Question

b) y[n] – 0.9y[n-1] +0.08y[n-2] = x[n]

For the system given by (b), plot its output y[n] for only
n=0,1,2,…,5, for an input

x[n] = nu[n] by assuming that the system was at rest before the
input was applied.

Answer #1

For an LTI system h[n], the output is given by
y[n] = 2δ[n-1],
given that
x[n] = δ[n]-2δ[n-1]+ 2δ[n-2].
a) Find the transfer function H(z) (7 Points).
b) Find the difference equation of the overall system (8
Points).
c) Given that the system is causal find h[n] (10 Points).
d) Given that the system does not have Fourier Transform, find h[n]
(10 Points).

For the system given by the difference equation below:
Y(n) – (3/2).Y(n-1) – Y(n-2) = -(5/2). X(n-1)
Find the transfer function H(z). You will need to do this
manually.
Find the poles and zeros of H(z). You can do this manually or
use MATLAB.
Plot the poles and zeros in MATLAB
Is the system stable?
Plot the impulse response of the system using MATLAB
Plot the Step Response of the system using MATLAB
Plot the frequency response of the system...

Consider a causal LTI system described by the difference
equation:
y[n] = 0.5 y[n-1] + x[n] – x[n-1]
(a) Determine the system function H(z) and plot a pole-zero pattern
in the complex z-plane.
(b) Find the system response using partial fraction expansion when
the input is x[n] = 2u[n]. Plot the result.

Consider an arbitrary linear system with input x[n] and output
y[n]. Show that if x[n] = 0 for all n, then y[n] must also be zero
for all n.

An LTI system has an impulse answer of h[n] = a^(n)H[n], H[n] is
the Heaviside step function. Obtain the output y[n] from the system
when the input is x[n]=H[n]. 2. Consider the discrete system
defined by> y[n] - ay[n-1] =x[n] Find the output when the input
is x[n] = Kb^(n)H[n], and y[-1]=y_(-1)\ Find the output when the
input is x[n] = K ẟ [n], and y[-1]=a Find the impulse response when
the system is initially at rest. Find the Heaviside...

For the following system: y(n) ? y(n ? 1)/? = x(n), for ? = 0.7,
find y(12), assuming y(n) = 0, for n? ?1.Hint: find a closed form
for y(n) and use it to find the required output sample. (x(n)=1 for
n>=0)

Solve this signal problem.
Suppose the output y[n] of a DT LTI system with input x[n] is
y[n-1] - 10/3y[n] + y[n+1] = x[n]
The system is stable and the impulse response of h[n] =
A1*(B1)^n*C1 + A2*(B2)^n*C2 is then,
What is A1?
What is B1?
What is C1?
What is A2?
What is B2?
What is C2?

Consider a system defined by the input-output relationship given
below:
y(t) = x(t)x(t-2)
a) Is the system memoryless? Why?
b) Is the system stable? Why?
c) Is the system causal? Why?
d) Is the system invertible? Show why?
e) Find the impulse response of the system.
PLEASE ANSWER ALL QUESTIONS!

Find the pole and zero values for the system whose input-output
relation is given below and show them in the z plane. Also
calculate the impulse response of this system.
y[n-1] - (10/3)y[n] + y[n+1] = x[n]

1. Given the
following segment of code: (If there is nothing output, write
None.)
int x;
int y;
cin >> x;
cin >> y;
while (x > y)
{
x -= 3;
cout << x
<< " ";
}
cout << endl;
a. What are the output and final values of x and
y when the input is 10 for x and 0 for y? [2, 2, 2]
Output
x = ______________
...

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