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at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vectos(n) (n) Z (u)2s -1 (u)2x a1

at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vector s(n) a. Write state equations for the network. b. Find the state matrices A, B, C, D (all 2 x 2) c. Find the matrix system function (z) relating the vector z transforms X(z) and S(z), which is given by the general- ization of (4.4.13), i.e., H(z) D + C(zI - A) B. +oking
s(n) (n) Z (u)2s -1 (u)2x a1
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at Summca O signal 2 65- аz Si ) +aj sz - az Sn) +a, S2) ven below . at SummY The a Si a s2() a S a2 S2 (n) arc the state equS6 Output C 1 c (zI-A HE C. 3 -ar 2-ar 2-a 2G -a2 c[21- B = 2-ax-ar 2-A a 2-tan 2-aya 2-a2 anr D a1 2-ar 2-az-ai2ta ai F-aa H

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