102project

102project - 1 Compute and plot the amplitude and phase...

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1. Compute and plot the amplitude and phase spectrum of H 1 ( iw ), impulse response h 1 (t) and step response g 1 (t): Ts=.01; t=[0.0:Ts:50]; num1=[1000]; den1=[1 1 1000]; sys1=tf(num1,den1); %Compute impulse response using matlab h1=impulse(sys1,t); plot(t,h1); %Input my calculated impulse response h1Calc = 31.6267 * exp(-1/2*t).*sin(31.6188*t); plot(t, h1Calc, t, h1); %Compute unit step response using matlab g1= step(sys1,t); %Input my calculated unit step response g1Calc = 1-exp(-1/2*t) .* ( 1/63.2376 * sin(31.6188*t) + cos(31.6188*t) ) plot(t,g1, t, g1Calc); %Plot amplitude and phase spectra bode(num1,den1);
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Figure 1: Shows the amplitude and phase spectra of H 1 . The top plot is the amplitude (magnitude vs angular frequency) and the bottom plot is the phase (phase vs angular frequency). Figure 2: Shows the impulse response and plots h 1 (t) vs t (sec). Figure 3: Shows the unit step response and plots g 1 vs t (sec).
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2. Compute and plot y 1 (t): %Compute y1 x1=ones(1000,1); y1=conv(x1,h1)*Ts; plot(y1); %Input my calculated y1 y1Calc = ( 1-exp(-1/2*t) .* (1/63.2376 * sin(31.6188*t) + cos(31.6188*t) ) ) .* heaviside(t) - (1-exp(-1/2*(t-10)) .* ( 1/63.2376 * sin(31.6188*(t-10)) + cos(31.6188 *(t-
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This note was uploaded on 10/07/2011 for the course EE 102 taught by Professor Levan during the Spring '08 term at UCLA.

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102project - 1 Compute and plot the amplitude and phase...

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