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RF and Microwave Frequency Circuits and systems RN620
Maximally Flat Microwave Filter Design
To design a maximally flat filter with 12dB attenuation at 1.3333 times cutoff
frequency of 3.8GHz.
We have
fc = 3.8 GHz
And at 1.3333 times fc
Attenuation = 12dB
i.e.
10 log PLR = 12
So,
PLR = 15.84

(

Using PLR = 1 + k 2 w / wc
N = 4.689 ≈ 5

)

2N

Using g0 = gN+1 = 1
And gn = 2 sin [(2n - 1) Π / 2N]; n = 1, 2... N
g1 = 0.618
g2 = 1.618
g3 = 2
g4 = 1.618
g5 = 0.618
And making impedance and frequency scaling with R0 = 50 Ω and ωc = 2 Π fc
Using L = L n ( R0 / ωc )
;L n is normalized inductance
And C = C n / ( R0 ωc )
;C n is normalized capacitance

1
RF and Microwave Frequency Circuits and systems RN620
We get

2
RF and Microwave Frequency Circuits and systems RN620

distributed component form

For a capacitance
The impedance Z0 = 20 Ω
And effective electrical length (θ) = C ( Z0 / R0 )
For inductance
The impedance Z0 = 100 Ω
And effective electrical length (θ) = L ( R0 / Z0 )
section

θ

1
2
3
4
5

14.16
46.35
45.83
46.35
14.16

3
RF and Microwave Frequency Circuits and systems RN620

Magnitude of lumped and distibuted

4
RF and Microwave Frequency Circuits and systems RN620

Also the presence of the capacitance due to junction transition effect was simulated in
ADS by using the microstrip step (MSTEP) component. The effect was not included
in our calculation but is present in the actual board so we must take it into account if
our design is to meet the given specifications.

From the figure we can see the effect of using the distributed component
instead of the lumped components. Use of distributed component tends to deviate the
curve from the lumped component curve at high frequencies. But we still have to
make account if the transitional capacitance between microstrip lines. In that case we
see there is a change in the attenuation again.

5
RF and Microwave Frequency Circuits and systems RN620
Now to get as close as possible to the lumped curve, we change the length parameter
of all the microstrips proportionally. We had to change the length of each microstrip
to about 82% of the actual length required. Final curve after matching is given below.

6
RF and Microwave Frequency Circuits and systems RN620

7

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Lab3_RF_chebysev_filter

  • 1. RF and Microwave Frequency Circuits and systems RN620 Maximally Flat Microwave Filter Design To design a maximally flat filter with 12dB attenuation at 1.3333 times cutoff frequency of 3.8GHz. We have fc = 3.8 GHz And at 1.3333 times fc Attenuation = 12dB i.e. 10 log PLR = 12 So, PLR = 15.84 ( Using PLR = 1 + k 2 w / wc N = 4.689 ≈ 5 ) 2N Using g0 = gN+1 = 1 And gn = 2 sin [(2n - 1) Π / 2N]; n = 1, 2... N g1 = 0.618 g2 = 1.618 g3 = 2 g4 = 1.618 g5 = 0.618 And making impedance and frequency scaling with R0 = 50 Ω and ωc = 2 Π fc Using L = L n ( R0 / ωc ) ;L n is normalized inductance And C = C n / ( R0 ωc ) ;C n is normalized capacitance 1
  • 2. RF and Microwave Frequency Circuits and systems RN620 We get 2
  • 3. RF and Microwave Frequency Circuits and systems RN620 distributed component form For a capacitance The impedance Z0 = 20 Ω And effective electrical length (θ) = C ( Z0 / R0 ) For inductance The impedance Z0 = 100 Ω And effective electrical length (θ) = L ( R0 / Z0 ) section θ 1 2 3 4 5 14.16 46.35 45.83 46.35 14.16 3
  • 4. RF and Microwave Frequency Circuits and systems RN620 Magnitude of lumped and distibuted 4
  • 5. RF and Microwave Frequency Circuits and systems RN620 Also the presence of the capacitance due to junction transition effect was simulated in ADS by using the microstrip step (MSTEP) component. The effect was not included in our calculation but is present in the actual board so we must take it into account if our design is to meet the given specifications. From the figure we can see the effect of using the distributed component instead of the lumped components. Use of distributed component tends to deviate the curve from the lumped component curve at high frequencies. But we still have to make account if the transitional capacitance between microstrip lines. In that case we see there is a change in the attenuation again. 5
  • 6. RF and Microwave Frequency Circuits and systems RN620 Now to get as close as possible to the lumped curve, we change the length parameter of all the microstrips proportionally. We had to change the length of each microstrip to about 82% of the actual length required. Final curve after matching is given below. 6
  • 7. RF and Microwave Frequency Circuits and systems RN620 7