Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Chapter 17.8, Problem 14P
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Communication system
Let's consider a communication system where four signals with different frequencies f1, f2, f3, and f4) are combined to form a single composite signal. The composite signal is represented by the equation:
s(t) = 3 sin(500m (k, x t) + T/6) + 4 sin (10007 (kz × t) + T/4) + 2 sin(1500t (k3 X t)
+ T/3) + 5 sin(2000m(k. X t) + /2)
Given the scaling factors: kg = 0.8, kz = 1.6, k3 = 2.4, and k4 = 3.2.
Determine the fundamental frequency
a) Show whether the following signals are periodic, if so find the fundamental periods. x [n] = 4 * cos (0.3π * n) + 3 * sin ^ 2 (0.2π * n) x (t) = 2 * cos (10π ^ 2 * t) + sin (3π * t)
b) Show whether the system given the input-output relation y (t) = βx (t) + u (t) is linear, memoryless, time invariant, causal and stable. Here β is constant.
If the roots of the characteristic equation are -3,0 then the system is _________________________.
Marginally stable
Conditionally stable
Stable
Unstable
Chapter 17 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 17.1 - Let a third-harmonic voltage be added to the...Ch. 17.1 - A periodic waveform f(t) is described as follows:...Ch. 17.2 - Prob. 3PCh. 17.2 - Prob. 4PCh. 17.3 - Prob. 5PCh. 17.3 - Prob. 6PCh. 17.4 - Prob. 7PCh. 17.5 - Prob. 8PCh. 17.5 - Prob. 9PCh. 17.6 - Prob. 10P
Ch. 17.6 - Prob. 11PCh. 17.7 - Prob. 12PCh. 17.7 - Prob. 13PCh. 17.8 - Find (a) F5sin23t); (b) FAsin20t); (c)...Ch. 17.9 - Prob. 15PCh. 17.10 - Prob. 16PCh. 17 - Determine the fundamental frequency, fundamental...Ch. 17 - Plot multiple periods of the first, third, and...Ch. 17 - Calculate a0 for the following: (a) 4 sin 4t; (b)...Ch. 17 - Prob. 4ECh. 17 - Prob. 5ECh. 17 - Prob. 6ECh. 17 - Prob. 7ECh. 17 - With respect to the periodic waveform sketched in...Ch. 17 - Prob. 9ECh. 17 - Prob. 10ECh. 17 - A half-sinusoidal waveform is shown in Fig. 17.31,...Ch. 17 - Plot the line spectrum (limited to the six largest...Ch. 17 - Prob. 13ECh. 17 - Prob. 14ECh. 17 - Prob. 15ECh. 17 - Prob. 16ECh. 17 - Prob. 17ECh. 17 - Prob. 18ECh. 17 - The nonperiodic waveform g(t) is defined in Fig....Ch. 17 - Prob. 20ECh. 17 - Prob. 21ECh. 17 - Prob. 22ECh. 17 - Prob. 23ECh. 17 - Prob. 24ECh. 17 - Prob. 25ECh. 17 - Prob. 26ECh. 17 - Prob. 27ECh. 17 - Prob. 28ECh. 17 - Prob. 29ECh. 17 - Prob. 30ECh. 17 - Prob. 31ECh. 17 - Prob. 32ECh. 17 - Prob. 33ECh. 17 - Prob. 34ECh. 17 - Prob. 35ECh. 17 - Prob. 36ECh. 17 - Use the Fourier transform to obtain and plot the...Ch. 17 - Prob. 38ECh. 17 - Prob. 39ECh. 17 - Prob. 40ECh. 17 - For g(t) = 3etu(t), calculate (a) G(j); (b) ().Ch. 17 - Prob. 42ECh. 17 - Prob. 43ECh. 17 - Prob. 44ECh. 17 - Prob. 45ECh. 17 - Prob. 46ECh. 17 - Find F(j) if f(t) is given by (a) 2 cos 10t; (b)...Ch. 17 - Prob. 48ECh. 17 - Prob. 49ECh. 17 - Prob. 50ECh. 17 - Prob. 51ECh. 17 - Prob. 52ECh. 17 - Prob. 53ECh. 17 - If a system is described by transfer function h(t)...Ch. 17 - Prob. 55ECh. 17 - (a) Design a noninverting amplifier having a gain...Ch. 17 - Prob. 57ECh. 17 - Prob. 58ECh. 17 - Prob. 59ECh. 17 - Prob. 60ECh. 17 - Prob. 61ECh. 17 - Prob. 62ECh. 17 - Design an audio amplifier with gain of 10, using...
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