Show that the average power of the CT periodic signal x(t ) = D e[j(ωt + θ)] is given by |D|2
Please Show all the steps and explain (Do not use Vrms or Irms)
Show that the average power of the CT periodic signal x(t ) = D e[j(ωt +...
The Signal x(t)= e^(j*(3pi/2)*t)*cos((5pi/2)*t)+j*sin(pi*t) i) show that x(t) is periodic and what is the fundamental period? ii) What is the average value and power of x(t)?
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...
2) The exponential Fourier series of a periodic signal x(t) is given as x(t) = (4 + j3)e-j6t + j3e-j4t + 2 - j3ej4t + (4 - j3) jót a) What is the fundamental frequency? b) By inspection write the signal x(t) in a compact trigonometric form. c) Find the power of the signal.
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
Let x(t) a periodic signal with period To such that x(t)-sin(coot) for。st for To/2 s t s To. To2 and x(t)-0 a) Plot x(t) b) Expand x(t) in trigonometric Fourier series (sine/cosine). c) Calculate the average power of x().
2- In cach of the following, we specify the Fourier series coefficients of a CT signal that i periodic with period To 4. Determine the signal x(t) in each case k 0 a) a sin ,k 0 km -j= ei= (j* = e#. Hint: using Euler's formula: Jkl3 jk b) a fo.0therwise -4 (1,k even c) a 2.k odd Hint: Suppose x(t) 8(t-kT) ke- is an impulse train with impulses spaced every T seconds apart (Figure 2). This is a...
/15 Problem #5: Chapter 2 Exercise 66 page 78. a,c,e Find the average signal power of each of these signals (a) x(t) 2sin(200xt) (c)x(t) lo0 (e) x(t)--3sgn(2(1-4) /15 Problem #5: Chapter 2 Exercise 66 page 78. a,c,e Find the average signal power of each of these signals (a) x(t) 2sin(200xt) (c)x(t) lo0 (e) x(t)--3sgn(2(1-4)
11. Giving the following periodic signal of period T-4, (answer by inspection) x(t) 2 6 -1 a. Its average value is ao 0 b. It is an even signal. c. The trigonometric FS coefficient an 0 d. The trigonometric FS coefficient b,-0. e. Choices a, and c are true. f. Choices a, and d are true. g. None of the above. Show transcribed image text
Please show all steps and show neat work. thanks 4) For the periodic signal below, find the compact trigonometric Fourier series and sketch the amplitude and phase spec ra. If either sine or cosine terms are absent in the Fourier series, explain why -T π /4
please 3.59. (a) Suppose x[n] is a periodic signal with period N. Show that the Fourier series coefficients of the periodic signal are periodic with period N. (b) Suppose that x() is a periodic signal with period T and Fourier series coeffi cients a with period N. Show that there must exist a periodic sequence g[n] such that (c) Can a continuous periodic signal have periodic Fourier coefficients? 3.59. (a) Suppose x[n] is a periodic signal with period N. Show...