CEG3185 Winter 2022 Tutorial 1
CEG 3185 TUTORIAL 1
1) Express the following in the simplest form you can: 1. sin(2ft-)+ sin(2ft+)
2. sin(2ft)+sin(2ft-) Problem 2
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Consider the periodic functions f1(t) and f2(t), with periods T1 and T2 respectively. Is it always the case that the function f(t) = f1(t) + f2(t) is periodic? If so, demonstrate this fact. If not, under what conditions is f(t) periodic?
Given an amplifier with an effective noise temperature of 10,000 K and a 10 MHz bandwidth, what thermal noise level, in dBw, may we expect at its output?
What is the thermal noise level of a channel with a bandwidth of 10 KHz carrying 1000 watts of power and operating at 50o C?
If the received signal level for a particular digital system is -151 dBw and the receiver’s effective noise temperature is 1500 K, what is the Eb/No for a link transmitting 2400 bps?
The communication path connecting a sending and a receiving computing device, consists of five links of equal size. In addition to attenuation, the signals passing through these links are impaired by additive noise of zero mean value. The links have identical attenuation and additive noise characteristics. The additive noise process of each link is independent for the noise processes of the other links. The input of each link is equipped with an amplifier. The gain of the amplifier is such that, after amplification, the power of the information signal is restored to its original value (the value the signal had when it left the transmitter of the sending computer). The power of the information signal at the output of the first link is 100 mW, whereas the power of the additive noise is 10 mW. Calculate the Signal-to-Noise (SNR) ratio at the input of the receiving computer.
CEG3185 Winter 2022 Tutorial 1
Deduce the maximum theoretical information rates associated with the following transmission channels:
a) Telex network with a bandwidth of 500 Hz and a signal-to-noise ratio of 5dB.
b) Switched telephone with a bandwidth of 3100 Hz and a signal-to-noise ratio of 20 dB.
Consider the angle-modulated signal
s(t) 10[cos(108 t 5sin(2 (103 )t))]
Find the maximum phase and the maximum frequency deviation.
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