Digital Signal Processing: Illustration Using Python

Preface
	Motivation
	Target Audience
	Salient Features of the Book
Organization of the Book
Acknowledgments
Contents
About the Authors
Chapter 1: Generation of Continuous-Time Signals
	1.1 Continuous-Time Signal
		1.1.1 Continuous-Time Periodic Signal
		1.1.2 Exponential Function
	1.2 Non-stationary Signal
	1.3 Non-sinusoidal Waveform
		1.3.1 Square Waveform
		1.3.2 Triangle and Sawtooth Waveform
		1.3.3 Sinc Function
		1.3.4 Pulse Signal
		1.3.5 Gaussian Function
	Bibliography
Chapter 2: Sampling and Quantization of Signals
	2.1 Sampling of Signal
		2.1.1 Violation of Sampling Theorem
		2.1.2 Quantization of Signal
			2.1.2.1 Mid-Tread Quantizer
		2.1.3 Mid-Rise Quantizer
	2.2 Non-uniform Quantization
	2.3 Signal Reconstruction
		2.3.1 Zero-Order Hold Interpolation
		2.3.2 First-Order Hold Interpolation
		2.3.3 Ideal or Sinc Interpolation
	Bibliography
Chapter 3: Generation and Operation on Discrete-Time Sequence
	3.1 Generation of Discrete-Time Signals
	3.2 Mathematical Operation on Discrete-Time Signals
		3.2.1 Amplitude Modification on DT Signal
			3.2.1.1 Time Scaling Operation
			3.2.1.2 Time Shifting Operation
			3.2.1.3 Time Reversal Operation
	3.3 Convolution
	3.4 Correlation
	Bibliography
Chapter 4: Discrete-Time Systems
	4.1 Discrete-Time System
	4.2 Representation of DT Systems
		4.2.1 Difference Equation Representation of Discrete-Time Linear Time-Invariant System
		4.2.2 State-Space Model of a Discrete-Time System
			4.2.2.1 State-Space to Transfer Function
		4.2.3 Impulse Response and Step Response of Discrete-Time System
		4.2.4 Pole-Zero Plot of Discrete-Time System
	4.3 Responses of Discrete-Time System
	4.4 Different Representations and Response of Unit Delay Discrete-Time System
	4.5 Properties of Discrete-Time System
		4.5.1 Linearity Property
		4.5.2 Time-Invariant and Time-Variant System
		4.5.3 Causal and Non-causal System
		4.5.4 Stability of Discrete-Time System
		4.5.5 Invertibility of Discrete-Time System
	Bibliography
Chapter 5: Transforms
	5.1 Introduction to Transform
	5.2 Z-Transform
		5.2.1 Z-Transform of Standard Test Sequences
	5.3 Inverse Z-Transform
	5.4 Family of Fourier Series and Transforms
		5.4.1 Continuous-Time Fourier Transform (CTFT)
		5.4.2 Fourier Transform of Standard Test Signals
		5.4.3 Discrete-Time Fourier Transform (DTFT)
		5.4.4 Analysis of Discrete-Time LTI System Using DTFT
		5.4.5 Discrete Fourier Transform
		5.4.6 Properties of DFT
		5.4.7 Limitations of Fourier Transform
	5.5 Discrete Cosine Transform (DCT)
	5.6 Short-Time Fourier Transform
		5.6.1 Shortcoming of STFT
	5.7 Continuous Wavelet Transform (CWT)
		5.7.1 Continuous Wavelets Family
		5.7.2 Drawback of CWT
	5.8 Discrete Wavelet Transform
	Bibliography
Chapter 6: Filter Design Using Pole-Zero Placement Method
	6.1 First-Order IIR Filter
	6.2 Moving Average filter
	6.3 M-Point Exponentially Weighted Moving Average Filter (EWMA)
	6.4 Digital Resonator
	6.5 Notch Filter
	6.6 All-Pass Filter
	6.7 Comb Filter
		6.7.1 Location of Poles and Zeros of Comb Filter
	Bibliography
Chapter 7: FIR Filter Design
	7.1 FIR Filter
	7.2 Classification of FIR Filter
	7.3 Design of FIR Filter
		7.3.1 Steps in Window-Based FIR Filter Design
		7.3.2 Window-Based FIR Lowpass Filter
		7.3.3 Window-Based FIR Highpass Filter
		7.3.4 Window-Based FIR Bandpass Filter
		7.3.5 Window-Based FIR Band Reject Filter
		7.3.6 Design of FIR Filter Using Built-In Function
		7.3.7 Window Functions
	7.4 Frequency Sampling-Based FIR Filter Design
	7.5 Design of Optimal FIR filter
	7.6 Applications of FIR Filter
	Bibliography
Chapter 8: Infinite Impulse Response Filter
	8.1 IIR Filter
