Find the convolution of the following two signals: X(t) ylt). Plot the resulting signal. 1. 0...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution, (a)Plot x(21) and«S),respectively. (c) Plot the following signal
8) Convolution Integral (7 points). Given the following signals x(t) and h(t), compute and plot the convolution y(t) = x(t) *h(t). x(t) = u(t+2) - u(t – 4) h(t) = 5u(t)e-2t
signal and systems 9. Consider the convolution of two of the following signals : | att) ht) le(n) 力。 2.5 1015年9 L. -3-2-10 2-1012 (5 points cach). a. Determine the convolution of act) and (t) : x(t)= a(t) * b(t). b. Determine the convolution of c(n) and dén): y(n)= e(n) * dín). c. Give the MATLAB code for the convolution of e(n) and dín).
answer a and b only Suppose that two continuous time signal are given by x(t) and v(t) as: x(t) = u(t) - 2u(t - 1) + u(t - 2) v(t) = u(t)- uſt - 1) Answer the following questions: (a) Plot signals x(t) and v(t). (b) Find the convolution of y(t) = x(t-3) = v(t) (c) Plot for y(t).
Circular vs. Linear ConvolutionConsider sequences(x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7])=(1,1,1,1,0,0,0,0)and(h[0], h[1], h[2], h[3], h[4], h[5], h[6], h[7])=(1,2,3,4,3,2,1,0)where x[n]=0 for n ∉\{0, …, 7\} and h[n]=0 for n ∉\{0, ..., 7\}.(a) Find the convolution of these two signals, and sketch the result.(b) Find the 8-point circular convolution of these two signals, and sketch the result.(c) Assume that each of the signals has been zero padded up to a length 16. Find the 16 -point circular convolution of these two...
Please show using MATLAB Answer 7. Obtain the convolution of the pairs of signals in Figure 7 h(t) a(t) 0 2 h(t) r(t) 0 0 Figure 7: Signal pairs Therefore, y(t) = 0 otherwise 7. Obtain the convolution of the pairs of signals in Figure 7 h(t) a(t) 0 2 h(t) r(t) 0 0 Figure 7: Signal pairs Therefore, y(t) = 0 otherwise
Calculate the convolution integral of the following signals. Find the energy and power of the input and output signals. x(t) y(t) x(t) = cos(it)[u(t + 1) – uſt – 3)] h(t) = u(t + 2) – uſt – 1) del mes h(t) de ser LTI System
2.3.5,2.3.8,2.10-2.3.12 23. (a) Convolution: 1 2-5 b) Convolution: 23.6 Find and sketch the coavolution rt)f) gt) where 2.3.7 Find and sketch the convolution z(t) = f(t)-g(t) where 2.3.8 Sketch the continmous-time signals f(e), 9(t) Find and sketch the coavolution y(t)t) git). f(t)e(t) 23.9 Using the convolation integral, ind the convolution of the signal f()-t with itself. 2.3.10 Find and sketch the convolution of and (t) 2.3.11 Sketch the continmous-time signals f(t),g(t) Find and sketch the coavolution y(t)f(t).git) f(t)-u +2)-ut-2) 2.3.12...
(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...
Matlab help 1) Given the functions x1()= tu()-tuft-1) and X2(t)=10e-5,11(), do the following: 1. Plotx,(t) and x2(0) using MATLAB 2. Use MATLAB to find and plot x(0=x:@*.x2(t), where * denotes convolution. 3. Find x(t)=x;()*X2(1) by hand using Laplace transforms. 4. Plot the result of part 3 in MATLAB and compare it to that found in part 2. 2) Given the transfer function shown below, do the following: 1. Find the system's impulse response and plot it using MATLAB 2. Repeat...