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Problem 4 Answer the questions below for the power spectrum shown on the right. The curve indicates the envelope of the spectrum with many peaks (not shown) under the envelope. Power (W) 9 3 0 10 20 30 Frequency (kHz) 40 50

Problem 4 Answer the questions below for the power spectrum shown on the right. The curve indicates the envelope of the spectrum with many peaks (not shown) under the envelope. Power (W) 9 3 0 10 20 30 Frequency (kHz) 40 50

Introductory Circuit Analysis (13th Edition)
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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Problem 4 Answer the questions below for the power spectrum shown on the right. The curve indicates the envelope of the spectrum with many peaks (not shown) under the envelope. Power (W) (e) Sketch the envelope of the power spectrum at the output port of the low-pass filter used in part (d). Assume a filter with a high order, i.e. very sharp filter rolloff above the cut-off frequency. The power gain of the filter in the pass-band is 0 dB. Show your work? (f) What is the minimum sampling frequency needed to sample the filtered signal? Explain. Power (W) 5 (a) The signal is sampled at 50 kHz. Sketch the spectrum of the sampled signal from 0 to 200 kHz. Carefully label the frequency axis. Note: You do not have sufficient information to calculate the vertical voltage axis, just provide an approximate sketch of the spectrum. 4 (b) Is the sampling frequency sufficient to allow reconstruction of the original signal? Explain your answer. 3 3 (c) A low-pass filter is used to reconstruct the original signal. What is the acceptable range of frequencies for the cut-off frequency of the filter for proper reconstruction of the original signal? Explain your answer using the sampled spectrum you found in part (a). 2 2 1 0 (d) The ORIGINAL signal is passed through a low-pass filter with a 3 dB cut-off frequency at 10 kHz BEFORE it is sampled. Find the signal power at the filter output at 10 kHz. Explain your work ** 1 0 0 0 10 20 30 10 Frequency (kHz) 20 40 30 Frequency (kHz) 40 50 50
Transcribed Image Text:Problem 4 Answer the questions below for the power spectrum shown on the right. The curve indicates the envelope of the spectrum with many peaks (not shown) under the envelope. Power (W) (e) Sketch the envelope of the power spectrum at the output port of the low-pass filter used in part (d). Assume a filter with a high order, i.e. very sharp filter rolloff above the cut-off frequency. The power gain of the filter in the pass-band is 0 dB. Show your work? (f) What is the minimum sampling frequency needed to sample the filtered signal? Explain. Power (W) 5 (a) The signal is sampled at 50 kHz. Sketch the spectrum of the sampled signal from 0 to 200 kHz. Carefully label the frequency axis. Note: You do not have sufficient information to calculate the vertical voltage axis, just provide an approximate sketch of the spectrum. 4 (b) Is the sampling frequency sufficient to allow reconstruction of the original signal? Explain your answer. 3 3 (c) A low-pass filter is used to reconstruct the original signal. What is the acceptable range of frequencies for the cut-off frequency of the filter for proper reconstruction of the original signal? Explain your answer using the sampled spectrum you found in part (a). 2 2 1 0 (d) The ORIGINAL signal is passed through a low-pass filter with a 3 dB cut-off frequency at 10 kHz BEFORE it is sampled. Find the signal power at the filter output at 10 kHz. Explain your work ** 1 0 0 0 10 20 30 10 Frequency (kHz) 20 40 30 Frequency (kHz) 40 50 50
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