Window Functions and Their Applications in Signal Processing: 1st Edition (e-Book) book cover

Window Functions and Their Applications in Signal Processing

1st Edition

By K. M. M. Prabhu

CRC Press

404 pages | 363 B/W Illus.

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Description

Window functions—otherwise known as weighting functions, tapering functions, or apodization functions—are mathematical functions that are zero-valued outside the chosen interval. They are well established as a vital part of digital signal processing. Window Functions and their Applications in Signal Processing presents an exhaustive and detailed account of window functions and their applications in signal processing, focusing on the areas of digital spectral analysis, design of FIR filters, pulse compression radar, and speech signal processing.

Comprehensively reviewing previous research and recent developments, this book:

  • Provides suggestions on how to choose a window function for particular applications
  • Discusses Fourier analysis techniques and pitfalls in the computation of the DFT
  • Introduces window functions in the continuous-time and discrete-time domains
  • Considers two implementation strategies of window functions in the time- and frequency domain
  • Explores well-known applications of window functions in the fields of radar, sonar, biomedical signal analysis, audio processing, and synthetic aperture radar

Reviews

"I think this book gives an excellent overview of window functions and their applications in a variety of DSP applications. It describes a huge amount of different windows and it describes the properties of these windows. It also describes the use of windows in a large number of applications. It helps the reader by choosing a proper window for a particular application. As far as I know it is the first general book about this important subject."

—Ad van den Enden, DSP Consultancy

"An excellent text that covers all aspect of window functions. A must for anyone with interest in utilising windows for signal processing."

—Palaniappan Ramaswamy, University of Wolverhampton

"A book dedicated to window functions was indeed missing. Congratulations on filling the void."

—Professor Nadav Levanon, Department of Electrical Engineering Systems, Tel Aviv University,

Israel

Table of Contents

Fourier Analysis Techniques for Signal Processing

Review of Basic Signals and Systems

Continuous-Time Fourier Transform

Discrete-Time Fourier Transform

Z-Transform

Discrete Fourier Transform

Fast Fourier Transform

Pitfalls in the Computation of DFT

Sampling, Reconstruction, and Aliasing

Frequency Leakage Effect

DFT as a Filter Bank

Picket-Fence Effect or Scalloping Loss

Zero-Padding and Frequency Resolution

Review of Window Functions

Introduction

Characteristics of a Window Function

List of Windows

Rate of Fall-Off Side-Lobe Level

Comparison of Windows

Performance Comparison of Data Windows

Definition of Window Parameters

Computation of Window Parameters

Discussion on Window Selection

Discrete-Time Windows and Their Figures of Merit

Different Classes of Windows

Discrete-Time Windows

Figures of Merit

Time–Bandwidth Product

Applications of Windows

Time-and Frequency-Domain Implementations of Windows

Time-Domain Implementation

A Programmable Windowing Technique

Computational Error in Time and Frequency Domains

Canonic Signed Digit Windowing

Modified Zeroth-Order Kaiser–Bessel Window Family

Summary

FIR Filter Design Using Windows

Ideal Filters

Linear Time Invariant Systems

FIR Filters

IIR Filters

Structure of an FIR Filter

FIR Filter Design

Kaiser–Bessel Windows for FIR Filter Design

Design of Differentiator by Impulse Response Truncation

Design of Hilbert Transformer Using Impulse Response Truncation

Application of Windows in Spectral Analysis

Nonparametric Methods

Applications of Windows

Windows in High Range Resolution Radars

Effect of Range Side Lobe Reduction on SNR

Window Functions in Stretch Processing

Application of Window Functions in Biomedical Signal Processing

Audio Denoising Using the Time–Frequency Plane

Effect of Windows on Linear Prediction of Speech

Application of Windows in Image Processing

Windows to Improve Contrast Ratio in Imaging Systems

About the Author

K.M.M. Prabhu is a professor in the Department of Electrical Engineering, I.I.T. Madras at Chennai, and a Senior Member of the Institution of Electrical and Electronics Engineers (IEEE).

Subject Categories

BISAC Subject Codes/Headings:
COM059000
COMPUTERS / Computer Engineering
TEC007000
TECHNOLOGY & ENGINEERING / Electrical
TEC061000
TECHNOLOGY & ENGINEERING / Mobile & Wireless Communications