連續與離散時間信號與系統

連續與離散時間信號與系統

《連續與離散時間信號與系統》是2010年人民郵電出版社出版的圖書,作者是(加)曼達爾、阿賽夫。本書涵蓋了連續與離散時間信號與系統的方方面面。

基本信息

作者簡介

Mrinal Mandal加拿大阿爾伯塔大學電氣與計算機工程系副教授。主要研究興趣包括多媒體信號處理、醫用圖像與視頻分析、圖像與視頻壓縮,以及用於實時信號與圖像處理的VLSI架構。

內容簡介

全書內容分為三大部分,分別為信號與系統概述、連續時間信號與系統,以及離散時間信號與系統。書中還有大量的例題和習題,供學生鞏固所學內容。 本書既可作為高等院校電子電氣等相關專業學生的參考教材,又可供電子電氣工程師參考。

目錄

Part I Introduction to signals and systems

1 Introduction to signals

1.1 Classification of signals

1.2 Elementary signals

1.3 Signal operations

1.4 Signal implementation with MATLAB

1.5 Summary

Problems

2 Introduction to systems

2.1 Examples of systems

2.2 Classification of systems

2.3 Interconnection of systems

2.4 Summary

Problems

Part II Continuous-time signals and systems

3 Time-domain analysis of LTIC systems

3.1 Representation of LTIC systems

3.2 Representation of signals using Dirac delta functions

3.3 Impulse response of a system

3.4 Convolution integral

3.5 Graphical method for evaluating the convolution integral

3.6 Properties of the convolution integral

3.7 Impulse response of LTIC systems

3.8 Experiments with MATLAB

3.9 Summary

Problems

4 Signal representation using Fourier series

4.1 Orthogonal vector space

4.2 Orthogonal signal space

4.3 Fourier basis functions

4.4 Trigonometric CTFS

4.5 Exponential Fourier series

4.6 Properties of exponential CTFS

4.7 Existence of Fourier series

4.8 Application of Fourier series

4.9 Summary

Problems

5 Continuous-time Fourier transform

5.1 CTFT for aperiodic signals

5.2 Examples of CTFT

5.3 Inverse Fourier transform

5.4 Fourier transform of real, even, and odd functions

5.5 Properties of the CTFT

5.6 Existence of tCTFT

5.7 CTFT of periodic functions

5.8 CTFS coefficients as samples of CTFT

5.9 LTIC systems analysis using CTFT

5.10 MATLAB exercises

5.11 Summary

Problems

6 Laplace transform

6.1 Analytical development

6.2 Unilateral Laplace transform

6.3 Inverse Laplace transform

6.4 Properties of the Laplace transform

6.5 Solution of differential equations

6.6 Characteristic equation, zeros, and poles

6.7 Properties of the ROC

6.8 Stable and causal LTIC systems

6.9 LTIC systems analysis using Laplace transform

6.10 Block diagram representations

6.11 Summary

Problems

7 Continuous-time filters

7.1 Filter classification

7.2 Non-ideal filter characteristics

7.3 Design of CT lowpass filters

7.4 Frequency transformations

7.5 Summary

Problems

8 Case studies for CT systems

8.1 Amplitude modulation of baseband signals

8.2 Mechanical spring damper system

8.3 Armature-controlled dc motor

8.4 Immune system in humans

8.5 Summary

Problems

Part III Discrete-time signals and systems

9 Sampling and quantization

9.1 Ideal impulse-train sampling

9.2 Practical approaches to sampling

9.3 Quantization

9.4 Compact disks

9.5 Summary

Problems

10 Time-domain analysis of discrete-time systems systems

10.1 Finite-difference equation representation of LTID systems

10.2 Representation of sequences using Dirac delta functions

10.3 Impulse response of a system

10.4 Convolution sum

10.5 Graphical method for evaluating the convolution sum

10.6 Periodic convolution

10.7 Properties of the convolution sum

10.8 Impulse response of LTID systems

10.9 Experiments with MATLAB

10.10 Summary

Problems

11 Discrete-time Fourier series and transform

11.1 Discrete-time Fourier series

11.2 Fourier transform for aperiodic functions

11.3 Existence of the DTFT

11.4 DTFT of periodic functions

11.5 Properties of the DTFT and the DTFS

11.6 Frequency response of LTID systems

11.7 Magnitude and phase spectra

11.8 Continuous-and discrete-time Fourier transforms

11.9 Summary

Problems

12 Discrete Fourier transform

12.1 Continuous to discrete Fourier transform

12.2 Discrete Fourier transform

12.3 Spectrum analysis using the DFT

12.4 Properties of the DFT

12.5 Convolution using the DFT

12.6 Fast Fourier transform

12.7 Summary

Problems

13 The z-transform

13.1 Analytical development

13.2 Unilateral z-transform

13.3 Inverse z-transform

13.4 Properties of the z-transform

13.5 Solution of difference equations

13.6 z-transfer function of LTID systems

13.7 Relationship between Laplace and z-transforms

13.8 Stabilty analysis in the z-domain

13.9 Frequency-response calculation in the z-domain

13.10 DTFT and the z-transform

13.11 Experiments with MATLAB

13.12 Summary

Problems

14 Digital filters

14.1 Filter classification

14.2 FIR and IIR filters

14.3 Phase of a digital filter

14.4 Ideal versus non-ideal filters

14.5 Filter realization

14.6 FIR filters

14.7 IIR filters

14.8 Finite precision effect

14.9 MATLAB examples

14.10 Summary

Problems

15 FIR filter design

15.1 Lowpass filter design using windowing method

15.2 Design of highpass filters using windowing

15.3 Design of bandpass filters using windowing

15.4 Design of a bandstop filter using windowing

15.5 Optimal FIR filters

15.6 MATLAB examples

15.7 Summary

Problems

16 IIR filter design

16.1 IIR filter design principles

16.2 Impulse invariance

16.3 Bilinear transformation

16.4 Designing highpass, bandpass, and bandstop IIR filters

16.5 IIR and FIR filters

16.6 Summary

Problems

17 Applications of digital signal processing

17.1 Spectral estimation

17.2 Digital audio

17.3 Audio filtering

17.4 Digital audio compression

17.5 Digital images

17.6 Image filtering

17.7 Image compression

17.8 Summary

Problems

Appendix A Mathematical preliminaries

A.1 Trigonometric identities

A.2 Power series

A.3 Series summation

A.4 Limits and differential calculus

A.5 Indefinite integrals

Appendix B Introduction to the complex-number system

B.1 Real-number system

B.2 Complex-number system

B.3 Graphical interpertation of complex numbers

B.4 Polar representation of complex numbers

B.5 Summary

Problems

Appendix C Linear constant-coefficient differential equations

C.1 Zero-input response

C.2 Zero-state response

C.3 Complete response

Appendix D Partial fraction expansion

D.1 Laplace transform

D.2 Continuous-time Fourier transform

D.3 Discrete-time Fourier transform

D.4 The z-transform

Appendix E Introduction to MATLAB

E.1 Introduction

E.2 Entering data into MATLAB

E.3 Control statements

E.4 Elementary matrix operations

E.5 Plotting functions

E.6 Creating MATLAB functions

E.7 Summary

Appendix F About the CD

F.1 Interactive environment

F.2 Data

F.3 MATLAB codes

Bibliography

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