ECE 301 - Project 2 - Continuous Convolution

ECE 301 - Project 2 - Continuous Convolution - Introduction...

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Introduction In this project, we will be using MATLAB to explain, compute, and plot continuous convolution functions. We began by working through a few introductory problems found within the note sets. Below are the plots of two continuous convolution problems using the same pulse and input systems, and both with h(t) = be -bt . In part A, however, b = 10 whereas in part B, b = 1000. This simple change, as you can see, has a great effect on the outputs on the continuous convolutions. Plots PART A:

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ECE 301 2/10/11
PART B:

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ECE 301 2/10/11
MATLAB CODE (PART A) clear Delta_t = 0.0001; t_final = 0.1; t_secs = 0:Delta_t:t_final; t_points = length(t_secs); A_e = 5.0; b = 1000.0; x_of_t = zeros(1,t_points); pulse = ones(1,100); x_of_t(1:100) = pulse; x_of_t(301:400) = 1.0*pulse; x_of_t(601:700) = -1.0*pulse; h_of_t = b*exp(-b*t_secs); y_of_t = Delta_t*conv(h_of_t, x_of_t); subplot(311) plot(t_secs, h_of_t) xlabel( 't' ), ylabel( 'h(t)' ), title( ' -- Plot of Exponential Impulse Response' ), grid on axis([-0.001 .101 -1.2 1001]) subplot(312) plot(t_secs, x_of_t) xlabel( 't' ), ylabel( 'x(t)' ), title( ' -- Plot of Unit Step Input'

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