A continuous time function, x(t), is sampled at a sampling period of At = 25 microseconds to form a discrete time signal, x[n], which is stored in a buffer that holds 256 samples. a.) If a discrete Fourier transform (DFT) is taken of the samples in the buffer to estimate the spectrum with the vector, X[k], what is the frequency in Hz repre- sented by the spacing between consecutive frequency samples? b.) If the X[k] = 320/j for k = 17 and X[k] = -320/j for k= 239. For all other values of k in the range 0 ≤ k ≤ N 1, X[k] = 0. What is x[n]? c) Assuming the original time signal, x(t), was oversampled to get x[n], what was x(t) before it was sampled?

A continuous time function, x(t), is sampled at a sampling period of At = 25 microseconds to form a discrete time signal, x[n], which is stored in a buffer that holds 256 samples. a.) If a discrete Fourier transform (DFT) is taken of the samples in the buffer to estimate the spectrum with the vector, X[k], what is the frequency in Hz repre- sented by the spacing between consecutive frequency samples? b.) If the X[k] = 320/j for k = 17 and X[k] = -320/j for k= 239. For all other values of k in the range 0 ≤ k ≤ N 1, X[k] = 0. What is x[n]? c) Assuming the original time signal, x(t), was oversampled to get x[n], what was x(t) before it was sampled?

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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