please look at the fig 5.13. (a) Use the time-derivative and linearity properties to find the Fourier transform ofthe triangular waveform shown in Figure P5.13(a).(b) Use the time-derivative and linearity properties to find the Fourier transform ofthe trapezoidal signal shown in Figure P5.13(b).f(t)21f(t)-a(a)at(s)0246810(b)Figure P5.13

Answered: Image /qna-images/answer/c5eacb58-d370-4e10-9d90-88a47b3b5010.jpg

Answered: 5.13. (a) Use the time-derivative and…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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If the signal has a spectrum (Fourier transform) given in Figure Q3, draw the spectrum of the sampled signal when the sampling rate is 25% higher than the Nyquist sampling rate; draw the spectrum of the sampled signal when the sampling rate is the same as the Nyquist sampling rate. Spectrum 1 -6 f (kHz) Figure Q3
how to solve fourier series question and concepts ?
Figure P5.6.1 shows a real signal ₁ [n] and the magnitude of its Fourier transform |X₁(e). The same figure also includes the Fourier transform magnitude X₂(e) for another real signal x2[n], which is not shown in Figure P5.6.1 lux -100 0 141% 50 Time (samples) -50 Time (samples) 100 50 Time (samples) xx,(0%) Kofx 100 14% 20 lux 15 10 67 20 15 10 5 -0.5 Figure P5.6.1: Signal r₁ [n] and the Fourier transform magnitudes X₁(e) and X₂(e)| Which of the four signals in Figure P5.6.2 are consistent with the information given about 2 [n] in Fig- ure P5.6.1? You may assume that the signals are essentially zero outside the region shown. Justify your answer. Answers without justification will receive no credit. -0.5 0 Frequency (x) Frequency (') 50 Time (samples) Figure P5.6.2: Signals A[n] through ap[n] 50 Time (samples) 0.5 0.5 1 1 100 100
Briefly describe the differences between Fourier Transforms and Discrete Fourier Transforms.
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Fourier Analysis is a powerful analytical tool used in engineering. Describe why it is useful and give some physical examples where it may be implemented.What are the limitations of Fourier Analysis and explain the reasons why
Question 5 For the Discrete Time signal x[n] given below in Figure Q5, determine the Fourier Series coefficients of the signal (use the defining equation for the Fourier Series coefficients) x[n] ... -4 -2 2 4 6 Figure Q5
1) For the signals shown in below,a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f).b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f).c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f).d) What is the spectrum of the negative half-sine pulse shown in figure (c) ? Sketch amplitude spectrum of the G(f).e) Find the spectrum of the single sine pulse shown in figure (d). Sketch amplitude spectrum of the G(f).
1) For the signals shown in below, a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f). b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f). c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f). d) What is the spectrum of the negative half-sine pulse shown in figure (c) ? Sketch amplitude spectrum of the G(f). e) Find the spectrum of the single sine pulse shown in figure (d). Sketch amplitude spectrum of the G(f). g(t) g(f) -T/4 0 T/4 T/2 (b) g(f) g(t) -T/2 -T/2 0. 0. T/2 -A -A (d)
why engineers use fourier series and transform in signal processing ?
"i" i. 159 ii. Figure #3 The circuit shown in Figure #3 is supplied by the unfiltered output "v" of a full wave rectifier circuit. The Fourier expression of the voltage is given by: v = 60 + 54.08Coswt +11.18Cos3wt + 5.22Cos5wt+... 13.26 mH ww If the frequency of the AC input to the rectifier is 60 Hz, determine An expression for the current flowing through the circuit The power factor of the circuit.
15 2 13.26 mH "i" Figure #3 The circuit shown in Figure #3 is supplied by the unfiltered output “v" of a full wave rectifier circuit. The Fourier expression of the voltage is given by: v = 60 + 54. 08Coswt + 11. 18Cos3wt + 5. 22Cos5wt+... If the frequency of the AC input to the rectifier is 60 Hz, determine i. An expression for the current flowing through the circuit ii. The power factor of the circuit.

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