Electric Circuits Plus Mastering Engineering with Pearson eText 2.0 - Access Card Package (11th Edition) (What's New in Engineering)
11th Edition
ISBN: 9780134814117
Author: NILSSON, James W., Riedel, Susan
Publisher: PEARSON
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Chapter 16, Problem 20P
To determine
Derive the Fourier series expression in the given form for the periodic function.
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5. In the figure, v(t) = m(t)ej2nfct where the message signal is m(t): = Acos (2πfmt) and the carrier signal is
vc(t) = 2e−j(2nfct+0) where 0 is constant and 0 < fm
= cos (2π x 10t+ 0) where 0 is random with a probability density
E [0, 2π), and f(0) = 0 otherwise. v,(t) passes through a linear filter below.
2. Consider a random process v(t)
function f(0) = 1/(2) for
vi(t)-
H(f)
vo(t)
Determine
(a) (5%) vo(t);
(b) (10%) autocorrelation function of v(t);
(c) (8%) power spectral density function of vo(t);
(d) (7%) power of vo(t).
1
=
H(f)
2πf2+1
4. Consider v(t) = 2 cos(t) + 5 sin(2t) passes through a linear system with frequence response H(f).
3
vi(t)
Determine
(a) (10%) vo(t);
(b) (5%) power of vo(t).
H(f)
→ vo(t)
H(f)=
3,
Ifls-
4π
(0, otherwise.
Chapter 16 Solutions
Electric Circuits Plus Mastering Engineering with Pearson eText 2.0 - Access Card Package (11th Edition) (What's New in Engineering)
Ch. 16.2 - Objective 1–Be able to calculate the trigonometric...Ch. 16.2 - Prob. 2APCh. 16.3 - Derive the Fourier series for the periodic voltage...Ch. 16.4 - Compute A1 – A5 and θ1 – θ5 for the periodic...Ch. 16.5 - The periodic triangular-wave voltage seen on the...Ch. 16.5 - The periodic square-wave shown on the top is...Ch. 16.6 - a. 16.7 The periodic voltage function in...Ch. 16.8 - Derive the expression for the Fourier coefficients...Ch. 16.8 - Calculate the rms value of the periodic current in...Ch. 16.9 - Prob. 10AP
Ch. 16 - Prob. 1PCh. 16 - Derive the Fourier series for the periodic voltage...Ch. 16 - Find the Fourier series expressions for the...Ch. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Derive the Fourier series for the periodic...Ch. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Derive the Fourier series for the periodic...Ch. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 -
Show that for large values of C Eq. 16.24 can be...Ch. 16 - Prob. 28PCh. 16 - Prob. 30PCh. 16 - Prob. 32PCh. 16 - The periodic current shown in Fig. P16.33 is...Ch. 16 - The periodic voltage across a 10 Ω resistor is...Ch. 16 - The triangular-wave voltage source, shown in Fig....Ch. 16 - Prob. 36PCh. 16 -
Find the rms value of the voltage shown in Fig....Ch. 16 - Use the first four nonzero terms in the Fourier...Ch. 16 -
Estimate the rms value of the periodic...Ch. 16 -
Estimate the rms value of the full-wave rectified...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Prob. 45PCh. 16 - Prob. 46PCh. 16 - Prob. 48PCh. 16 - Make an amplitude and phase plot, based on Eq....Ch. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - A periodic function is represented by a Fourier...Ch. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Prob. 57P
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