Window functions and their applications in signal processing 1st edition by Prabhu ISBN 9814463086 978-9814463089

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ISBN 10: 9814463086
ISBN 13: 978-9814463089
Author: Prabhu

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

Window functions and their applications in signal processing 1st Table of contents:

Chapter 1: Introduction to Signal Processing

• Basic principles of signal processing

• The role of Fourier transforms in signal analysis

• Importance of windowing in signal processing

Chapter 2: Window Functions: Theory and Types

• Definition of window functions

• Properties of window functions

• Common types of window functions: Rectangular, Hamming, Hanning, Blackman-Harris, etc.

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Chapter 3: Time-Domain Properties of Window Functions

• Effects of windowing on signal in the time domain

• Trade-offs between time and frequency resolution

• Impact of windowing on signal duration and energy

Chapter 4: Frequency-Domain Properties of Window Functions

• Analysis of window functions in the frequency domain

• Spectral leakage and its mitigation

• Spectral resolution and side lobes

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Chapter 5: Optimal Window Functions for Signal Processing

• Criteria for selecting optimal window functions

• Trade-offs between various types of windows (e.g., main lobe width vs. side lobe attenuation)

• Guidelines for choosing the right window for different applications

Chapter 6: Applications of Window Functions in Filtering

• Use of window functions in filter design (FIR filters)

• Windowing techniques for frequency-domain filtering

• Practical examples of windowed filter design

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Chapter 7: Window Functions in Spectral Estimation

• Use of window functions in power spectral density estimation

• Spectral estimation techniques: periodogram, Welch’s method

• Case studies on improving spectral estimates with windowing

Chapter 8: Window Functions in Signal Denoising and Enhancement

• Windowing for noise reduction in signals

• Adaptive windowing techniques in signal enhancement

• Applications in speech, audio, and image processing

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Chapter 9: Advanced Topics in Window Functions

• Non-rectangular windowing techniques (e.g., raised cosine, Kaiser-Bessel window)

• Window functions for time-frequency analysis

• Multidimensional windowing techniques for image and video processing

Chapter 10: Practical Considerations and Computational Aspects

• Efficient computation of window functions

• Real-time signal processing with windowing

• Software tools and libraries for applying window functions

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Appendices

• A. Mathematical Formulas and Definitions

• B. List of Common Window Functions

• C. Further Reading and References

• D. Index

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