Consider the anti-causal discrete-time system described by the difference equation: y/n] + 등y[n - 1] + 금비n- 2] = «[끼] Determine the system function H(z). 1 , ROC: < 1리 < 글 (1-글2-1)(1-12 1)' 1 , ROC: 1리 > 글 (1 – z-1)(1 – 1) 1 ROC: |z| < 글 (1+ 글31)(1+ 궁21)' 1 , 를 ROC: |리 < 3 (1 – z-1)(1 – -1) 1 ., ROC: |리| > (1+ -1)(1 + 궁z-1) 1 ROC: <1리<글 (1-글2-1)(1+ 12-1)' Determine the impulse response h[n]. 이2(-3)"-3(-글)끼]미-n - 1] 이2(글)" + 3(금)끼비-n -1] 이(승)"- (3)끼미-n -1 이(-3)"- (-글)끼미-n -1] 이12(-1)" + 3(-3)끼]u[-n - 1] 이2()"-3(3)이미-n -1

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Consider the anti-causal discrete-time system described by the difference equation:
ym] + 등기n - 1] + y(n-2] = z[n]
Determine the system function H(z).
1
ROC: < 1리 < 글
(1-글31)(1-321)'
1
,ROC: |리 > 글
(1-글2-1)(1-32-1)
1
, 를
ROC: |리<
(1+
·글2
-1)(1 + 궁z-1)
1
ROC: 1리 <
(1-글2-1)(1-321)
1
ROC: |리 >
(1+ 글z-1)(1 + 흉z-1)'
ROC: 를 < 1리 <글
(1-글2-1)(1+ 공~-1)
Determine the impulse response h[n].
이2(-3)"-3(-1)끼비-n -1]
이12(글)" + 3(금)끼리-n-1]
IG)" – G)"|«(-n – 1]
이(-3)"- (-1)끼미-n-1]
이2(-1)" + 3(-8)끼비-n - 1]
O12()" – 3(})"]u[¬n – 1)
Transcribed Image Text:Consider the anti-causal discrete-time system described by the difference equation: ym] + 등기n - 1] + y(n-2] = z[n] Determine the system function H(z). 1 ROC: < 1리 < 글 (1-글31)(1-321)' 1 ,ROC: |리 > 글 (1-글2-1)(1-32-1) 1 , 를 ROC: |리< (1+ ·글2 -1)(1 + 궁z-1) 1 ROC: 1리 < (1-글2-1)(1-321) 1 ROC: |리 > (1+ 글z-1)(1 + 흉z-1)' ROC: 를 < 1리 <글 (1-글2-1)(1+ 공~-1) Determine the impulse response h[n]. 이2(-3)"-3(-1)끼비-n -1] 이12(글)" + 3(금)끼리-n-1] IG)" – G)"|«(-n – 1] 이(-3)"- (-1)끼미-n-1] 이2(-1)" + 3(-8)끼비-n - 1] O12()" – 3(})"]u[¬n – 1)
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