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Window Functions and Their Applications in Signal Processing.

Bibliographic Details
Main Author: Prabhu, K. M. M.
Format: eBook
Language:English
Published: Milton : Taylor & Francis Group, 2013.
Edition:1st ed.
Subjects:
Electronic books.
Online Access:Click to View
Table of Contents:
  • Cover
  • Half Title
  • Title Page
  • Copyright Page
  • Dedication
  • Table of Contents
  • Foreword
  • Preface
  • Acknowledgments
  • Abbreviations
  • 1. Fourier Analysis Techniques for Signal Processing
  • 1.1 Review of Basic Signals and Systems
  • 1.1.1 Basic Continuous-Time Signals
  • 1.1.2 Basic Discrete-Time Signals
  • 1.1.3 System and Its Properties
  • 1.1.4 LTI Systems
  • 1.2 Continuous-Time Fourier Transform
  • 1.2.1 Properties of the CTFT
  • 1.2.2 Examples of CTFT
  • 1.3 Discrete-Time Fourier Transform
  • 1.3.1 Properties of DTFT
  • 1.3.2 Examples of DTFT
  • 1.4 Z-Transform
  • 1.4.1 Examples of z-Transform
  • 1.5 Discrete Fourier Transform
  • 1.5.1 Properties of the DFT
  • 1.5.2 Examples of DFT
  • 1.6 Fast Fourier Transform
  • 1.6.1 Decimation-in-Time FFT (DIT-FFT)
  • 1.6.1.1 Computational Savings
  • 1.6.1.2 In-Place Computation
  • 1.6.2 Decimation-in-Frequency FFT (DIF-FFT)
  • 1.6.3 Inverse DFT from FFT
  • 1.6.4 Linear Convolution Using DIT-FFT and DIF-FFT
  • References
  • 2. Pitfalls in the Computation of DFT
  • 2.1 Sampling, Reconstruction, and Aliasing
  • 2.1.1 WKS Sampling Theorem
  • 2.1.2 Reconstruction of Continuous-Time Signals from Discrete-Time Samples
  • 2.2 Frequency Leakage Effect
  • 2.2.1 Zero Leakage Case
  • 2.2.2 Maximum Leakage Case
  • 2.3 DFT as a Filter Bank
  • 2.4 Picket-Fence Effect or Scalloping Loss
  • 2.5 Zero-Padding and Frequency Resolution
  • 2.5.1 Zero-Padding
  • 2.5.2 Frequency Resolution
  • References
  • 3. Review of Window Functions
  • 3.1 Introduction
  • 3.2 Characteristics of a Window Function
  • 3.3 List of Windows
  • 3.3.1 Rectangular (Box Car) Window
  • 3.3.2 Triangular (Bartlett) Window
  • 3.3.3 Cos(x) Window
  • 3.3.4 Hann (Raised-Cosine) Window
  • 3.3.5 Truncated Taylor Family
  • 3.3.6 Hamming Window
  • 3.3.7 Cos3(x) Window
  • 3.3.8 Sum-Cosine Window
  • 3.3.9 Cos4(x) Window.
  • 3.3.10 Raised-Cosine Family
  • 3.3.11 Blackman Window
  • 3.3.12 Optimized Blackman Window
  • 3.3.13 Blackman-Harris Window
  • 3.3.14 Parabolic Window
  • 3.3.15 Papoulis Window
  • 3.3.16 Tukey Window
  • 3.3.17 Parzen (Jackson) Window
  • 3.3.18 Dolph-Chebyshev Window
  • 3.3.19 Kaiser's Modified Zeroth-Order Bessel Window Function Family
  • 3.3.20 Kaiser's Modified First-Order Bessel Window Function Family
  • 3.4 Rate of Fall-Off Side-Lobe Level
  • 3.4.1 Theorem
  • 3.4.2 Side-Lobe Fall-Off Rate in the Time-Domain
  • 3.5 Comparison of Windows
  • References
  • 4. Performance Comparison of Data Windows
  • 4.1 Definition of Window Parameters
  • 4.2 Computation of Window Parameters
  • 4.3 Discussion on Window Selection
  • References
  • 5. Discrete-TimeWindows and Their Figures of Merit
  • 5.1 Different Classes of Windows
  • 5.2 Discrete-Time Windows
  • 5.2.1 Rectangular (Box Car) Window
  • 5.2.2 Triangular (Bartlett) Window
  • 5.2.3 Cosαx Window Family
  • 5.2.4 Hann Window
  • 5.2.5 Truncated Taylor Family of Windows
  • 5.2.6 Hamming Window
  • 5.2.7 Sum-Cosine Window
  • 5.2.8 Raised-Cosine Window Family
  • 5.2.9 Blackman Window
  • 5.2.10 Optimized Blackman Window
  • 5.2.11 Tukey Window
  • 5.2.12 Blackman-Harris Window
  • 5.2.13 Nuttall Window Family
  • 5.2.14 Flat-Top Window
  • 5.2.15 Parabolic Window
  • 5.2.16 Riemann Window
  • 5.2.17 Poisson Window
  • 5.2.18 Gaussian Window
  • 5.2.19 Cauchy Window
  • 5.2.20 Hann-Poisson Window
  • 5.2.21 Papoulis (Bohman) Window
  • 5.2.22 Jackson (Parzen) Window
  • 5.2.23 Dolph-Chebyshev Window
  • 5.2.24 Modified Zeroth-Order Kaiser-Bessel Window Family
  • 5.2.25 Modified First-Order Kaiser-Bessel Window Family
  • 5.2.26 Saramäki Window Family
  • 5.2.27 Ultraspherical Window
  • 5.2.28 Odd and Even-Length Windows
  • 5.3 Figures of Merit
  • 5.4 Time-Bandwidth Product
  • 5.5 Applications of Windows.
