Based on the following expression 63 14 1 4x[n]+ x[n= 1]– x[n –2]→ y[n]-y[n– 1]+y[n- 2]-y[n- 3] 90 (4.1) 90 where x and y are the input and output signal respectively, find: (a) the impulse response H[z] (b) the partial response of H[z] (c) the inverse z-transform equation and draw the region of convergence for the followings: (i) Iz| < 1/6 (ii) Iz| > 1/3

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Based on the following expression
63
14
1
4x[n]+ x[n= 1]– x[n –2]→ y[n]-y[n– 1]+y[n- 2]-y[n- 3]
90
(4.1)
90
where x and y are the input and output signal respectively, find:
(a) the impulse response H[z]
(b) the partial response of H[z]
(c)
the inverse z-transform equation and draw the region of convergence for the followings:
(i)
Iz| < 1/6
(ii) Iz| > 1/3
Transcribed Image Text:Based on the following expression 63 14 1 4x[n]+ x[n= 1]– x[n –2]→ y[n]-y[n– 1]+y[n- 2]-y[n- 3] 90 (4.1) 90 where x and y are the input and output signal respectively, find: (a) the impulse response H[z] (b) the partial response of H[z] (c) the inverse z-transform equation and draw the region of convergence for the followings: (i) Iz| < 1/6 (ii) Iz| > 1/3
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