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:

Analog Signal Processing & Filter Design
Please answser problem 1 below for parts a, b, c, and d. Please
show all work written out, and matlab code for checking the
problems with matlab.
1. Find the roots of the following polynomials and
write them in factored form:
a. s2 + 4s + 4 (Use the quadratic equation and check
with Matlab)
b. s2 + 2s + 10 (Use the quadratic equation and check
with Matlab)
c. s3...

PLEASE USE MAT LAB ONLY. THANK YOU
(a) Create and plot the signals listed below and save your
Matlab code in a script file.
i) Cosine signal of frequency 100 Hz over the range [0,0.1]
seconds and samples spaced 10^- 4 seconds apart with a phase of
pi/2 and an amplitude of 1.
PLEASE USE MAT LAB ONLY. THANK YOU
ii) A square wave that oscillates between 0 and 1 every five
samples, plot 3 periods of the waveform.
iii)...

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