(la_7.doc)
A linear time-invariant discrete-time system has transfer function

H (z) = z² - z - 2
-----------
z² - 1.5z - 1

a. Use MATLAB to obtain the poles of the system. Is the system stable?
Explain.
b. Compute the step response using MATLAB commands like conv and residue.
c. Plot the first seven values of the step response. Is the response increasing
or decreasing with time? Is this what you would expect, and why?

(la_8.doc)

Question 1
a. Plot the Bode plots (both magnitude and phase) for the given transfer function

H (s) = 1000(s + 1)/(s+20)²

Use the command semilogx to make your plots.

b. What kind of filter is this? What is the bandwidth of the filter?

Question 2

Consider the system given by the following transfer function:

a. Identify the poles and zeros of the system.
b. Is the system stable? Why or why not?
c. What is the steady-state value for the step response.
d. Use Simulink to simulate the step response. Use the 'Zero-Pole' continuous model for the system with a gain of 242.5. For the sink, you can use the step function provided. Please include a copy of the model along with a plot of the output either from the scope or the simout variables
e. Is the steady-state value from the simulation the same as in part c?
f. Is the response more like a first-order system or a second-order system?

Problem 1:
Consider the differential equation: d2y/dt2 + (3)dy/dt +2y = u
where y(0) = dy(0)/dt = 0 and u(t) is a unit step.
1. Determine the solution y(t) analytically.
I have the following(using Laplace transform):
[s2Y(s) - sy(0)] + 3[sY(s) - y(0)] + 2Y(s) = 1/(s)
s2Y(s) + 3sY(s) + 2Y(s) = 1/(s)
Y(s)[s2 + 3s

Problem 1:
A unity negative feedback system has the open-loop transfer function.
G(s) = (s + 1)/(s3 + 4s2 + 6s + 10)
1. UsingMATLAB, determine the closed-loop transfer function.
2. UsingMATLAB, find the roots of the characteristic equation.
3. Is the system stable, marginally stable, or unstable?
4. Use ltiview to d

Consider a finite-support signal
x(t) = t 0<=t<=1
and zero elsewhere.
- UsingMatlab, plot x(t+1)
- UsingMatlab, plot x(-t+1)
- Add the above two signals together and plot the new signal y(t).

1. Use loops to create a 3 x 5 matrix in which the value of each element is the difference between the indices divided by the sum of its indices (the row number and column number of the element). For example, the value of the element (2,5) is (2-5) / (2+5) = -0.4286
2. Write the program indicated in the problem and use it to

I need a detailed script in order to show this works in MATLAB.
This problem. All I need is the circled #3 problem, but only required to do the top a) and b) graphs.

Computation of Z-transform---MATLAB
Consider a discrete-time pulse x[n]=u[n]-u[n-10].
Plot x[n] as a function of n and use the definition of the Z-transform to find X(z).
Use the Z-transform of u[n] and properties of the Z-transform to find X(z). Verify that the expressions obtained above for X(z) are identical.

I need a detailed script in order to show this works in MATLAB.
----> Kernighan and Ritchie, who created the C language, advise that, "The first program to write in any language is the same for all languages: Print the words "hello, world". This is the basic hurdle; to leap over it you have to be able to create program tex