Magnitude And Delay Approximation Of 1 D And 2 D Digital Filters
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Magnitude and Delay Approximation of 1-D and 2-D Digital Filters
Author: Belle A. Shenoi
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
There are more than 100 books on Circuit Analysis, Network Synthesis, Ana log and Digital Filters and Signal Processing written at the undergraduate and graduate level and a few more written as Reference and Handbooks. When and if they discuss the design of analog and digital filters, they treat mainly the approximation of the magnitude response of the filters and very little of their phase or group delay response. There is hardly any discussion of designing fil ters that simultaneously approximate the magnitude and group delay response of the filters. Thus most of the books routinely discuss Butterworth, Chebyshev and sometimes the Cauer or elliptic function response of the lowpass prototype filters, followed by the transformations to design highpass, bandpass and band stop filters-all of them approximating their magnitude response only. Due to the rapid progress from analog to digital communication and data transmission that has taken place in recent years, there is a greater need for designing filters that approximate both the magnitude and group delay requirements. So also is the need to design 2-dimensional digital filters,particularly those used in image processing, that approximate prescribed magnitude as well as constant group delay responses. A lot of research work has been published in professional jour nals on the design of these filters in the last 10-15 years.
Introduction to Digital Signal Processing and Filter Design
A practical and accessible guide to understanding digital signal processing Introduction to Digital Signal Processing and Filter Design was developed and fine-tuned from the author's twenty-five years of experience teaching classes in digital signal processing. Following a step-by-step approach, students and professionals quickly master the fundamental concepts and applications of discrete-time signals and systems as well as the synthesis of these systems to meet specifications in the time and frequency domains. Striking the right balance between mathematical derivations and theory, the book features: * Discrete-time signals and systems * Linear difference equations * Solutions by recursive algorithms * Convolution * Time and frequency domain analysis * Discrete Fourier series * Design of FIR and IIR filters * Practical methods for hardware implementation A unique feature of this book is a complete chapter on the use of a MATLAB(r) tool, known as the FDA (Filter Design and Analysis) tool, to investigate the effect of finite word length and different formats of quantization, different realization structures, and different methods for filter design. This chapter contains material of practical importance that is not found in many books used in academic courses. It introduces students in digital signal processing to what they need to know to design digital systems using DSP chips currently available from industry. With its unique, classroom-tested approach, Introduction to Digital Signal Processing and Filter Design is the ideal text for students in electrical and electronic engineering, computer science, and applied mathematics, and an accessible introduction or refresher for engineers and scientists in the field.
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Dealing with digital filtering methods for 1-D and 2-D signals, this book provides the theoretical background in signal processing, covering topics such as the z-transform, Shannon sampling theorem and fast Fourier transform. An entire chapter is devoted to the design of time-continuous filters which provides a useful preliminary step for analog-to-digital filter conversion. Attention is also given to the main methods of designing finite impulse response (FIR) and infinite impulse response (IIR) filters. Bi-dimensional digital filtering (image filtering) is investigated and a study on stability analysis, a very useful tool when implementing IIR filters, is also carried out. As such, it will provide a practical and useful guide to those engaged in signal processing.