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For the sequences x1(n)=cos 2?n/N,  x2(n)=sin2?/N, 0<=n<=N-1 Determine the N-point: (i) Circular convolution x1(n) x2(n) (ii) Circular correlation of x1(n) and x2(n) (iii) Circular autocorrelation of x1(n)

For the sequences x1(n)=cos 2?n/N,  x2(n)=sin2?/N, 0<=n<=N-1 Determine the N-point: (i) Circular convolution x1(n) x2(n) (ii) Circular correlation of x1(n) and x2(n) (iii) Circular autocorrelation of x1(n)

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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For the sequences

x1(n)=cos 2?n/N,  x2(n)=sin2?/N,

0<=n<=N-1
Determine the N-point:
(i) Circular convolution x1(n) x2(n)
(ii) Circular correlation of x1(n) and x2(n)
(iii) Circular autocorrelation of x1(n)
(iv) Circular autocorrelation of x2(n)

For the sequences X1(п) — сos —п, N 0 <n < N – 1 x2(n) = sin -n, N Determine the N-point: 2/3 (i) (ii) (iii) (iv) Circular convolution x1(n) Circular correlation of x1(n) and x2(n) Circular autocorrelation of x1(n) X2(n) Circular autocorrelation of x2(n) •.. •..
Transcribed Image Text:For the sequences X1(п) — сos —п, N 0 <n < N – 1 x2(n) = sin -n, N Determine the N-point: 2/3 (i) (ii) (iii) (iv) Circular convolution x1(n) Circular correlation of x1(n) and x2(n) Circular autocorrelation of x1(n) X2(n) Circular autocorrelation of x2(n) •.. •..
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