1. Assume y(t)x(th(t), where x(0) and h(t) are shown below (a) By foldi ng and sliding...
For b.), it is from 20 to -20. Not 10 to -10 3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB to ver 3. (40 points) Consider the time signals shown in Figure3 h(t) 10 z(t) 2 -10 Figure 3 Find y(t)-h(t)sz(t) using the graphical approach of the convolution integral (by hand). You can use MATLAB...
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
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.
The wave equation can be written as:∂^2 y/∂x^2 = 1/v^2 (∂^2 y /∂t^2) where y = y(x,t) has units of meters, x is also in meters, and t is in seconds. (a) Show explicitly that the function y(x,t) = ymsin(kx)cos(wt) satisfies the wave equation (6 points). (b) Is the function for y = y(x,t) describe a traveling wave? You must explain your answer to get full credit (2 points). 8. On a winter day with a temperature of Tc, the...
2.4. Compute and plot y[n] - x[n] * h[n], where x[n] - 0, otherwise 1. 4 sn s 15 0, otherwise h[n] = 2.6. Compute and plot the convolution y[n] - x[n] * h[n], where 2.1. Let x[n] = δ[n] + 2δ[n-1]-δ[n-3] and h[n] = 2δ[n + 1] + 2δ[n-l]. Compute and plot each of the following convolutions: (a) y [n] x[n] * h[n] (c) y3 [n] x[n] * h[n + 2]
Please Write clearly. Thank you 2.10 Functions x(t) and h(t) are both rectangular pulses, as shown in Fig. P2.10. Apply graphical convolution to determine y(t) = x(t) *h(t) given the following data. (a) A=1, B= 1, T1 = 2 s, T2 = 4s (b) A=2, B=1, T1 = 4s, T2 = 2 s *(C) A=1, B = 2, T1 = 4s, T2 = 2 s. x(0) h(t) A- B- 0 0 t(s) t(s) 0 Τι 0 T2 Figure P2.10: Waveforms...
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...
- 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the solution of this IVP. 1+x? b) Use Euler's method to numerically approximate the solution to this IVP over the interval [0,2] in x. Set the mesh width h=0.1. Calculate the true values of y atthe appropriate values of x as well as the error in your numerical approximation. Report your results in the table given. Report answers to four decimal places. Numerical Actual y...
D1. For x(t) and h(t) shown here, solve for the numerical value of y(t=1.5). ht) -1 -0.25 1.25 Enter answer...
1. Evaluate and sketch the convolution integral (the output y(t)) for a system with input x(t) and impulse response h(t), where x(t) = u(1-2) and h(t)= "u(t) u(t) is the unit step function. Please show clearly all the necessary steps of convolution. Determine the values of the output y(t) at 1 = 0,1 = 3,1 = 00. (3 pts)