  • 5.5.1 FIR Filter Design Using Windows
  • 5.5.2 Spectral Analysis
  • 5.5.3 Window Selection for Spectral Analysis
  • References
  • 6. Time-Domain and Frequency-Domain Implementations of Windows
  • 6.1 Time-Domain Implementation
  • 6.2 A Programmable Windowing Technique
  • 6.3 Computational Error in Time and Frequency-Domains
  • 6.4 Canonic Signed Digit Windowing
  • 6.4.1 Window 1
  • 6.4.2 Window 2
  • 6.4.3 Window 3
  • 6.4.4 Window 4
  • 6.4.5 Window 5
  • 6.4.6 Window 6
  • 6.4.7 Window 7
  • 6.4.8 Window 8
  • 6.4.9 Window 9
  • 6.4.10 Window 10
  • 6.4.11 Window 11
  • 6.4.12 Window 12
  • 6.4.13 Window 13
  • 6.4.14 Window 14
  • 6.5 Modified Zeroth-Order Kaiser-Bessel Window Family
  • 6.6 Summary
  • References
  • 7. FIR Filter Design Using Windows
  • 7.1 Ideal Filters
  • 7.1.1 Lowpass Filter
  • 7.1.2 Highpass Filter
  • 7.1.3 Bandpass Filter
  • 7.1.4 Bandstop Filter
  • 7.2 Linear Time Invariant Systems
  • 7.3 FIR Filters
  • 7.3.1 Advantages of FIR Filters
  • 7.4 IIR Filters
  • 7.4.1 Properties of IIR Filters
  • 7.5 Structure of an FIR Filter
  • 7.5.1 Filter Specifications
  • 7.6 FIR Filter Design
  • 7.6.1 Linear-Phase Filters
  • 7.6.2 Types of FIR Filters
  • 7.6.3 Frequency Response of Type 1 FIR Filter
  • 7.6.4 Design Procedure for Filters
  • 7.7 Kaiser-Bessel Windows for FIR Filter Design
  • 7.7.1 Filter Design Using Kaiser-Bessel Zeroth-Order (I0-Sinh) Window
  • 7.7.2 Filter Design Using Kaiser-Bessel First-Order (I1-Cosh) Window
  • 7.8 Design of Differentiator by Impulse Response Truncation
  • 7.9 Design of Hilbert Transformer Using Impulse Response Truncation
  • References
  • 8. Application of Windows in Spectral Analysis
  • 8.1 Nonparametric Methods
  • 8.1.1 Periodogram PSD Estimator
  • 8.1.2 Modified Periodogram PSD Estimator
  • 8.1.3 Spectral Analysis Using Kaiser-Bessel Window
  • 8.1.4 Bartlett Periodogram
  • 8.1.5 Welch Periodogram Method.
  • 8.1.6 Blackman-Tukey Method
  • 8.1.7 Daniel Periodogram
  • 8.1.8 Application of the FFT to the Computation of a Periodogram
  • 8.1.9 Short-Time Fourier Transform
  • 8.1.10 Conclusions
  • References
  • 9. Applications of Windows
  • 9.1 Windows in High Range Resolution Radars
  • 9.1.1 HRR Target Profiling
  • 9.1.2 Simulation Results
  • 9.2 Effect of Range Side Lobe Reduction on SNR
  • 9.2.1 Introduction
  • 9.2.2 Loss Factor
  • 9.2.3 Weighting Function
  • 9.2.4 Results and Discussions
  • 9.3 Window Functions in Stretch Processing
  • 9.4 Application of Window Functions in Biomedical Signal Processing
  • 9.4.1 Biomedical Signal Processing
  • 9.4.2 FIR Filtering of Biomedical Signals
  • 9.4.3 Moving Average Filtering of Biomedical Signals
  • 9.4.4 QRS Detection in ECG Based on STFT
  • 9.5 Audio Denoising Using the Time-Frequency Plane
  • 9.5.1 Time-Frequency Plane
  • 9.5.2 Audio Denoising Using Time-Frequency Plane
  • 9.5.3 Block Thresholding
  • 9.5.4 Effect of Windows
  • 9.6 Effect of Windows on Linear Prediction of Speech
  • 9.6.1 Linear Prediction Coder
  • 9.6.2 Line Spectral Frequencies
  • 9.6.3 LSF Variation due to Windows
  • 9.7 Application of Windows in Image Processing
  • 9.7.1 Windows for ISAR Images
  • 9.7.2 Experimental Analysis
  • 9.7.3 Results and Conclusions
  • 9.8 Windows to Improve Contrast Ratio in Imaging Systems
  • 9.8.1 Experimental Analysis
  • 9.8.2 Results and Conclusions
  • References
  • Index.

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