Q. An analog signal x(t) is characterized by its frequency spectrum such that: - IkHz < f <1lkHz X(f)={10³ 0, elsewhere This signal is to be sampled and sent via a PCM system. 1. Sketch the spectrum of x(t) and determine its bandwidth. 2. Select a suitable sampling frequency to guaranty a guardband of 200 Hz between the adjacent spectral sidebands of the sampled signal in order to avoid aliasing. 3. Sketch the spectrum of the sampled signal x,(t). 4. Determine a suitable cutoff frequency for the reconstruction filter to recover the original message signal without distortion.
Q. An analog signal x(t) is characterized by its frequency spectrum such that: - IkHz < f <1lkHz X(f)={10³ 0, elsewhere This signal is to be sampled and sent via a PCM system. 1. Sketch the spectrum of x(t) and determine its bandwidth. 2. Select a suitable sampling frequency to guaranty a guardband of 200 Hz between the adjacent spectral sidebands of the sampled signal in order to avoid aliasing. 3. Sketch the spectrum of the sampled signal x,(t). 4. Determine a suitable cutoff frequency for the reconstruction filter to recover the original message signal without distortion.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![Q. An analog signal x(1) is characterized by its frequency spectrum such that:
- IkHz < f <IkHz
X(f)={10³
0, elsewhere
This signal is to be sampled and sent via a PCM system.
1. Sketch the spectrum of x(t) and determine its bandwidth.
2. Select a suitable sampling frequency to guaranty a guardband of 200 Hz
between the adjacent spectral sidebands of the sampled signal in order to
avoid aliasing.
3. Sketch the spectrum of the sampled signal x,(t).
4. Determine a suitable cutoff frequency for the reconstruction filter to
recover the original message signal without distortion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4ca3c9a-43c8-4b98-87b4-f55f7036b9f3%2Fb5bae987-bc9d-49bf-902e-e43aa26669ea%2F6nxcxsn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q. An analog signal x(1) is characterized by its frequency spectrum such that:
- IkHz < f <IkHz
X(f)={10³
0, elsewhere
This signal is to be sampled and sent via a PCM system.
1. Sketch the spectrum of x(t) and determine its bandwidth.
2. Select a suitable sampling frequency to guaranty a guardband of 200 Hz
between the adjacent spectral sidebands of the sampled signal in order to
avoid aliasing.
3. Sketch the spectrum of the sampled signal x,(t).
4. Determine a suitable cutoff frequency for the reconstruction filter to
recover the original message signal without distortion.
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