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)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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)
•..
•..

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