= Question: 1 A baseband signal, g(t), with bandwidth 10 kHz, is such that its amplitude satisfies g(t) < 0.8 V, and has

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Question 1 A Baseband Signal G T With Bandwidth 10 Khz Is Such That Its Amplitude Satisfies G T 0 8 V And Has 1 (101.82 KiB) Viewed 57 times

= Question: 1 A baseband signal, g(t), with bandwidth 10 kHz, is such that its amplitude satisfies g(t) < 0.8 V, and has average power = 0.1 Watts. This signal is connected to a circuit composed of a mixer and an adder as shown in Figure 1 below. The resulting signal, s(t), is transmitted through a channel as shown. The scaling factor, a, represents a signal power attenuation of 120 dB, and (t) is additive white Gaussian noise with single-sided power spectral density (PSD) No = -174 dBm/Hz. The receiver applies an ideal band pass filter having bandwidth just sufficient to capture the whole of the received modulated signal. [Note that if the power of a signal is Pm mWatts, then its power in dBm is = 10 x log10(Pn) dBm.] Transmitter Receiver Channel Ideal Band "A" + s(t) Đ (+) >f(t). F Pass Filter g(t)- Q w(t)- c(t)=3 cos(10 st) W Figure 1: Circuit to be considered in question 1. 1.1 Sketch the time-domain signal, 3(t), showing numbers and units on both axes. What name is given to this type of modulation? [30%] 1.2 Calculate the signal-to-noise ratio (SNR) in dB at point "A". Do not count the carrier component as contributing to the "signal power" here, as it bears no information. [40%] 1.3 What do we mean when we say that a random signal is wide-sense stationary? (15%) 1.4 What is meant by the Energy Spectral Density (ESD) of a deterministic energy signal? Consider a signal, r(t), with one-sided ESD given by: $:() = {482 it 0< f < 10 kHz 10 otherwise. Determine the fraction of the signal's energy that lies in the frequency range 0 < f < 5 kHz. (15%)