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Ambardar's proven text teaches the basic principles and applications of signals, systems, transforms and filters, using both a visual and mathematical approach. This book helps readers develop a thorough understanding of time-domain and frequency-domain relationships, encouraging them to think clearly in both domains and switch easily from one to the other. Bound into each text is a disk with a set of powerful software routines running under MATLAB® that can be used for reinforcing and visualizing concepts as well as for problem solving and advanced design. The extensively revised and reorganized Second Edition incorporates new practical applications and design-oriented examples in every chapter.
- Extensive new illustrations and examples help students understand concepts visually as well as mathematically.
- New Review Panels summarize and reinforce key concepts in each chapter.
- New practical applications (dealing with digital audio effects, echo cancellation, spectrum estimation, DTMF signaling, and other topics) and design-oriented examples appear in each chapter.
- A new chapter provides a do-it-yourself guide to MATLAB®, with practical examples and accompanying explanations of MATLAB® code.
- A set of new menu-driven GUIs with point-and-click features is now supplied for ease of use in visualizing basic signal processing principles and concepts.
- Bound-in disk contains a toolbox of powerful MATLAB® routines for signal processing and system analysis. The software runs under all versions of MATLAB® (professional and student).
- A careful, complete treatment of convolution is given in Chapters 6 and 7. The bound-in disk contains a MATLAB®-based GUIs that animate both continuous and discrete convolution.
- Expanded end-of-chapter problems are organized into three sections: drill/reinforcement; review/extension; and computation/design.
Introduction / Signals / Systems / The Frequency Domain / From Concept to Application
2. ANALOG SIGNALS
Scope and Objectives / Signals / Operations on Signals / Signal Symmetry / Harmonic Signals and Sinusoids / Signal Symmetry / Harmonic Signals and Sinusoids / Commonly Encountered Signals / The Impulse Function / The Doublet / Moments / Problems
3. DISCRETE SIGNALS
Scope and Objectives / Discrete Signals / Operations on Discrete Signals / Decimation and Interpolation / Common Discrete Signals / Discrete-Time Harmonics and Sinusoids / Aliasing and the Sampling Theorem / Random Signals / Problems
4. ANALOG SYSTEMS
Scope and Objectives / Introduction / System Classification / Analysis of LTI Systems / LTI Systems Described by Differential Equations / The Impulse Response of LTI Systems / System Stability / Application-Oriented Examples / Problems
5. DISCRETE-TIME SYSTEMS
Scope and Objectives / Discrete-Time Operators / System Classification / Digital Filters / Digital Filters Described by Difference Equations / Impulse Response of Digital Filters / Stability of Discrete-Time LTI Systems / Connections: System Representation in Various Forms / Application-Oriented Examples / Problems
6. CONTINUOUS CONVOLUTION
Scope and Objectives / Introduction / Convolution of Some Common Signals / Some Properties of Convolution / Convolution by Ranges (Graphical Convolution) / Stability and Causality / The Response to Periodic Inputs / Periodic Convolution / Connections: Convolution and Transform Methods / Convolution Properties Based on Moments / Correlations / Problems
7. DISCRETE CONVOLUTION
Scope and Objectives / Discrete Convolution / Convolution Properties / Convolution of Finite Sequences / Stability and Causality of LTI Systems / System Response to Periodic Inputs / Periodic Convolution / Connections: Discrete Convolution and Transform Methods / Deconvolution / Discrete Correlation / Problems
8. FOURIER SERIES
