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Let X(k)={1,2,3,4,4,3,2,1} be an 8-point DFT of a time sequence x(n). a. Find x(0) and x(1). b. Let x,(n) = x(2n) and x,(n) =x(2n+1). Express X(k) in terms of X1(k) and X2(k). Note that X1(k) and X2(k) are 4-point DFTS.

Let X(k)={1,2,3,4,4,3,2,1} be an 8-point DFT of a time sequence x(n). a. Find x(0) and x(1). b. Let x,(n) = x(2n) and x,(n) =x(2n+1). Express X(k) in terms of X1(k) and X2(k). Note that X1(k) and X2(k) are 4-point DFTS.

Introductory Circuit Analysis (13th Edition)
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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Let X(k)={1,2,3,4,4,3,2,1} be an 8-point DFT of a time sequence x(n). a. Find x(0) and x(1). b. Let x,(n) = x(2n) and x,(n) =x(2n+1). Express X(k) in terms of X1(k) and X2(k). Note that X1(k) and X2(k) are 4-point DFTS.
Transcribed Image Text:Let X(k)={1,2,3,4,4,3,2,1} be an 8-point DFT of a time sequence x(n). a. Find x(0) and x(1). b. Let x,(n) = x(2n) and x,(n) =x(2n+1). Express X(k) in terms of X1(k) and X2(k). Note that X1(k) and X2(k) are 4-point DFTS.
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