Salient Features:
The magnitude response is nearly constant(equal to 1) at lower frequencies
There are no ripples in passband and stop band
The maximum gain occurs at Ω=0 and it is H(Ω)=1
The magnitude response is monotonically decreasing
As the order of the filter ‘N’ increases, the response of the filter is more close to the ideal response
Using Chebyshev filter design, there are two sub groups,
Type-I Chebyshev Filter
Type-II Chebyshev Filter
The major difference between butterworth and chebyshev filter is that the poles of butterworth filter lie on the circle while the poles of chebyshev filter lie on ellipse.
Using Chebyshev filter design, there are two sub groups,
Type-I Chebyshev Filter
Type-II Chebyshev Filter
The major difference between butterworth and chebyshev filter is that the poles of butterworth filter lie on the circle while the poles of chebyshev filter lie on ellipse.
In communication system, intersymbol interference (ISI) is a form of distortion of a signal in which one symbol interferes with subsequent symbols. This is an unwanted phenomenon as the previous symbols have similar effect as noise, thus making the communication less reliable.
In communication system, the Nyquist ISI criterion describes the conditions which when satisfied by a communication channel (including responses of transmit and receive filters), result in no intersymbol interference(ISI). It provides a method for constructing band-limited functions to overcome the effects of intersymbol interference.
Frequency-Shift Keying, also known as FSK is a type of digital frequency modulation. It is also often called as binary frequency shift keying or BFSK
Similar to analog FM, it is a constant-amplitude angle modulation.
This presentation will discuss the concepts behind FSK
The Presentation includes Basics of Non - Uniform Quantization, Companding and different Pulse Code Modulation Techniques. Comparison of Various PCM techniques is done considering various Parameters in Communication Systems.
The presentation covers sampling theorem, ideal sampling, flat top sampling, natural sampling, reconstruction of signals from samples, aliasing effect, zero order hold, upsampling, downsampling, and discrete time processing of continuous time signals.
In communication system, intersymbol interference (ISI) is a form of distortion of a signal in which one symbol interferes with subsequent symbols. This is an unwanted phenomenon as the previous symbols have similar effect as noise, thus making the communication less reliable.
In communication system, the Nyquist ISI criterion describes the conditions which when satisfied by a communication channel (including responses of transmit and receive filters), result in no intersymbol interference(ISI). It provides a method for constructing band-limited functions to overcome the effects of intersymbol interference.
Frequency-Shift Keying, also known as FSK is a type of digital frequency modulation. It is also often called as binary frequency shift keying or BFSK
Similar to analog FM, it is a constant-amplitude angle modulation.
This presentation will discuss the concepts behind FSK
The Presentation includes Basics of Non - Uniform Quantization, Companding and different Pulse Code Modulation Techniques. Comparison of Various PCM techniques is done considering various Parameters in Communication Systems.
The presentation covers sampling theorem, ideal sampling, flat top sampling, natural sampling, reconstruction of signals from samples, aliasing effect, zero order hold, upsampling, downsampling, and discrete time processing of continuous time signals.
Digital Implementation of Costas Loop with Carrier RecoveryIJERD Editor
Demodulator circuit is a basic building block of wireless communication. Digital implementation of
demodulator is attracting more attention for the significant advantages of digital systems than analog systems.
The carrier signal extraction is the main problem in synchronous demodulation in design of demodulator based
on Software Defined Radio. When transmitter or receiver in motion, it is difficult for demodulator to generate
carrier signal same in frequency and phase as transmitter carrier signal due to Doppler shift and Doppler rate.
Here the digital implementation of Costas loop for QPSK demodulation in continuous mode is discussed with
carrier recovery using phase locked loop.
- Obtained the Fast Fourier Transform of signals.
- Designed and Validated Low Pass, High Pass, and Band Pass filters in compliance with the specifications.
- Produced and compared graphs of the results upon processing.
Performance Analysis and Simulation of Decimator for Multirate ApplicationsIJEEE
In this paper, a decimator design has been presented for multirate digital signal processing. The decimator design has been analysed and simulated for performance comparison in terms of filter order and ripple factor. Direct form-I with decimation factor 2 have been used for performance and ripple analysis. The decimators have been designed & simulated using MATLAB. It can be observed from the simulated results that as we increase the filter order, ripple factor decreases, for the same filter structure. On the other hand, increasing filter order will increase its area and implementation cost.
An orthogonal system is one in which the coordinates arc mutually perpendicular
Examples of orthogonal coordinate systems include the Cartesian (or rectangular), the circular cylindrical, the spherical, the elliptic cylindrical, the parabolic cylindrical, the conical, the prolate spheroidal, the oblate spheroidal, and the ellipsoidal.1
A considerable amount of work and time may be saved by choosing a coordinate system that best fits a given problem
A hard problem in one coordi nate system may turn out to be easy in another system.
