1 The first five points of the eight-point DFT of a real-valued sequence are {0.25,0.125 – j0.3018, 0, 0.125 – j0.0518, 0}. Determine the remaining three points.2 Compute the eight-point circular convolution for the following sequences.(a) x1(n) = {1, 1, 1, 1, 0, 0, 0, 0}Злx2(n)= sin0

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1 The first five points of the eight-point DFT of a real-valued sequence are {0.25, 0.125 – j0.3018, 0, 0.125 - j0.0518, 0}. Determine the remaining three points.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

1 The first five points of the eight-point DFT of a real-valued sequence are {0.25,
0.125 – j0.3018, 0, 0.125 – j0.0518, 0}. Determine the remaining three points.
2 Compute the eight-point circular convolution for the following sequences.
(a) x1(n) = {1, 1, 1, 1, 0, 0, 0, 0}
Зл
x2(n)
= sin
0<n <7
n,
8
1
(b) x1(n) = ()",
0<n<7
x2 (n) = cos
n,
0sn<7
(c) Compute the DFT of the two circular convolution sequences using the DFTS of

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