2. The signal m(t) = 3 cos 20000πt is fed to a VCO with quiescent frequency of 3 MHz and frequency sensitivity of 20 KHz/V. Denote the output of the VCO by y(t). (a) Derive the output y(t). (b) Determine the frequency deviation and the modulation index. (c) Derive the spectrum of y(t). What is the frequency separation of the adjacent side frequencies of this FM signal? (d) Provide an estimate of the bandwidth of y(t) (using Carson's rule). (e) The signal y(t) is passed through an ideal bandpass filter with center frequency 3.005 MHz and bandwidth 6kHz. Determine the amplitude spectrum of the output signal.
2. The signal m(t) = 3 cos 20000πt is fed to a VCO with quiescent frequency of 3 MHz and frequency sensitivity of 20 KHz/V. Denote the output of the VCO by y(t). (a) Derive the output y(t). (b) Determine the frequency deviation and the modulation index. (c) Derive the spectrum of y(t). What is the frequency separation of the adjacent side frequencies of this FM signal? (d) Provide an estimate of the bandwidth of y(t) (using Carson's rule). (e) The signal y(t) is passed through an ideal bandpass filter with center frequency 3.005 MHz and bandwidth 6kHz. Determine the amplitude spectrum of the output signal.
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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Transcribed Image Text:2. The signal m(t) = 3 cos 20000πt is fed to a VCO with quiescent frequency of 3 MHz
and frequency sensitivity of 20 KHz/V. Denote the output of the VCO by y(t).
(a) Derive the output y(t).
(b) Determine the frequency deviation and the modulation index.
(c) Derive the spectrum of y(t). What is the frequency separation of the adjacent side
frequencies of this FM signal?
(d) Provide an estimate of the bandwidth of y(t) (using Carson's rule).
(e) The signal y(t) is passed through an ideal bandpass filter with center frequency 3.005
MHz and bandwidth 6kHz. Determine the amplitude spectrum of the output signal.
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