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a) x(k) = coshwok How did he get the value inside the line Step 2 a r(k) = coshw,k coshw,k = ewok te-wok f(Z) = Z(e*k) + Z(e-k) Z – transform oj a" : 1 Z(a") =

a) x(k) = coshwok How did he get the value inside the line Step 2 a r(k) = coshw,k coshw,k = ewok te-wok f(Z) = Z(e*k) + Z(e-k) Z – transform oj a" : 1 Z(a") =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) x(k) = coshw.k How did he get the value inside the line Step 2 la r(k) = coshw,k ewok te-wok coshw, k (Z) = Z(c*.k) + Z(e-w*) Z – transform of a“ : | 1 Z(a") = 1-az-1 Z(a") = a ROC : |Z| > |a| X(2) = ( +) () Z-ewo Z-e-wo because a = ewo in Z(ew.k) and a = e-wo in Z(e-w.k )
Transcribed Image Text:a) x(k) = coshw.k How did he get the value inside the line Step 2 la r(k) = coshw,k ewok te-wok coshw, k (Z) = Z(c*.k) + Z(e-w*) Z – transform of a“ : | 1 Z(a") = 1-az-1 Z(a") = a ROC : |Z| > |a| X(2) = ( +) () Z-ewo Z-e-wo because a = ewo in Z(ew.k) and a = e-wo in Z(e-w.k )
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