s cup capacitance to ground. (b) Extraction of inductances associated with the filter’s cups [21].
  • 8. Int J Elec & Comp Eng ISSN: 2088-8708  Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos) 2769 dAE=dAD A ⋅⋅ ∫∫ ε A =q (1) and the voltage V is evaluated by integrating the electric field E along a line integral in the r direction: drV ⋅Ε−= ∫ (2) The inductance per unit length of a transmission line is given by L=Φ/Ι. The magnetic flux Φ is calculated by integrating the magnetic flux density B normal to an open surface S in a radial direction: dSH=dSB S ⋅⋅Φ ∫∫ µ S = (3) and the current I is calculated by integrating the magnetic field H around a closed contour: dlH ⋅∫C =I (4) The equivalent extracted parameter values are presented in Table 1. Figure 13 presents the circuit and structural response of the filter. Table 1. Equivalent Circuit Extracted Parameter Values [21]. Equivalent circuit parameters Extracted values Optimised values Cup #1 (#3) capacitance to ground: C1=C3 1.8065 pF 1.5217 pF Cup #1 (#3) inductance: L1=L3 0.1138 nH 0.0839 nH Cup #2 capacitance to ground: C2 0.4833 pF 0.2503 pF Coupling capacitance between cups # 1 and #2 (# 2 and #3): C12= C23 0.6533 pF 0.6457 pF Cup #1 (#3) capacitance to port: Cport 1.3454 pF 0.5933 pF Resonator #1 (#3) to cup #1 (#3) discontinuity inductance: L1disc= L3disc 0.05115 nH 0.0640 nH Resonator #1 (#3) characteristic impedance: Z01=Z03 5.9680 Ohms 7.3994 Ohms Resonator #2 characteristic impedance: Z02 6.7980 Ohms 7.9880 Ohms Even-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z0e 6.9705 Ohms 9.0909 Ohms Odd-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z0o 5.2680 Ohms 6.7338 Ohms Transformed resonator #1 (or #3) characteristic impedance: Z´0 11.9360 Ohms 14.7987 Ohms Transformed even-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z´0e 15.3543 Ohms 22.2189 Ohms Transformed odd-mode characteristic impedance of resonators #1 and #2 (#2 and #3): Z´0ο 8.9692 Ohms 11.9740 Ohms Figure 13. PCS filter structural and equivalent circuit response [21].
  • 9.  ISSN: 2088-8708 Int J Elec & Comp Eng, Vol. 8, No. 5, October 2018 : 2762 - 2772 2770 Based on the techniques described above a duplexer suitable for a mobile handset operating in the UMTS receive and transmit frequency bands was designed [24] Figure 14. Its frequency response is presented in Figure 15. The above work was extended further by applying efficiently the Differential Evolution Algorithm (DEA) combined with the Finite Element Method (FEM) towards the optimal shape design of ceramic microwave filters in order to meet specific requirements [22]. The overall algorithm was implemented by a two-step procedure, which is repeated iteratively. In the first step, for a given set of the design parameters values, the electromagnetic analysis problem is solved using the Ansoft HFSS computational package, which is based on the FEM. In the second step, the DEA updates the values of the design parameters based on their performance in meeting the design specifications. (a) (b) Figure 14. (a) UMTS ceramic block duplexer layout. (b) Equivalent circuit topology [24].
  • 10. Int J Elec & Comp Eng ISSN: 2088-8708  Advances on Microwave Ceramic Filters for Wireless… Stelios Tsitsos) 2771 Figure 15. Frequency response of the UMTS duplexer of Figure 14 [24]. 4. CONCLUSION An extensive review of the technological developments on ceramic monoblock filters and duplexers over the years is presented in this work. The review of course is not exhaustive but the basic milestones on the design and development of these structures was presented. It was shown that although early designs were based on simulated and measured data, later designs were based on accurate equivalent circuits as well as the use of evolution algorithms for optimal design. ACKNOWLEDGEMENTS The author would like to acknowledge the Research Committee of the Technological and Educational Institute (T.E.I.) of Central Macedonia, Serres, Greece for supporting this work. (Decision SAT/IC/090517-67/10/P/6). REFERENCES [1] U. Rafique, et al., “Bandstop Filter Design for GSM Shielding Using Frequency Selective Surfaces”, International Journal of Electrical and Computer Engineering (IJECE), vol. 2, no.6, pp. 846-850, Dec 2012. [2] F. Aytouna, et al., “A Novel CPW Low Cost Lowpass Filter Integrating Periodic Structures”, International Journal of Electrical and Computer Engineering (IJECE), vol. 6, no. 3, pp. 1106-1111, June 2016. [3] A. Boutejdar, et al., “Design and Improvement of a Compact Bandpass Filter using DGS Technique for WLAN and WiMAX Applications”, TELKOMNIKA, vol. 15, no.3, pp. 1137-1144, Sept 2017. [4] M. A. Sazali et al., “ Hybrid Microstrip Diplexer Design for Multi-band WiMAX Application in 2.3 and 3.5 GHz Bands”, International Journal of Electrical and Computer Engineering (IJECE), vol. 8, no. 1, pp. 576-584, Feb 2018. [5] S. J. Fiedziuszko, et al., “Dielectric Materials, Devices, and Circuits”, IEEE Transactions on Microwave Theory and Techniques, vol. 50, no. 3, pp. 706-720, Mar 