Consider sending the signal 2Tn 4an Xn = 2 + sin + 3 cos 4 n = 0, 1,..., 199 through a filter whose frequency response H is shown in the figure. Which expres- sion is correct for the output signal? 1 40 90 110 160 199 2πη (a) 2+ sin 4 (b) sin +3 cos 4 2Tn 4Tn (c) sin 4 (d) 2+3 cos

Consider sending the signal 2Tn 4an Xn = 2 + sin + 3 cos 4 n = 0, 1,..., 199 through a filter whose frequency response H is shown in the figure. Which expres- sion is correct for the output signal? 1 40 90 110 160 199 2πη (a) 2+ sin 4 (b) sin +3 cos 4 2Tn 4Tn (c) sin 4 (d) 2+3 cos

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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Concept explainers

Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.

Question

Consider sending the signal
Xn = 2 + sin
+ 3 cos
= 0, 1, ..., 199
n =
through a filter whose frequency response Hj is shown in the figure. Which expres-
sion is correct for the output signal?
1
40
90
110
160
199
2Tn
2Tn
(4an
(a) 2+ sin
4
(b) sin
+ 3 cos
4.
5
ca sin ()
(T)
2πη
(4an
(d) 2+3 cos
4

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