4. The x(t) and y(t) is defined as below. x(1) (1) 3 -2 Sketch the following...
Sketch the signals with the figure given below. i. x(t+1)y(t-2) ii. x(4-t)y(2t) X(t) 1 2 3 t -1 y(t) -2 -1 1 2 -1
Problem #1 The motion of a particle is defined as x=t2-8t + 7 and y = 0.5t? + 2t-4 where x and y are in meters and t is in seconds. Determine the following: (a) The magnitude of the smallest velocity reached by the particle (b) The time, position, and direction of that velocity
Signal x(t) is given in the figure below. Using this information, sketch the following signals (MATLAB is not required) 5 4 1 0 2345 a) x(t 3) b) x(t +3) c) x(2t +3)
Consider the following continuous-time signal. x(t) = 1 for m < t < m + 1 −1 for m + 1 < t < m + 2 for m = − 4,−2, 0, 2, 4, · · · Sketch the following signals. (a) x(t) (b) y(t) = 2x(2t − 1) + 1
4 Let x(t) =-5(2t + 10) + 25(t)-056(t-2) Evaluate and sketch y(t) given by .t y(t) = | x(r)dr 13S)
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Question 3 (30 points) Consider the signals defined below: *:(t) = cos(2) xz(t) = cos(4+) a) Determine the fundamental period for each signal. b) Determine the fundamental period and fundamental frequency of the signal: y(t) = x;(C)x(0) (t) and x2(c) when the fundamental frequency is c) Determine the Fourier Series coefficients of defined as determined in part (b). d) Using Parseval's relation, determine the power of xy(t) and xy(t) e) Determine and plot the Fourier Series Coefficients of y(t). Show...
Two transverse pulses on a string represented by y(x, t) = (0.02m^3)/(2m^2 + (x - 2t)^2) y(x, t) = (-0.02m^3)/(2m^2 + (x + 2t)^2) a) sketch each wave function as a function of x at t = 0 b) what is the resultant wave at t = 0 c) what is the resultant wave at t = 1 d) sketch the wave at t = 1
Question #5: Consider the continuous-time signal shown below. x(t) -6 -4 -2 4 -2 (a) Sketch y(t) x1) (b) Sketch y(t) 2x[t- 2) (c) Sketch y(t) - 5x(t/3) (d) Sketch y(t) x(t) -x(-t)
P10.3. For the signal x(t) given below, if y(t)-x(t) then sketch, y(t), Y(w) and X(w) using Fourier Transform Properties. 3 x(t) 4 -4