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Understanding Digital Signal Processing with MATLAB® and Solutions
"The book discusses receiving signals that most electrical engineers detect and study. The vast majority of signals could never be detected due to random additive signals, known as noise, that distorts them or completely overshadows them. Such examples include an audio signal of the pilot communicating with the ground over the engine noise or a bioengineer listening for a fetus' heartbeat over the mother's. The text presents the methods for extracting the desired signals from the noise. Each new development includes examples and exercises that use MATLAB to provide the answer in graphic forms for the reader's comprehension and understanding."--Provided by publisher.
Half Title; Title Page; Copyright Page; Table of Contents; Abbreviations; Author; Chapter 1 Continuous and Discrete Signals; 1.1 Continuous Deterministic Signals; Periodic Signals; Non-Periodic Continuous Signals; Unit Step Functions; Ramp Function; Rectangular Function; Triangular Pulse Function; Signum Function; Sinc Function; Gaussian Function; Error Function; Exponential and Double Exponential Functions; Type of Signalsâ#x80;#x94;Even, Odd, Energy and Power; 1.2 Sampling of Continuous Signals-Discrete Signals; Table 1.1: Some Useful Functions in Analog and Discrete Forms.
Approximation of the Derivative and IntegralImpulse (delta) Function; Table 1.2: Basic Delta Function Properties; The Comb Function; 1.3 Signal Conditioning and Manipulation; Modulation; Shifting and Flipping; Time Scaling; Windowing of Signals; Table 1.3: Windows for Continuous Signal Processing; 1.4 Convolution of Analog and Discrete Signals; Analog Signals; Discrete Signals; Table 1.4: Basic Convolution Properties; 1.5 MATLAB Use for Vectors and Arrays (Matrices); Examples of Array Operations; Hintsâ#x80;#x93;Suggestionsâ#x80;#x93;Solutions of the Exercises.
Chapter 2 Fourier Analysis of Continuous and Discrete Signals2.1 Introduction; 2.2 Fourier Transform (FT) of Deterministic Signals; 2.3 Sampling of Signals; 2.4 Discrete-Time Fourier Transform (DTFT); 2.5 DTFT of Finite-Time Sequences; Windowing; 2.6 The Discrete Fourier Transform (DFT); The Inverse DFT (IDFT); 2.7 Properties of DFT; Linearity; Symmetry; Time Shifting; Frequency Shifting; Time Convolution; Frequency Convolution; Parsevalâ#x80;#x99;s Theorem; 2.8 Effect of Sampling Time T; 2.9 Effect of Truncation; Windowing; 2.10 Resolution; 2.11 Discrete Systems.
2.12 Digital Simulation of Analog Systems2.12.1 Second-Order Differential Equations; Hintsâ#x80;#x93;Suggestionsâ#x80;#x93;Solutions of the Exercises; Appendix 2.1: Fourier Transform Properties; Appendix 2.2: Fourier Transform Pairs; Appendix 2.3: DTFT Properties; Appendix 2.4: DFT Properties; Chapter 3 The z-Transform, Difference Equations, and Discrete Systems; 3.1 The z-Transform; 3.2 Properties of the z-Transform; Table 3.1: Summary of z-Transform Properties; 3.3 Inverse z-Transform; Table 3.2: Common z-Transform Pairs; 3.4 Transfer Function; Higher-Order Transfer Functions.
3.5 Frequency Response of Discrete Systems3.6 z-Transform Solution of Difference Equations; Hintsâ#x80;#x93;Suggestionsâ#x80;#x93;Solutions of the Exercises; Chapter 4 Finite Impulse Response (FIR) Digital Filter Design; 4.1 Introduction; 4.2 Finite Impulse Response (FIR) Filters; Discrete Fourier-Series Method; Commonly Used Windows; Discrete Fourier Transform Method; High-Pass Filter; Table 4.1: Frequency Transformations; Hintsâ#x80;#x93;Suggestionsâ#x80;#x93;Solutions of the Exercises; Appendix 4.1: Window Characteristics and Performance; Chapter 5 Random Variables, Sequences, and Probability Functions.
Includes bibliographical references and index.
Mathematics and Statistics for Engineers