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Using MATLAB signals and systems

textbook: computer explorations in signals and systems using Matlab

I 3.9 Frequency Response of a Continuous-Time System This exercise demonstrates the effect of the frequency response of a continuous-time system on periodic signals. You will examine the response of a simple linear system to each of the harmonics that compose a periodic signal as well as to the periodic signal itself. In this exercise you will need to use the function lsim as discussed in the Tutorial 3.3. Consider a simple RC circuit that has a system function given by H(s) 1 1 + RCS whose input is given by x(t) = cos(t), and whose output is y(t). For the problems that follow, use t=linspace(0,20, 1000) for all simulations, and assume that the time constant RC is 1. Intermediate Problems (a). Use the function 1sim to simulate the response of the system H(s) to x(t) over 05 t > x2=cos(t); >> x2(x2>0)=ones (size(x2(x2>0))); >> x2(x2> sl=apos_k(1)*exp(j*t)+aneg_k(1) *exp(-j*t); Construct the signals s1, s2, s3, s4, and s5. Plot the sum of these signals on the same graph as the square wave x2. s(t) = ={.; i, It| > x2=cos(t); >> x2(x2>0)=ones (size(x2(x2>0))); >> x2(x2> sl=apos_k(1)*exp(j*t)+aneg_k(1) *exp(-j*t); Construct the signals s1, s2, s3, s4, and s5. Plot the sum of these signals on the same graph as the square wave x2. s(t) = ={.; i, It|