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Example: Compute the DFT of the 4-point sequence [x(n)] = [0123] Solution: The first step is to determine the matrix W₁, by exploiting the periodicity property of W, and the symmetry property The matrix W, can be expressed as W₁ wo wo wo w w w w w w w w w w w w w XN = WNXN 1 1 1 1 1 W W W 1 W W W www. 1 1 -1 j 1 j -1 TT 11 [0123] = Example: Determine the DFT of the sequence if the sampling frequency is 4Hz x(t) = 5+2 cos(2nt-90)=3cos4mt 6 -2+j -2 -2-2) Hello, expert. I need to solve this question according to the rule above. Please, a clear line and a step-by-step explanation

Example: Compute the DFT of the 4-point sequence [x(n)] = [0123] Solution: The first step is to determine the matrix W₁, by exploiting the periodicity property of W, and the symmetry property The matrix W, can be expressed as W₁ wo wo wo w w w w w w w w w w w w w XN = WNXN 1 1 1 1 1 W W W 1 W W W www. 1 1 -1 j 1 j -1 TT 11 [0123] = Example: Determine the DFT of the sequence if the sampling frequency is 4Hz x(t) = 5+2 cos(2nt-90)=3cos4mt 6 -2+j -2 -2-2) Hello, expert. I need to solve this question according to the rule above. Please, a clear line and a step-by-step explanation

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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Example: Compute the DFT of the 4-point sequence [x(n)] = [0123] Solution: The first step is to determine the matrix W₁, by exploiting the periodicity property of W, and the symmetry property The matrix W, can be expressed as W₁ wo wo wo w w w w w w w w w w w w w? XN = WNXN 1 1 1 1 1 W W W 1 W W W www. 1 -1 1 j -1 TT 1 j 1012 11 [0123] = Example: Determine the DFT of the sequence if the sampling frequency is 4Hz x(t) = 5+2 cos(2nt-90)=3cos4nt 6 -2+1 -2 -2-2) Hello, expert. I need to solve this question according to the rule above. Please, a clear line and a step-by-step explanation
Transcribed Image Text:Example: Compute the DFT of the 4-point sequence [x(n)] = [0123] Solution: The first step is to determine the matrix W₁, by exploiting the periodicity property of W, and the symmetry property The matrix W, can be expressed as W₁ wo wo wo w w w w w w w w w w w w w? XN = WNXN 1 1 1 1 1 W W W 1 W W W www. 1 -1 1 j -1 TT 1 j 1012 11 [0123] = Example: Determine the DFT of the sequence if the sampling frequency is 4Hz x(t) = 5+2 cos(2nt-90)=3cos4nt 6 -2+1 -2 -2-2) Hello, expert. I need to solve this question according to the rule above. Please, a clear line and a step-by-step explanation
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