Window Functions and Their Applications in Signal Processing

by K. M. M. Prabhu

Overview

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

Product Details

ISBN-13:	9781351832274
Publisher:	CRC Press
Publication date:	09/03/2018
Sold by:	Barnes & Noble
Format:	eBook
Pages:	404
File size:	32 MB
Note:	This product may take a few minutes to download.

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).

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

Editorial 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

"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

From the Publisher