Window Functions and Their Applications in Signal Processing

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

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).

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