Signal Processing and Linear Systems-B.P.Lathi copy

Matlab is a powerful package developed t o perform m

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Unformatted text preview: a nd s imulation. MATLAB is t he software package used throughout t his book. MATLAB is a powerful package developed t o perform m atrix m anipulations for system designers. MATLAB is easily expandable a nd uses i ts own high level language. These factors make developing sophisticated systems easier. I n a ddition, MATLAB h as b een carefully w ritten t o yield numerically stable results t o p roduce reliable simulations. All t he c omputer examples in this book are verified t o b e c ompatible with t he s tudent e dition of t he MATLAB when used according t o t he i nstructions given in its manual. T he r eader should make sure t hat \ MATLAB\BIN is added in t he DOS search p ath. MATLAB c an b e invoked by executing t he c ommand MATLAB. T he MATLAB banner will a ppear a fter a moment w ith t he p rompt ' »'. MATLAB has a useful on-line help. To get help on a specific command, t ype H ELP C OMMAND NAME a nd t hen p ress t he E NTER key. DIARY F ILE is a command t o record all t he i mportant k eyboard inputs t o a file a nd t he r esulting o utput o f your MATLAB session t o b e w ritten o n t he n amed file. MATLAB can b e used interactively, or by writing functions (subroutines) often called M files because o f t he .M extension used for these files. Once familiar with t he basics of MATLAB, t he r eader can easily learn how t o w rite functions a nd t o use MATLAB's existing functions. T he MATLAB M-files have been created t o s upplement t his t ext. T his includes all t he examples solved by MATLAB in t he t ext. These M-files may b e retrieved from t he Mathworks anonymous F TP s ite a t f tp:/ / f O. P. Mandhana • C ontents B B.1 B.2 B .3 B .4 B .5 B .6 B .7 C ontents 1 Background Complex Numbers Sinusoids Sketching Signals C ramer's Rule Partial fraction expansion V ectors and Matrices Miscellaneous 1 14 19 22 24 34 46 1 Introduction t o Signals and Systems 51 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 Size o f a Signal Classification o f Signals Some Useful Signal O perations Some Useful Signal models Even a nd Odd Functions S ystems Classification of Systems System Model: I nput-output Description Summary 52 57 61 64 75 77 79 88 94 2 T ime-Domain Analysis o f Continuous-Time Systems 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 Introd uction System Response t o Internal Conditions: Zero-Input response T he U nit Impulse response h (t) S ystem Response t o External Input: Zero-State Response Classical Solution of Differential equations System Stability Intuitive Insights into System Behavior Appendix 2.1: Determining T he Impulse Response Summary 104 104 106 115 118 139 147 153 161 163 3 Signal Representation By Fourier Series 171 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 171 177 183 189 206 216 219 222 224 4 S ignals and Vectors Signal Comparison: Correlation Signal Representation by Orthogonal Signal S et Trigon ometric Fourier Series Exponential Fourier Series Numerical Computation o f D n LTIC S ystem response t o Periodic Inputs Appendix S ummar...
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This note was uploaded on 04/14/2013 for the course ENG 350 taught by Professor Bayliss during the Spring '13 term at Northwestern.

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