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What is Phase Response

Chapter 522
Encyclopedia of Information Science and Technology, Fourth Edition
Is a function of the angular frequency ? where every value is obtained as the phase of the complex value of the frequency response in that frequency ? . If the value of the frequency response in ? is a complex number of the form a ( ? ) + i b ( ? ), the phase of that number is given by arctan { b ( ? )/ a ( ? )}. When the samples of the impulse are real numbers, the phase response is anti-symmetric and hence it is described just in the interval of ? from 0 to p .
Published in Chapter:
Comb Filters Characteristics and Current Applications
Miriam Guadalupe Cruz-Jimenez (Institute INAOE, Mexico), David Ernesto Troncoso Romero (CONACYT at ESCOM-IPN, Mexico), and Gordana Jovanovic Dolecek (Institute INAOE Puebla, Mexico)
Copyright: © 2018 |Pages: 12
DOI: 10.4018/978-1-5225-2255-3.ch522
Abstract
The comb filter is a very popular linear-phase filter due its simplicity, i.e. all its coefficients are equal to unity. As a consequence, it does not require multipliers or coefficients storage. This characteristic makes this filter attractive for many applications, as for example, in decimation, communications, digital audio, among others. However, the comb filter presents passband droop and a poor attenuation in the stopband region. In this proposal, the comb filter characteristics are reviewed and illustrated with one example. Additionally, the selected methods commonly used to improve the magnitude characteristics of a comb filter will be described and illustrated with examples.
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Chapter 542
Novel Methods to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters
A function of the frequency f where every value is obtained as the phase of the complex value of the frequency response in that frequency f . If the value of the frequency response in f is a complex number of the form a ( f ) + i b ( f ), the phase of that number is given by arctan { b ( f )/ a ( f )}.
Published in Chapter: Novel Methods to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters; From: Encyclopedia of Information Science and Technology, Fourth Edition
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Chapter 162
Design and Applications of Digital Filters
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Chapter 50
Digital Filters
The phase of the Fourier transform of the unit sample response. For a real impulse response digital filter, the phase response is an odd function of the frequency.
Published in Chapter: Digital Filters; From: Encyclopedia of Multimedia Technology and Networking, Second Edition
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Chapter 400
Comb Filters Characteristics and Applications
A function of the angular frequency ? where every value is obtained as the phase of the complex value of the frequency response in that frequency ? . If the value of the frequency response in ? is a complex number of the form a ( ? ) + i × b ( ? ), the phase of that number is given by arctan { b ( ? )/ a ( ? )}. When the samples of the impulse are real numbers, the phase response is anti-symmetric and hence it is described just in the interval of ? from 0 to p .
Published in Chapter: Comb Filters Characteristics and Applications; From: Encyclopedia of Information Science and Technology, Third Edition
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Chapter 151
Efficient Techniques to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters
A function of the frequency f where every value is obtained as the phase of the complex value of the frequency response in that frequency f . If the value of the frequency response in f is a complex number of the form a ( f ) + i b( f ), the phase of that number is given by arctan { b ( f )/ a ( f )}.
Published in Chapter: Efficient Techniques to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters; From: Encyclopedia of Information Science and Technology, Third Edition
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