2002. [6] I. M. Reaney and D. Iddle, “Microwave Dielectric Ceramics for Resonators and Filters in Mobile Phone Networks”, Journal of the American Ceramic Society, vol. 89, iss. 7, pp. 2063–2072, July 2006. [7] M. Le Coq, et al., “Miniature microstrip filter using high-permittivity ceramic substrates (er=90)”, IEEE MTT-S International Microwave Symposium Digest, pp. 1-4, 2011. [8] E. Kemppinen, et al., “Realization of Integrated Miniature Ceramic Filters for 900 MHz Cellular Mobile Radio Applications”, 17th European Microwave Conference, pp. 175-180, 1987. [9] Y. Isota, et al., “A Grooved Monoblock Comb-Line Filter Suppressing the Third Harmonics”, IEEE MTT-S International Microwave Symposium Digest, Vol. 1, pp. 383–386, 1987. [10] H. Matsumoto, et al., “A miniaturized dielectric monoblock band-pass filter for 800 MHz band cordless telephone system”, IEEE MTT-S International Microwave Symposium Digest, Vol. 1, pp. 249–252, 1994. [11] H. Matsumoto, et al., “A miniaturized dielectric monoblock duplexer matched by the buried impedance transforming circuit”, IEEE MTT-S International Microwave Symposium Digest, Vol. 3, pp. 1539–1542, 1995. [12] A.J. Kennerley and I.C. Hunter, “Miniature microwave filters using high permittivity ceramics”, IEEE MTT-S Symposium on Technology Wireless Applications Digest, pp. 135–139, 1995. [13] S. Kobayashi and K. Saito, “A miniaturized ceramic bandpass filter for cordless phone systems”, IEEE MTT-S International Microwave Symposium Digest, Vol. 2, pp. 391–394, 1995. [14] Y. Ishikawa, et al., “V band planar type dielectric resonator filter fabricated in ceramic substrate”, Topical Symposium on Millimeter Waves, pp. 93-96, 1997.
  • 11.  ISSN: 2088-8708 Int J Elec & Comp Eng, Vol. 8, No. 5, October 2018 : 2762 - 2772 2772 [15] T. Uusitupa and J. Loukkola, “On the modelling of ceramic combline RF-filter”, 27th European Microwave Conference, Vol. 2, pp. 1092-1097, 1997. [16] S.K. Park and J. C. Ziegert, “Ceramic block bandpass filter components for small quantity applications”, IEEE Southeastcom ’98 Proceedings, pp. 144-147, 1998. [17] R. S. Kwok and S. J. Fiedziuszko, “Helical ceramic resonator structures”, IEEE MTT-S International Microwave Symposium Digest, Vol. 3, 1999. [18] S. Tsitsos, et al., “Electromagnetic analysis techniques for 3-D microwave structures using commercial electromagnetic software”, Microwave and Optical Technology Letters, vol. 40, no. 4, pp. 335-339, Feb 2004. [19] S. Tsitsos, et al., “Application of the symmetry eigenvalue approach to the analysis of a PCS-type ceramic monoblock filter”, International Journal of Electronics, vol. 94, no. 6, pp. 653-661, Jun 2007. [20] S. Tsitsos, et al., “A new technique for the extraction of equivalent circuit parameters from 3-D monoblock filters”, International Journal of RF and Microwave Computer-Aided Engineering, vol. 15, no. 2, pp. 210-217, Mar 2005. [21] P. Kyriazidis, et al., “Equivalent circuit parameter extraction techniques for a PCS ceramic filter, using commercial electromagnetic software”, 36th European Microwave Conference, 2006, pp. 1159-1162. [22] S. Tsitsos, et al., “Design of a 3-pole PCS-type monoblock filter using an equivalent circuit approach”, AEÜ International Journal of Electronics and Communications, vol. 60, pp. 638-646, 2006. [23] P. Kyriazidis and S. Tsitsos, “Design of a UMTS monoblock filter using an equivalent circuit approach”, Automated RF and Microwave Measurement Society (ARMMS) Conference, Nov. 2007. [24] S. Tsitsos, et al., “Efficient CAD design of ceramic block duplexers”, International Journal of Electronics Letters, vol. 101, no. 1, pp. 50-60, 2014. [25] Th. I. Kosmanis, et al., “Optimal design of pcs ceramic microwave filters using the differential evolution algorithm”, ACES Journal, vol. 31, no. 4, pp. 361-365, Apr 2016. BIOGRAPHY OF AUTHOR Stelios P. Tsitsos was born in Greece in 1966. He was awarded the Diploma in Electrical and Computer Engineering from the Democritus University of Thrace, Greece, in 1989. In 1991 he was awarded the Master’s Degree in Telecommunications Engineering and Digital Electronics from the University of Manchester Institute of Science and Technology (UMIST), UK. In 1994 he was awarded his Ph.D Degree in Microwave Engineering from the same University. From 1996 to 1999 he worked as a Research Associate at UMIST, UK, where he conducted research on the design and optimization of ceramic filters for mobile phones, for TDK Corporation, Japan. From 1999 to 2002 he worked for the Greek Telecommunications Company (OTE) as a Senior Engineer. In 2002 he joined the Department of Computer Engineering of the Technological and Educational Institute of Central Macedonia, Serres, Greece, where he is now a Professor. His research interests include passive and active microwave components and devices for wireless communications and computational electromagnetics. Dr. Tsitsos is a member of the Technical Chamber of Greece, IEEE (Institute of Electrical and Electronics Engineers) and ARMMS (Automated RF and Microwave Measurement Society), UK.