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Q2: sampling an 8-point x(n) time-sequence and you want to sample "exactly three cycles" of a continuous x(t) sinusoid. The 8-point DFT output, x(m), is depicted in Figure 1. a): Given that sample rate was 4000Hz for x(n), calculate the magnitude response of Ix(3)], and phase response of x(3), and then write the time-domain equation for the discrete x(n) sinusoid in trigonometric form. Justify your answer. Hint: x(n) = Ao cos(2лfnts + 9) Ao = (2 M₂) ÷ N

Q2: sampling an 8-point x(n) time-sequence and you want to sample "exactly three cycles" of a continuous x(t) sinusoid. The 8-point DFT output, x(m), is depicted in Figure 1. a): Given that sample rate was 4000Hz for x(n), calculate the magnitude response of Ix(3)], and phase response of x(3), and then write the time-domain equation for the discrete x(n) sinusoid in trigonometric form. Justify your answer. Hint: x(n) = Ao cos(2лfnts + 9) Ao = (2 M₂) ÷ N

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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а 5-657 0 1 2 3 4 5 6 7 5.657 Real part of (x(n)) -5.657 Zmaginary part of 2 (m) 0 1 2 3 4 5 6 7
Transcribed Image Text:а 5-657 0 1 2 3 4 5 6 7 5.657 Real part of (x(n)) -5.657 Zmaginary part of 2 (m) 0 1 2 3 4 5 6 7
Q2: sampling an 8-point x(n) time-sequence and you want to sample "exactly three cycles" of a continuous x(t) sinusoid. The 8-point DFT output, x(m), is depicted in Figure 1. a): Given that sample rate was 4000Hz for x(n), calculate the magnitude response of Ix(3)], and phase response of x(3), and then write the time-domain equation for the discrete x(n) sinusoid in trigonometric form. Justify your answer. Hint: x(n) = Ao cos(2лfnts + 9) Ao = (2 M₂) ÷ N
Transcribed Image Text:Q2: sampling an 8-point x(n) time-sequence and you want to sample "exactly three cycles" of a continuous x(t) sinusoid. The 8-point DFT output, x(m), is depicted in Figure 1. a): Given that sample rate was 4000Hz for x(n), calculate the magnitude response of Ix(3)], and phase response of x(3), and then write the time-domain equation for the discrete x(n) sinusoid in trigonometric form. Justify your answer. Hint: x(n) = Ao cos(2лfnts + 9) Ao = (2 M₂) ÷ N
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