Question

Analog Signal Processing & Filter Design

Instructions:

Please show how you arrived at the result.

Use 3 significant figures and scientific or engineering notation.

Use standard rounding, >0.5 in the next significant figure, round up & <0.5 round down.

Provide the numerical solution to problems (unless the problem asks for a formula or equation). e.g. don't write Ö79, write 8.89, don't write 127/9, write 14.1

For the problem below:

Please Use Matlab for plots. Label the Matlab plots, then capture and include them.

7. Plot the following function with Matlab for time = 0 to 1 second:

v=e^-5(t-.2)cos(2*pi*5(t-.2))u(t-.2)

Answer 1

Since the function is difficult to understand because of lack of brackets for the exponential, I assume that the function is:

v = (e^(-5*(t-0.2))*(cos(2*pi*5*(t-0.2)))*u(t-0.2)

The Matlab Code is as follows:

%Declaring the time interval
t = 0:0.0001:1;

%Declaring u(t-0.2)
unitstep = t>=0.2;

%Declaring the fuction v(t)
v = (exp(-5*(t-0.2))).*(cos(2*pi*5*(t-0.2))).*unitstep;

%Plotting the function and labelling the axes
figure
plot(t,v)
xlabel('0 < t < 1')
ylabel('v(t)')
title('Graph of v as a function of t')

The MATLAB graph output is as follows: