0.4e-2 -90 0.6e/1.4 -40 0 0.5 0.6e-11.4 40 0.4/2 90 @ Figure P-3.20 (a) Determine the fundamental frequency wo of this signal. (b) Determine the fundamental period To of x (t), which is the shortest possible period. (c) Determine the DC value of this signal.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please assist with practice question P-3.20 letter b with details on how to do it. 

a, b, c, and p.
P-3.20 A real signal x(1) has the two-sided spectrum shown in Fig. P-3.20. The
frequency axis has units of rad/s.
0.4e-2
<-90
0.6e/1.4
-40
0
0.5
0.6e-j1.4
40
0.4e2
90 w
Figure P-3.20
(a) Determine the fundamental frequency wo of this signal.
(b) Determine the fundamental period To of x (t), which is the shortest possible period.
(c) Determine the DC value of this signal.
Transcribed Image Text:a, b, c, and p. P-3.20 A real signal x(1) has the two-sided spectrum shown in Fig. P-3.20. The frequency axis has units of rad/s. 0.4e-2 <-90 0.6e/1.4 -40 0 0.5 0.6e-j1.4 40 0.4e2 90 w Figure P-3.20 (a) Determine the fundamental frequency wo of this signal. (b) Determine the fundamental period To of x (t), which is the shortest possible period. (c) Determine the DC value of this signal.
98
CHAPTER 3
(d) A periodic signal of this type can be represented as a Fourier series of the form
x (t) = Σ akejwokt
k=-∞
The kth term in the series is called the kth harmonic. Determine which harmonics
(positive and negative) are present. In other words, for the Fourier series
coefficients, ak, determine which coefficients are nonzero. List the indices of the
nonzero Fourier series coefficients and their values in a table.
P-3.21 A chirn signal is one that sweens in frequenc from
7
Transcribed Image Text:98 CHAPTER 3 (d) A periodic signal of this type can be represented as a Fourier series of the form x (t) = Σ akejwokt k=-∞ The kth term in the series is called the kth harmonic. Determine which harmonics (positive and negative) are present. In other words, for the Fourier series coefficients, ak, determine which coefficients are nonzero. List the indices of the nonzero Fourier series coefficients and their values in a table. P-3.21 A chirn signal is one that sweens in frequenc from 7
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