Laplace Transform & Visualization of ROC Explained With Example & MATLAB | 3.1c

The video has two sections. In section 1, an example of how to take Laplace Transform is given, in section 2 Matlab based simulation for the time- domain Interpretation of ROC is provided. MATLAB code for the example follows next %%%%% a = 1 clear all close all clc H = tf([1],[1 1]); % Coefficients for the Transfer function figure(1) subplot(1,2,1) pzmap(H) % Pole Zero plot command in MATLAB xlim([-2 2]) syms x s = sym(1); f_x = exp(-x)*heaviside(x); % function defination f_1 = exp(-(s+1)*x)*heaviside(x); figure(1) subplot(1,2,2) fplot(f_x) hold on fplot(f_1) xlim([-1 10]) ylim([0 5]) legend('x(t)','x(t)e^{-st}') title('Time Domain Plot') 00:00 Example of Laplace Transform 06:02 Time-Domain Interpretation using MATLAB