Window Functions and Their Applications in Signal Processing

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

Biography

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).

"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