	8.2 Mapping Techniques in the Design of IIR Filter
		8.2.1 Backward Difference Method
		8.2.2 Impulse Invariant Technique
		8.2.3 Bilinear Transformation Technique (BLT)
		8.2.4 Matched Z-Transform Technique
	8.3 Analog Frequency Transformation
	8.4 Butterworth Filter
	8.5 Chebyshev Filter
	8.6 Chebyshev Type II IIR Filter
	8.7 Elliptic Filter
	Bibliography
Chapter 9: Quantization Effect of Digital Filter Coefficients
	9.1 Number Representation
	9.2 Fixed-Point Quantization
		9.2.1 Fixed-Point Quantization by Rounding
		9.2.2 Fixed-Point Quantization Using Two´s Complement Truncation
		9.2.3 Fixed-Point Quantization Using Magnitude Truncation
	9.3 Coefficient Quantization
	9.4 Limit Cycle Oscillations
	9.5 Cascade Form of a Higher Order Filters
	Bibliography
Chapter 10: Multirate Signal Processing
	10.1 Multirate Operators
		10.1.1 Downsampling Operation
		10.1.2 Upsampling Operation
	10.2 Noble Identity
		10.2.1 Noble Identity for Downsampling Operation
		10.2.2 Noble Identity for Upsampling Operation
	10.3 Polyphase Decomposition
	10.4 Filter Bank
		10.4.1 Two-Channel Filter Bank
		10.4.2 Relationship Between Analysis and Synthesis Filters
		10.4.3 Two-Channel Filter Bank Without Filters
		10.4.4 Three-Channel Filter Bank Without Filters
	10.5 Tree-Structured Filter Bank
	10.6 Transmultiplexer
	Bibliography
Chapter 11: Adaptive Signal Processing
	11.1 Wiener Filter
		11.1.1 Wiener Filter in Frequency Domain
	11.2 Adaptive Filter
		11.2.1 LMS Adaptive Filter
		11.2.2 Normalized LMS Algorithm
		11.2.3 Sign LMS Algorithm
	11.3 RLS Algorithm
	Bibliography
Chapter 12: Case Study
	12.1 Case Study 1: Speech Recognition Using MFCC (Mel-Frequency Cepstral Coefficient)
		12.1.1 Speaker Identification
		12.1.2 Speaker Verification System
		12.1.3 Mel-Frequency Cepstral Coefficient (MFCC) Feature
			12.1.3.1 Pre-emphasis
			12.1.3.2 Sampling and Windowing
			12.1.3.3 Discrete Fourier Transform (DFT)
			12.1.3.4 Mel-Frequency Bandpass Filter
			12.1.3.5 Log Operation
			12.1.3.6 Discrete Cosine Transform (DCT)
	12.2 Case Study 2: QRS Detection in ECG Signal Using Pan-Tomkins Algorithm
		12.2.1 ECG Signal Preprocessing
			12.2.1.1 Bandpass filter
			12.2.1.2 Derivative Process
			12.2.1.3 Squaring Operation
		12.2.2 Moving Window Integration
		12.2.3 Fiducial Mark
		12.2.4 Decision Rule Approach
	12.3 Case Study 3: Power Quality Disturbance Detection
		12.3.1 Generation of Power Quality Disturbance
		12.3.2 Simulation of Power Quality Disturbance
		12.3.3 Time-Frequency Representation of Power Quality Disturbance
		12.3.4 Time-Scale Representation of Power Quality Disturbance
	Bibliography
Appendix
	Chapter 1: Generation Of Continuous-Time Signals
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 2: Sampling and Quantization of Signals
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 3: Generation and Operation on Discrete-Time Sequence
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 4: Discrete-Time Systems
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 5: Transforms
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 6: Filter Design Using Pole-Zero Placement Method
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 7: FIR Filter Design
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 8: Infinite Impulse Response Filter
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 9: Quantization Effect of Digital Filter Coefficients
		Answers to PreLab Questions
		Answer to Objective Questions
	Chapter 10: Multirate Signal Processing
		Answers to PreLab Questions
		Answers to Objective Questions
	Chapter 11: Adaptive Signal Processing
		Answers to PreLab Questions
		Answers to Objective Questions
Index