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MATLAB中用于计算离散序列卷积的函数为:4 U B! V+ H$ o+ {' K5 \- N. {
Q3 l# U/ \/ R8 d1 M5 L& a+ Lconv(x1,x2)
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k1=0:10;
: @% N/ M( w3 D, X9 W% [2 k Jx1=sin(k1);
/ N1 w! v- s5 y$ Ck2=0:15;
, H5 S* T- H4 f: Fx2=0.8.^k2;
) ~9 P4 p! A- j: I8 J, oy=conv(x1,x2);
5 L3 a) T" O8 s$ esubplot(3,1,1) R( q( {6 t2 K
stem(k1,x1,'o')
1 {, \9 k& Y. x2 C% v* Ztitle('x1')6 U4 M' v! ?: e( c% e* \9 R
subplot(3,1,2)5 `6 U* I7 L1 I( s# K
stem(k2,x2,'o')
- w/ F y; f& P* dtitle('x2')
+ c3 g f. s9 ], Q. e: {subplot(3,1,3)& m _4 v6 D5 [! X* r* p
stem(0:25,y,'o')) i: r' p0 D# r7 f
title('y')
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z变换的MATLAB计算9 P0 Z$ t) @$ T& G5 ~2 Y; n
MATLAB内置了符号函数ztrans 和iztrans函数分别对应 z变换和逆z变换
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1 r7 X3 b; J) A7 y8 z+ m! zf=sym('cos(a*k)');
9 b% N& t6 H4 ?3 G: l( {4 OF=ztrans(f)
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F=sym('1/(1+z)^2');6 Z* j5 p7 P% t2 W: p# O& e
fInver=iztrans(F)9 i3 k# C0 S+ N; f
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