Question

Input x(t)= 3[u(t) - u(t - 1)] +2[u(t-2)-u(t- 3)] is applied to a lowpass LTIC system with impulse response h(t) = (4 - t)[u(t) - u(t - 2)] to produce output y(t) = x(t) h(t). Modify program CH2MP4.m in Sec. 2.7-4 to perform the graphical convolution procedure to produce a plot of y(t).

Present a Report including MATLAB code and output that plots y(t).

Answer 1

The engineering question is about conducting graphical convolution of signals using MATLAB to obtain and plot the output signal y(t).

Step-by-step explanation:

The student's question requires modifying a MATLAB program to perform a graphical convolution of two signals and to plot the output signal y(t). The signals in question involve step functions and their transformations. Since the student has not provided the actual MATLAB code, a standard approach would be to define the input signal x(t), the impulse response h(t), and use MATLAB's convolution function to gain the output y(t). This procedure would involve creating a vector for time t, representing the signals as arrays over t, and then graphically plotting the results.

To aid in understanding, let us consider the conceptual approach: x(t) represents the input signal, h(t) the impulse response of the system, and y(t) the output signal. By convolving x(t) and h(t), we obtain the response y(t) of the system to the input signal, which can then be graphically represented through MATLAB's plotting functionalities.