- y(t)=r (+)-r(t-1)-rt 3)- u(4-3) +u4-4) where r() is the ramp function. a plot y(t) b)...
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...
write a matlab script for a generic ramp function r(t) then plot for y=ramp(t,3,0). The variable t is in the interval-5<t<5 and increments in steps of 0.01 function y = ramp(t,m,ad). %t= time support, m= ramp slope, ad = signal advance(positive)/delay(negative)
please answer all parts.
) Given the function rt) (3+t)i+ VI-Ij a) Calculate r'(). b) Convert r(t) to a function in the form y f(x). c) Sketch the graph of y f(x). d) Use the tangent vector r'(5) to find the orientation of the curve and show the direction of the graph in step c).
) Given the function rt) (3+t)i+ VI-Ij a) Calculate r'(). b) Convert r(t) to a function in the form y f(x). c) Sketch the graph...
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area of S (c) Express f(x, y, z in terms of u and v and evaluate Is f(x, y,z) ds. (a) Tu n(u,v)- T, (b) Area(S)- (c) JIs f(z, y,2) ds-
1 point)...
please do on paper then program
3. Sampling. Write a function to generate samples of the ramp function y 5 (a) Write a mathematical expression for y. Use piece-wise linear notation. Suppose we want to create a plot of the ramp function from t- o to t=2 using a step of 0.1. (b) Write the numbers that need to be created and stored for the t-samples and the y-samples. Note: Write them all out. Don't be lazy! (c) Write a...
() At)x()B(f)u() Consider the following time-varying system y(t) C(f)x(t) where x) R", u(t)E R R 1 1) Derive the state transition matrix D(t,r) when A(f) = 0 0 sint 2) Assume that x(to) = x0 is given and u(f) is known in the interval [to, 4] Based on these assumptions, derive the complete solution by using the state transition matrix D(f, r). Also show that the solution is unique in the interval [to, 4]. 3) Let x(1) 0 and u(f)...
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4
Consider the continous time signal...
2(a). Compute and plot the convolution of ytryh)x where h(t) t)-u(t-4), x(t)u(t)-u(t-1) and zero else b). Compute and plot the convolution y(n) h(n)*x (n) where h(n)-1, for 0Sns4, x(n) 1, n 0, 1 and zero else.
Given the functions below, use MATLAB to plot x2(t), x4(t/2), x6(2t) x2(t) u(sin(t)) x4(t)rt)r(t - 2) 2u(t - 4) x6 (t) 3 sgn(t) rect(t/4) 28 (t 1) 36(t - 3)
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is unit ramp signal]. And sketch the following i. yl(t)=x[-1-2) ii. y2(t)=x[3-t] 15 Marks