3. An analog signal xa(t) has frequency components up to and including 100 kHz (2 = 200n rad/s). We desire an output ya(t) to be a filtered version of the input where only frequency components between 0 and 40 kHz are preserved. The filtering is to be accomplished by sampling the continuous-time signal and using a digital filter. a) What is the minimum sampling rate that can be used? b) For the minimum sampling rate found in (a), what range of digital frequencies o should be rejected by the filter? c) Sketch the magnitude characteristic of an ideal digital filter that will accomplish the desired filtering operation. %3!
3. An analog signal xa(t) has frequency components up to and including 100 kHz (2 = 200n rad/s). We desire an output ya(t) to be a filtered version of the input where only frequency components between 0 and 40 kHz are preserved. The filtering is to be accomplished by sampling the continuous-time signal and using a digital filter. a) What is the minimum sampling rate that can be used? b) For the minimum sampling rate found in (a), what range of digital frequencies o should be rejected by the filter? c) Sketch the magnitude characteristic of an ideal digital filter that will accomplish the desired filtering operation. %3!
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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![3. An analog signal xa(t) has frequency components up to and including 100 kHz (2 = 200 rad/s). We
desire an output ya(t) to be a filtered version of the input where only frequency components between 0
and 40 kHz are preserved. The filtering is to be accomplished by sampling the cotinuous-time signal
and using a digital filter.
a) What is the minimum sampling rate that can be used?
b) For the minimum sampling rate found in (a), what range of digital frequencies o should be rejected
by the filter?
c) Sketch the magnitude characteristic of an ideal digital filter that will accomplish the desired filtering
operation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F762bc0f1-f64c-4f56-8d5f-6d67d3b53d51%2Ff71592a6-6126-4b9a-bb1b-d9f497d917ea%2F0jh95x_processed.png&w=3840&q=75)
Transcribed Image Text:3. An analog signal xa(t) has frequency components up to and including 100 kHz (2 = 200 rad/s). We
desire an output ya(t) to be a filtered version of the input where only frequency components between 0
and 40 kHz are preserved. The filtering is to be accomplished by sampling the cotinuous-time signal
and using a digital filter.
a) What is the minimum sampling rate that can be used?
b) For the minimum sampling rate found in (a), what range of digital frequencies o should be rejected
by the filter?
c) Sketch the magnitude characteristic of an ideal digital filter that will accomplish the desired filtering
operation.
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