In this text, we shall restrict ourselves to the three best-known coordinate systems: the Cartesian, the circular cylindrical, and the spherical.
Scalar: A scalar is a quantity that has only magnitude.
Quantities such as time, mass, distance, temperature, entropy, electric potential, and population are scalars
Vector: The quantities which have magnitude as well as direction are termed as vector quantities.
Examples are velocity, acceleration, force, momentum etc.
The process of communication and Basic Block Diagram of Communication system is presented in this PPT.
The various Blocks like Information Source, Transmitter, Communication Channel, Noise, Receiver and Destination Blocks are discussed in detail
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
MARUTI SUZUKI- A Successful Joint Venture in India.pptx
Butterworth filter
1. Designing of IIR Digital Filters
Butterworth Filter
1
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
2. Analog Filter Approximation
• Ideal low pass filter:
• It passes frequencies till
cut off frequency fc.
• After that it blocks all the
Frequencies as shown in the
fig.1 ffc
|H(f)|
Pass band Stop band
Fig.1 Characteristics of a low pass filter
2
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
3. Approximation in ideal
characteristics
• Several approximations have been
made as shown in fig. 2:
• fp is passband edge frequency at
which reduction has been started
• fs is stopband edge frequency
after which filter blocks all the
frequencies.
• fc lies between fs and fp
• fc is 3db down to the maximum
value in the log scale and 1/√2 of
the maximum value in the
absolute scale
• ∆f is the transition frequency from
pass band to stop band
Fig.2 Approximation in ideal characteristics
f
)( fH
-
3dB
1
fp fc fs
∆f
3
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
4. Butterworth Filter Approximation
• The magnitude response
of a butterworth filter is
shown in fig.3
• The magnitude
response of low pass
butterworth filter is
given by
1
Ap
0.5
As
Ωp Ωc Ωs Ω
Pass Band
Attenuation
Stop Band
Attenuation
Pass Band
Edge
Stop Band
Edge
Fig.3 Manitude response of low pass butterworth filter
2
)(H
4
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
5. Salient Features of low pass
Butterworth Filter
IH(Ω)I
Ω
1
1/√2
0
ΩC
Ideal Characteristics
N=2
N=4
N=8
Fig.4 Effect of N on the characteristics
•The magnitude response is
nearly constant(equal to 1) at
lower frequencies
•There are no ripples in
passband and stop band
•The maximum gain occurs at
Ω=0 and it is H(Ω)=1
•The magnitude response is
monotonically decreasing
•As the order of the filter ‘N’
increases, the response of the
filter is more close to the ideal
response 5
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
6. Designing using Butterworth
Approximation
•Design equation and design steps:
Let A p=Attenuation in passband
As=Attenuation in stop band
Ωp=Passband edge frequency
Ωc=Cut off frequency
Ωs=Stopband edge frequency
•In the problem the specifications of required digital filter is given and it
will be asked to design a particular discrete time butterworth filter.The
following steps should be used:
Step I:From the given specifications of digital filter, obtain equivalent
analog filter as follows:
(a) For Impulse Invariance method:
TS
6
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
7. (b) For bilinear transformation method:
Here Ω = Frequency of analog filter
ω=Frequency of digital filter
Ts = Sampling Time
Step II: Calculate the order N of filter using the equation,
2
tan
2
TS
)log(
1
1
1
2
1
log
2
1
2
P
S
PA
AS
N
7
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
8. If specifications are given in decibels(dB) then use the equation
Step III: Calculation of cut off frequency (Ωc)
The cut off frequency (Ωc) of analog filter is calculated as:
(a) For Impulse Invariance method:
For Bilinear Transformation method:
P
S
dB
dB
A
A
N
P
S
log
1
1
log
2
1 10
10
)(1.0
)(1.0
TS
C
C
2
tan
2 C
S
C
T
8
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
9. When ωc is not given then use the equation
And if specifications are in dB then use
Step IV: Calculate the poles using
,k=0,1,2,……N-1
If the poles are complex conjugate then organize the poles ( P k) as complex
conjugate pairs that means s1 and , s2 and etc.
1
1
2
2
1
AP
N
P
c
110
1.0
AP
P
C
eP N
kNj
ck
2
12
s
*
1 s
*
2
9
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology
10. Step V: Calculate the system transfer function of analog filter using,
And if poles are complex conjugate then,
Step VI: Design the digital filter using impulse invariance method or
bilinear transformation method.
...
)(
21
pp ss
sH
N
c
ssss ssss
sH
N
c
*
22
*
11
)(
10
Mohammad Akram,AP,ECE Department,
Jahangirabad Institute of Technology