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Q1) [60p] Given the following message and carrier signal m(t) = 2 cos 2000лt + 6 sin 6000πt + 10 cos 10000nt c(t) = 20 cos 3200лt The signal is passed through following nonlinear device and a subsequent filter to generate DSB-AM signal. The nonlinear device has the input-output relation y(t) = 3x²(t) + 2x(t). y(t) u(t) m(t). Non-Linear Device Filter c(t) a) Determine y(t). b) Determine type of filter (BPF, HPF, LPF) and the bandwidth to obtain a DSB-AM signal (Conventional AM) c) What is the modulation index? d) Determine power of m(t), u(t), and the ratio of power in side bands to carrier. e) Assume that modulation signal u(t) is going to be demodulated by an envelope detector. The resistor is selected as R = 1 KQ. What is the minimum and maximum value of capacitor for a good detector.

Q1) [60p] Given the following message and carrier signal m(t) = 2 cos 2000лt + 6 sin 6000πt + 10 cos 10000nt c(t) = 20 cos 3200лt The signal is passed through following nonlinear device and a subsequent filter to generate DSB-AM signal. The nonlinear device has the input-output relation y(t) = 3x²(t) + 2x(t). y(t) u(t) m(t). Non-Linear Device Filter c(t) a) Determine y(t). b) Determine type of filter (BPF, HPF, LPF) and the bandwidth to obtain a DSB-AM signal (Conventional AM) c) What is the modulation index? d) Determine power of m(t), u(t), and the ratio of power in side bands to carrier. e) Assume that modulation signal u(t) is going to be demodulated by an envelope detector. The resistor is selected as R = 1 KQ. What is the minimum and maximum value of capacitor for a good detector.

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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Q1) [60p] Given the following message and carrier signal m(t) = 2 cos 2000лt + 6 sin 6000πt + 10 cos 10000nt c(t) = 20 cos 3200лt The signal is passed through following nonlinear device and a subsequent filter to generate DSB-AM signal. The nonlinear device has the input-output relation y(t) = 3x²(t) + 2x(t). y(t) u(t) m(t). Non-Linear Device Filter c(t) a) Determine y(t). b) Determine type of filter (BPF, HPF, LPF) and the bandwidth to obtain a DSB-AM signal (Conventional AM) c) What is the modulation index? d) Determine power of m(t), u(t), and the ratio of power in side bands to carrier. e) Assume that modulation signal u(t) is going to be demodulated by an envelope detector. The resistor is selected as R = 1 KQ. What is the minimum and maximum value of capacitor for a good detector.
Transcribed Image Text:Q1) [60p] Given the following message and carrier signal m(t) = 2 cos 2000лt + 6 sin 6000πt + 10 cos 10000nt c(t) = 20 cos 3200лt The signal is passed through following nonlinear device and a subsequent filter to generate DSB-AM signal. The nonlinear device has the input-output relation y(t) = 3x²(t) + 2x(t). y(t) u(t) m(t). Non-Linear Device Filter c(t) a) Determine y(t). b) Determine type of filter (BPF, HPF, LPF) and the bandwidth to obtain a DSB-AM signal (Conventional AM) c) What is the modulation index? d) Determine power of m(t), u(t), and the ratio of power in side bands to carrier. e) Assume that modulation signal u(t) is going to be demodulated by an envelope detector. The resistor is selected as R = 1 KQ. What is the minimum and maximum value of capacitor for a good detector.
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