Take the periodic input with period 4, and values in the range of indices 0, to 3 given as х 3D {1, —1, 2, -1}. -Find its Fourier series representation. Discuss the energy in different harmonics. Which harmonic has the highest frequency. Discuss why this makes sense. How does the energy of harmonics relate to the power of the signal. - Consider the system H, with the input x, and output y, and with the input-output relationship v(n) = Lr(n) – a(n – 1). |-Find the transfer function of the system. Sketch its poles and zeros, and discuss what type lof system H is

Take the periodic input with period 4, and values in the range of indices 0, to 3 given as х 3D {1, —1, 2, -1}. -Find its Fourier series representation. Discuss the energy in different harmonics. Which harmonic has the highest frequency. Discuss why this makes sense. How does the energy of harmonics relate to the power of the signal. - Consider the system H, with the input x, and output y, and with the input-output relationship v(n) = Lr(n) – a(n – 1). |-Find the transfer function of the system. Sketch its poles and zeros, and discuss what type lof system H is

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...

See similar textbooks

Similar questions

Representing a signal (image) in a Fourier series representation with a complex exponential function. Also draw the magnitude plot and phase plot of the resulting Fourier series coefficients. (Using Simple ways, use he Euler Formula)
a. Show that 2-D discrete Fourier Transform of a M × N digital image is periodic.That is, you must prove that F(u + M, v + N) = F(u, v). b. Suggest two methods to bring the frequency origin of a discrete Fourier Transform of an image to the center ofthe 2-D array of frequency plane.
Consider the periodic signal ?(?) given by the expression x(t) = (2 + 2j)[e^(−j3t)] – 3j[e^(−j2t)] + 5 +3j(e^(j2t) + (2 – 2j)e^(j3t) . a) What is the fundamental frequency of x(t)? b) Find and plot the magnitude and phase of the Fourier series coefficients as a function of frequency. c) Is x(t) a real signal? Why? d) Compute the total power of x(t) using Parseval’s relation.
Find the Continuous-Time Fourier Series coefficients for the following continuous-time signal: ?(?) = ? 0 < ? < 4 with a fundamental period of ? = 4
1. What does the Fourier series analysis tells us about digital signal? Explain your answer. 2. Explain why digital signals are also prone to attenuation. 3. Does a PCM signal have a smaller bandwidth? Why or Why not? 4. Why digital signals are more immune to noise than analog signals?
An analog signal xa(t) has a continuous fourier transform that follows the attached image. If the signal is sampled at 600 samples/sec, the DTFT is the second image. What's the sketch of the spectrum Xa(F) of the origial analog signal?
Find the Fourier series representation for the current waveform shown
Find the Fourier coefficients c0, c1, c2, c3 for the discrete time signal given as x [n] = [4,5,2,1]. and plot the amplitude and power density spectra for the sign x [n].
a. Which of the following is true? The Fourier transform of a unit rectangular pulse is A. real. B. not oscillating. C. complex. D. neither real nor complex. b. Which of the following is true? For system and signal operations, the symbol “*” is typically shared between A. convolution and complex conjugate. B. linear combination and complex conjugate. C. orthogonality and complex conjugate. D. multiplication and complex conjugate. c. Which of the following is true? The Fourier transform is based on A. The Fourier series by substituting the signal x(t) into Fourier coefficient’s expression. B. The Fourier series by substituting the Fourier coefficient’s expression into a random signal which is periodic over a defined period. C. The Fourier series by substituting the Fourier coefficient’s expression into x(t). D. The Fourier series because this is a logical process.
Consider the following discrete time signal periodic with N?[?]=1+sin(2??)?+3cos(2??)?+cos(4???+?2)Find the Fourier series representation of ?[?], i.e. find the Fourier series coefficients ?0, ?−1, ?1, ?−2 and ?2.
A signal consists of a fundamental frequency of 500 Hz, and the lowest five harmonics: 1000 Hz, 1500 Hz, 2000 Hz, 2500 Hz, 3000 Hz. a) What is the Nyquist frequency? b) What is the minimum sampling frequency? c) What is the maximum frequency resolution? d) What is the minimum number of samples? e) What is the minimum number of samples for Fast Fourier Transformation?
Consider the periodic impulse train δT0 (t)shown below and defined by (a) Determine the complex exponential Fourier series ofδT0 (t) (b) Determine the trigonometric Fourier series ofδT0 (t)