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O Let x[n], y[n] be causal sequences. Prove that 2jf x² (2)Y²(z)z ¹dz = [ 27j fx²¹(z)z ¹dz] · [27j fy²(z)z ¹dz]. 2πTj

O Let x[n], y[n] be causal sequences. Prove that 2jf x² (2)Y²(z)z ¹dz = [ 27j fx²¹(z)z ¹dz] · [27j fy²(z)z ¹dz]. 2πTj

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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Do 7.10 handwritten .

7.10 Let x[n], y[n] be causal sequences. Prove that 27 x² (zY²(z)z-¹dz = [2 fx²(z)z-¹dz]. [2 fy¹²(z)z ¹dz]. 7.11 Prove that a system obeving a difference equation such as (7.45) is linear and
Transcribed Image Text:7.10 Let x[n], y[n] be causal sequences. Prove that 27 x² (zY²(z)z-¹dz = [2 fx²(z)z-¹dz]. [2 fy¹²(z)z ¹dz]. 7.11 Prove that a system obeving a difference equation such as (7.45) is linear and
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