It is well-established that the window functions play a vital role in digital signal processing. Sometimes, it becomes critical in selecting the right window for a given application. Major applications areas include digital spectral analysis, design of FIR filters, pulse compression radar, and speech signal processing. This book provides complete information on the discrete time window functions used in digital signal processing. It also gives cues on how to choose a window function for particular applications. Topics covered include spectral analysis, use of windows in digital filtering, application of windows in radar, and ringing artifacts applications of the Short Time Fourier Transform (STFT) in speech processing.
Introduction
Fourier Transforms
Continuous-time Fourier transform (CTFT) and its properties
Discrete-time Fourier transform (DTFT) and its properties
Discrete Fourier transform (DFT) and its properties
Introduction to Fast Fourier transform (FFT)
Need for Window Functions in DSP
DFT as a bank of band-pass filters
Pitfalls in using the DFT
Continuous-Time Window Functions
Introduction
Characteristics of window functions
Catalog of window functions
Comparison of window functions
Performance Comparison of Window Functions
Definition of window parameters
Computation of window parameters
Statistical analysis of windows
Discussion on window selection process
Discrete-Time Window Functions
Discrete-time version of window functions
Different families of windows
Time and frequency-domain implementations of windows
Computational error performance of time and frequency-domain implementations
Window Functions in Digital Spectral Analysis
Fir Filter Design Using Windows
Applications of Windows in Radar and Sonar
Applications of Windows in Speech and Audio
Applications of Windows in Communications
Applications of Windows in Biomedical Signal Processing
Applications of Windows in Image Processing
Applications of Windows in Electromagnetics and Antenna Design
Conclusions
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).