Compute the Discrete Fourier Coefficients X[k] for the N-periodic version of the following finite-length sequences:x[n] = 8[n- no], 0≤n≤N-1, N > noplot X[k] on the unit circle from k = 0 to N - 1 for the cases below:a. N = 4, no = 1b. N = 16, no = 3

In signal processing and Fourier analysis, the Discrete Fourier Transform (DFT) plays a crucial role…

Compute the Discrete Fourier Coefficients X[k] for the N-periodic version of the following finite- length sequences: x[n] = [n-no], 0≤ n ≤N−1, N > n。 plot X[k] on the unit circle from k = 0 to N - 1 for the cases below: a. N = 4, no = 1 b. N = 16, no = 3

Compute the Discrete Fourier Coefficients X[k] for the N-periodic version of the following finite- length sequences: x[n] = [n-no], 0≤ n ≤N−1, N > n。 plot X[k] on the unit circle from k = 0 to N - 1 for the cases below: a. N = 4, no = 1 b. N = 16, no = 3

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Compute the Discrete Fourier Coefficients X[k] for the N-periodic version of the following finite-
length sequences:
x[n] = 8[n- no], 0≤n≤N-1, N > no
plot X[k] on the unit circle from k = 0 to N - 1 for the cases below:
a. N = 4, no = 1
b. N = 16, no = 3

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Step 1: Introduce Discrete Fourier Transform

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Step 2: Define Discrete Fourier Coefficient

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Step 3: a. N=4, no = 1

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Step 4: b. N=16, no = 3

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