Linked e-resources
Details
Table of Contents
Acknowledgements; Contents; 1 Sampling and Reconstruction of Signals ; 1.1 Sampling of Sinusoidal Signal; 1.2 Fourier Series (FS); 1.2.1 Dirichlet Conditions; 1.3 Fourier Transformation (FT); 1.4 Discrete Time Fourier Transformation (DTFT) and Sampling Theorem; 1.5 Discrete Fourier Transformation (DFT) (Sampling the Frequency Domain); 1.5.1 Vector Space Interpretation of DFT; 1.5.2 Fast Fourier Transformation; 1.5.3 Sub-band Discrete Fourier Transformation; 1.6 Continous System; 1.7 Laplace Transformation (s-Transformation)
1.7.1 Properties of the ROC of the Laplace Transformation for the Right Sided Sequence1.7.2 Inverse Laplace Transformation; 1.8 Geometrical Interpretation of Computation of Magnitude Response of the Filter Using Pole-Zero Plot of s-Transformation; 1.9 Discrete System; 1.10 Z-Transformation; 1.10.1 Properties of the ROC of the Z-Transformation for the Right-Sided Sequence; 1.10.2 Inverse Z-Transformation; 1.11 Response of the Digital Filter with the Typical Transfer Function#x83;; 1.12 Geometrical Interpretation of Computation of Magnitude #x83;; 2 Infinite Impulse Response (IIR) Filter
2.1 Impulse-Invariant Mapping2.2 Bilinear Transformation Mapping; 2.2.1 Frequency Pre-warping; 2.2.2 Design of Digital IIR Filter using Butterworth Analog Filter and Impulse-Invariant Transformation; 2.2.3 Design of Digital IIR Filter using Butterworth Analog Filter and Bilinear Transformation; 2.2.4 Design of Digital IIR Filter Using Chebyshev Analog Filter and Impulse-Invariant Transformation; 2.2.5 Design of Digital IIR Filter Using Chebyshev Analog Filter and Bilinear Transformation; 2.2.6 Comments on Fig. 2.7 and Fig. 2.8; 2.2.7 Design of High-Pass, Bandpass, and Band-Reject IIR Filter
2.3 Realization2.3.1 Direct Form 1; 2.3.2 Direct Form 2; 2.3.3 Illustration; 3 Finite Impulse Response Filter (FIR Filter); 3.1 Demonstration of Four Types of FIR Filter; 3.2 Design of Linear Phase FIR Filter-Windowing Technique; 3.2.1 Design of Low-Pass Filter; 3.2.2 Design of High-Pass Filter; 3.2.3 Design of Band Pass and Band Reject Filter; 3.2.4 Windows Used to Circumvent Ripples in the Magnitude Response; 3.3 FIR Filters that Have Identical Magnitude Response; 4 Multirate Digital Signal Processing; 4.1 Sampling Rate Conversion by the Factor MN; 4.1.1 Upsampling (with N=1)
4.1.2 Downsampling (with M=1)4.1.3 Comments on the Fig.4.1; 4.2 Poly-phase Realization of the Filter for Interpolation; 4.3 Poly-phase Realization of the Filter for Decimation; 4.4 Quadrature Mirror Filter; 4.5 Transmultiplexer; 5 Statistical Signal Processing; 5.1 Introduction to Random Process; 5.1.1 Illustration on W.S.S.R.P and Nonstationary Random Process; 5.2 Auto Regressive (AR), Moving average (MA) #x83;; 5.2.1 Linear Prediction Model; 5.3 Adaptive Filter; 5.3.1 System Model; 5.3.2 Filtering Noise; 5.4 Spectral Estimation; 5.4.1 Eigen Decomposition Method for Spectral Estimation
1.7.1 Properties of the ROC of the Laplace Transformation for the Right Sided Sequence1.7.2 Inverse Laplace Transformation; 1.8 Geometrical Interpretation of Computation of Magnitude Response of the Filter Using Pole-Zero Plot of s-Transformation; 1.9 Discrete System; 1.10 Z-Transformation; 1.10.1 Properties of the ROC of the Z-Transformation for the Right-Sided Sequence; 1.10.2 Inverse Z-Transformation; 1.11 Response of the Digital Filter with the Typical Transfer Function#x83;; 1.12 Geometrical Interpretation of Computation of Magnitude #x83;; 2 Infinite Impulse Response (IIR) Filter
2.1 Impulse-Invariant Mapping2.2 Bilinear Transformation Mapping; 2.2.1 Frequency Pre-warping; 2.2.2 Design of Digital IIR Filter using Butterworth Analog Filter and Impulse-Invariant Transformation; 2.2.3 Design of Digital IIR Filter using Butterworth Analog Filter and Bilinear Transformation; 2.2.4 Design of Digital IIR Filter Using Chebyshev Analog Filter and Impulse-Invariant Transformation; 2.2.5 Design of Digital IIR Filter Using Chebyshev Analog Filter and Bilinear Transformation; 2.2.6 Comments on Fig. 2.7 and Fig. 2.8; 2.2.7 Design of High-Pass, Bandpass, and Band-Reject IIR Filter
2.3 Realization2.3.1 Direct Form 1; 2.3.2 Direct Form 2; 2.3.3 Illustration; 3 Finite Impulse Response Filter (FIR Filter); 3.1 Demonstration of Four Types of FIR Filter; 3.2 Design of Linear Phase FIR Filter-Windowing Technique; 3.2.1 Design of Low-Pass Filter; 3.2.2 Design of High-Pass Filter; 3.2.3 Design of Band Pass and Band Reject Filter; 3.2.4 Windows Used to Circumvent Ripples in the Magnitude Response; 3.3 FIR Filters that Have Identical Magnitude Response; 4 Multirate Digital Signal Processing; 4.1 Sampling Rate Conversion by the Factor MN; 4.1.1 Upsampling (with N=1)
4.1.2 Downsampling (with M=1)4.1.3 Comments on the Fig.4.1; 4.2 Poly-phase Realization of the Filter for Interpolation; 4.3 Poly-phase Realization of the Filter for Decimation; 4.4 Quadrature Mirror Filter; 4.5 Transmultiplexer; 5 Statistical Signal Processing; 5.1 Introduction to Random Process; 5.1.1 Illustration on W.S.S.R.P and Nonstationary Random Process; 5.2 Auto Regressive (AR), Moving average (MA) #x83;; 5.2.1 Linear Prediction Model; 5.3 Adaptive Filter; 5.3.1 System Model; 5.3.2 Filtering Noise; 5.4 Spectral Estimation; 5.4.1 Eigen Decomposition Method for Spectral Estimation