Question

System 3 : Consider the discrete time system represented by the following difference equation: y(n) ?...

System 3 : Consider the discrete time system represented by the following difference equation:

y(n) ? x(n) ? x(n ? 2) ? 0.8y(n ?1) ? 0.64 y(n ? 2)

a) Draw the corresponding BLOCK DIAGRAM

b) Obtain the TRANSFER FUNCTION, H(z) , for this system.  

c) Calculate and plot the POLES and ZEROS of the transfer function.

d) State the FREQUENCY RESPONSE Equation ,  H(ej? ) , for this system.   

System 4 : Consider the discrete time system represented by the following difference equation:

y(n) ? x(n) ? x(n ? 2) ? 0.2y(n ?1) ? 0.04 y(n ? 2)

a) Draw the corresponding BLOCK DIAGRAM

b) Obtain the TRANSFER FUNCTION, H(z) , for this system.  

c) Calculate and plot the POLES and ZEROS of the transfer function.

d) State the FREQUENCY RESPONSE Equation ,  H(ej? ) , for this system.

Please explain clearly will rate

Engineering   Electrical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For the system given by the difference equation below: Y(n) – (3/2).Y(n-1) – Y(n-2) = -(5/2)....
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...
1. Write a MATLAB function to determine the discrete-time Fourier Transform (H(?)) of the following sequence....
1. Write a MATLAB function to determine the discrete-time Fourier Transform (H(?)) of the following sequence. Plot its magnitude and phase. You can use the dtft command and use the abs, angle and plot commands to plot the results. x(n) = {4, 3, 2, 1, 2, 3, 4}. 2. Analytically determine H(z) and plot its magnitude and phase for the following system using freqz. y(n) = 2x(n) + x(n ? 1) ? 0.25y(n ? 1) + 0.25y(n ? 2). 3....
Consider a causal LTI system described by the difference equation: y[n] = 0.5 y[n-1] + x[n]...
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.
H(z) Poles and zeros Given: y[n] = 1.674y[n-1]-0.81y[n-2]+x[n] a. Find H(z) b. Find poles and zeros...
H(z) Poles and zeros Given: y[n] = 1.674y[n-1]-0.81y[n-2]+x[n] a. Find H(z) b. Find poles and zeros c. Plot poles and zeros in z-plane
A linear time invariant system has an impulse response given by ℎ[?] = 2(−0.5) ? ?[?]...
A linear time invariant system has an impulse response given by ℎ[?] = 2(−0.5) ? ?[?] − 3(0.5) 2? ?[?] where u[n] is the unit step function. a) Find the z-domain transfer function ?(?). b) Draw pole-zero plot of the system and indicate the region of convergence. c) Is the system stable? Explain. d) Is the system causal? Explain. e) Find the unit step response ?[?] of the system, that is, the response to the unit step input. f) Provide...
(a) Show that a system with transfer function H(z) whose denominator A(z) = 1 – [2ρ...
(a) Show that a system with transfer function H(z) whose denominator A(z) = 1 – [2ρ cosθ] z-1 + ρ 2 z-2 has poles at z = ρe ±jθ (b) For what values of r is this system stable? (c) If the numerator of H(z) is B(z) = K z-1 , what is the form of its impulse response for ρ = 1? (d) If the numerator of H(z) is B(z) = K z-1 , what is the form of...
Problem 1 Consider the discrete-time LTI system characterized by the following difference equation with input and...
Problem 1 Consider the discrete-time LTI system characterized by the following difference equation with input and initial conditions specified: y[n] - 2 y[n-1] – 3 y[n-2] = x[n] , with y[0] = -1 and y[1] = 0, x[n] = (-1/2)n u[n-2]. ? Write a MATLAB program to simulate this difference equation. You may try the commands ‘filter’ or ‘filtic’ or create a loop to compute the values recursively. ? Printout and plot the values of the input signal, x[n] and...
if the transfer function H(z) of a stable LTI system has two zeros at z =1+j...
if the transfer function H(z) of a stable LTI system has two zeros at z =1+j and z = 1-j and two poles at z = 0 and z = -0.5. Write the expression of H(z), if the frequency response of the system at omega (w) where w = 0 is 1. can I have help here ?
An LTI system has an impulse answer of h[n] = a^(n)H[n], H[n] is the Heaviside step...
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...
An LTI discrete-time system has the impulse response h[n] = (1.2)^n * u[-n]. Find the system...
An LTI discrete-time system has the impulse response h[n] = (1.2)^n * u[-n]. Find the system response to a unit step input x[n] = u[n]. Please explain the shifting im having a hard time grasping the concept (especially for the U[-n+k] shift Note:u[n] is the unit step function
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT