C.14. Plot the function y = 3cos(2nt)(U(t – 0.5) – U(t – 1.5)) through t =...
Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response y(t) subject to ut) 3cos(0.5t -0.5). (Hint: use the frequency response formula.) (996) (Easy)
how do i make this function and plot it in matlab? p(t) 1.5 0.5 0.5 -1 2 2.5 3 3.5 4 4.55 0 05 5 22 Fig. 3: Training signal
Signal system 8. Consider the periodic signal x(t) = cos(2nt) + cos(2nt) I. a. Find the Fourier series coefficients for this signal. (4 points). b. If this signal passes through a LTI system with the impulse response h(t)=e* u(t), particularly, would the output signal also be a periodic signal ? If so, what would be the Fourier coefficients of the output signal ? (4 points). c. Give the mathematical expression for the output signal y(t). (2 points).
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
- y(t)=r (+)-r(t-1)-rt 3)- u(4-3) +u4-4) where r() is the ramp function. a plot y(t) b) plot z(t) c) plot y' (t) d calculate the energy of y(t) r(t)=t for t o O for tco
Find the function of each graph u(x) and then u(t) and take the laplace transformation of u(t). Knowing that x=vt Profile one (step) 0.25 02 0.15 0.1 0.05 005 0.5 0.5 1.5 ength im) Profile two (ramp) 0.25 0.2 0.15 0.05 1.5 0.5 ength im Profile three (half-sine): 0.25 0.2 0.15 0.1 0.05 0.5 1.5 length m) Profile one (step) 0.25 02 0.15 0.1 0.05 005 0.5 0.5 1.5 ength im) Profile two (ramp) 0.25 0.2 0.15 0.05 1.5 0.5...
1. (25 points) The figure below shows the contour plot of f(x,y)-3 -1 - 2y+y. (Credit for the figure is due to UMich instructors.) 6.00U 6.000 1.5 1.0 0.5 0.0 0.5 1.0 1.5 6.000 2.0-1.5-1.0-0.5 0.0 0.5 1.0 1.5 (a) Find all critical points of f. There should be six. Mark them on the contour plot. (Think, but don't write, about how to guess the critical points from the contour plot.) (b) Find f-,) v(,),and fp()-fy(, y) (c) Try to...
y = 0.5*δ(t+9) + 0.25*δ(t+3) + 0.25*δ (t-3) + 0.25*δ(t-9) how to you plot y function in MATLAB? δ is a delta function i tried to use dirac function in MATLAB i am just keep getting errors could you give me a code for the y function in MATLAB? thank you
Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%) (Easy) 3cos (0.5t-0.5). (Hint: use the Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%)...
Please use matlab for the following problem I. For the function. /(x) -X-4X+2XY+2Y+2Y+14 a. Plot the surface function for X over [5 6]. and Y over [-4, -2]. ecolour plot for X over [O 101 and Yover [43] and values for the contours of V [1 1.25 1.5 22.5 3] c. Write an m-file to find the minimum of the function using the gradient descent method Use a starting value of [4, -4]. I. For the function. /(x) -X-4X+2XY+2Y+2Y+14 a....