Scope and Objectives / Fourier Series: A First Look / Simplifications Through Signal Symmetry / Parseval''s Relation and the Power in Periodic Signals / The Spectrum of Periodic Signals / Properties of Fourier Series / Signal Reconstruction and the Gibbs Effect / System Response to Periodic Inputs / Application-Oriented Examples / The Dirichlet Kernel and the Gibbs Effect / The Fourier Series, Orthogonality, and Least Squares / Existence, Convergence, and Uniqueness / A Historical Perspective / Problems
9. THE FOURIER TRANSFORM
Scope and Objectives / Introduction / Fourier Transform Pairs and Properties / System Analysis Using the Fourier Transform / Frequency Response of Filters / Energy and Power Spectral Density / Time-Bandwidth Measures / Problems
Scope and Objectives / Amplitude Modulation / Single-Sideband AM / Angle Modulation / Wideband Angle Modulation / Demodulation of FM Signals / The Hilbert Transform / Problems
11. THE LAPLACE TRANSFORM
Scope and Objectives / The Laplace Transform / Properties of the Laplace Transform / Poles and Zeros of the Transfer Function / The Inverse Laplace Transform / The s-plane and BIBO Stability / The Laplace Transform and System Analysis / Connections / Problems
12. APPLICATIONS OF THE LAPLACE TRANSFORM
Scope and Objectives / Frequency Response / Minimum-Phase Filters / Bode Plots / Performance Measures / Feedback / Application of Feedback: The Phase-Locked Loop Problems
13. ANALOG FILTERS
Scope and Objectives / Introduction / The Design Process / The Butterworth Filter / The Chebyshev Approximation / The Inverse Chebyshev Approximation / The Elliptic Approximation / The Bessel Approximation / Problems
14. SAMPLING AND QUANTIZATION
Scope and Objectives / Ideal Sampling / Sampling, Interpolation, and Signal Recovery / Quantization / Digital Processing of Analog Signals / Compact Disc Digital Audio / Dynamic Range Processors / Problems
15. THE DISCRETE-TIME FOURIER TRANSFORM
Scope and Objectives / The Discrete-Time Fourier Transform / Connections: The DTFT and the Fourier Transform / Properties of the DTFT / The Transfer Functions / System Analysis Using the DTFT / Connections / Ideal Filters / Some Traditional and Non-traditional Filters / Frequency Response of Discrete Algorithms / Oversampling and Sampling Rate Conversion / Problems
16. THE DFT AND FFT
Scope and Objectives / Introduction / Properties of the DFT / Connections / Approximating the DTFT by the DFT / The DFT of Periodic Signals / Spectral Smoothing by Time Windows / Applications in Signal Processing / Spectrum Estimation / Matrix Formulation of the DFT and IDFT / The FFT / Why Equal Lengths for the DFT and IDFT? / Problems
17. THE Z-TRANSFORM
Scope and Objectives / The Two-Sided z-Transform / Properties of the z-Transform / Poles, Zeros, and the z-Plane / The Transfer Function / The Inverse z-Transform / The One-Sided z-Transform / The z-Transform and System Analysis / Frequency Response / Connections / Problems
18. APPLICATIONS OF THE Z-TRANSFORM
Scope and Objectives / Transfer Function Realization / Interconnected Systems / Minimum-Phase Systems / The Frequency Response: A Graphical Interpretation / Application-Oriented Examples / Allpass Filters / Application-Oriented Examples: Digital Audio Effects / Problems
19. IIR DIGITAL FILTERS
Scope and Objectives / Introduction / IIR Filter Design / Response and Matching / The Matched z-Transform for Factored Forms / Mappings from Discrete Algorithms / The Bilinear Transformation / Spectral Transformations for IIR Filters / Design Recipe for IIR Filters / Problems
20. FIR DIGITAL FILTERS
Scope and Objectives / Symmetric Sequences and Linear Phase / Window-Based Design / Half-Band FIR Filters / FIR Filter Design by Frequency Sampling / Design of Optimal Linear-Phase FIR Filters / Application: Multistage Interpolation and Decimation / Maximally Flat FIR Filters / FIR Differentiators and Hilbert Transformers / Least Squares and Adaptive Signal Processing / Problems
21. MATLAB® EXAMPLES
Introduction / ADSP Toolbox and Its Installation / MATLAB Tips and Pointers / Graphical User Interface Programs / The ADSP Toolbox / Examples of MATLAB Code / REFERENCES / INDEX