1. The following continuous-time input signals xc (t) and corresponding discrete-time output signals x[n] are those of an ideal C/D as shown in Fig 1. Specify a choice for the sampling period 7 that is consistent with each pair of xe(t) and x[n]. In addition, indicate whether your choice of T' is unique. If not, specify a second possible choice of T consistent with the information given. (a) xc(t) = sin(10πt), x[n] = sin(πn/4) (b) xc(t) = sin(10πt)/(10nt), x[n] = sin(ân/2)/(πn/2). X(r) C/D T x[n] = xc(nT) Fig 1
1. The following continuous-time input signals xc (t) and corresponding discrete-time output signals x[n] are those of an ideal C/D as shown in Fig 1. Specify a choice for the sampling period 7 that is consistent with each pair of xe(t) and x[n]. In addition, indicate whether your choice of T' is unique. If not, specify a second possible choice of T consistent with the information given. (a) xc(t) = sin(10πt), x[n] = sin(πn/4) (b) xc(t) = sin(10πt)/(10nt), x[n] = sin(ân/2)/(πn/2). X(r) C/D T x[n] = xc(nT) Fig 1
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![1.
The following continuous-time input signals xc (t) and corresponding
discrete-time output signals x[n] are those of an ideal C/D as shown in Fig 1.
Specify a choice for the sampling period 7 that is consistent with each pair of
xe(t) and x[n]. In addition, indicate whether your choice of T' is unique. If not,
specify a second possible choice of T consistent with the information given.
(a) xc(t) = sin(10πt), x[n] = sin(πn/4)
(b) xc(t) = sin(10πt)/(10nt), x[n] = sin(ân/2)/(πn/2).
X(r)
C/D
T
x[n] = xc(nT)
Fig 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F463d379b-4d7c-4041-b0ec-7b676d1223ee%2F255530ad-9b67-42d7-b88b-38a087bb54d1%2F41de8m9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.
The following continuous-time input signals xc (t) and corresponding
discrete-time output signals x[n] are those of an ideal C/D as shown in Fig 1.
Specify a choice for the sampling period 7 that is consistent with each pair of
xe(t) and x[n]. In addition, indicate whether your choice of T' is unique. If not,
specify a second possible choice of T consistent with the information given.
(a) xc(t) = sin(10πt), x[n] = sin(πn/4)
(b) xc(t) = sin(10πt)/(10nt), x[n] = sin(ân/2)/(πn/2).
X(r)
C/D
T
x[n] = xc(nT)
Fig 1
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