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What is Magnitude Response

Chapter 542
Encyclopedia of Information Science and Technology, Fourth Edition
A function of the frequency f where every value is obtained as the magnitude 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 magnitude of that number is given by {[ a ( f )] 2 + [ b ( f )] 2 } 1/2 .
Published in Chapter:
Novel Methods to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters
David Ernesto Troncoso Romero (CONACYT at ESCOM-IPN, Mexico) and Gordana Jovanovic Dolecek (Institute INAOE Puebla, Mexico)
Copyright: © 2018 |Pages: 11
DOI: 10.4018/978-1-5225-2255-3.ch542
Abstract
Digital filters play a central role in modern Digital Signal Processing (DSP) systems. Finite Impulse Response (FIR) filters can provide solutions with guaranteed stability and linear phase. However, the main disadvantage of conventional FIR filter designs is that they become computationally complex, especially in applications demanding narrow transition bandwidths. Therefore, designing FIR filters with very stringent specifications and a low complexity is currently an important challenge. In this chapter, a review of the recent methods to efficiently design low-complexity linear-phase FIR filters is presented. The chapter starts with an introduction to linear-phase FIR digital filters. Then, an overview of the design methods that have been developed in literature to design low-complexity FIR filters is presented. Finally, the most common and recent of these methods along with their corresponding special structures are explained.
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Chapter 522
Comb Filters Characteristics and Current Applications
Is a function of the angular frequency ? where every value is obtained as the magnitude 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 magnitude of that number is given by {[ a ( ? )] 2 + [ b ( ? )] 2 } 1/2 . When the samples of the impulse are real numbers, the phase response is symmetric and hence it is described just in the interval of ? from 0 to p .
Published in Chapter: Comb Filters Characteristics and Current Applications; From: Encyclopedia of Information Science and Technology, Fourth Edition
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Chapter 50
Digital Filters
The absolute value of the Fourier transform of the unit sample response. For a real impulse response digital filter, the magnitude response is a real even function of the frequency.
Published in Chapter: Digital Filters; From: Encyclopedia of Multimedia Technology and Networking, Second 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 magnitude 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 magnitude of that number is given by {[ a ( f )] 2 + [ b ( f )] 2 } 1/2 .
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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Chapter 162
Design and Applications of Digital Filters
Absolute value of the complex frequency response.
Published in Chapter: Design and Applications of Digital Filters; From: Encyclopedia of Information Science and Technology, 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 magnitude 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 magnitude of that number is given by {[ a ( ? )] 2 + [ b ( ? )] 2 } 1/2 . When the samples of the impulse are real numbers, the magnitude response is 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
Full Text Chapter Download: US $37.50 Add to Cart
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