Question

Consider an arbitrary linear system with input x[n] and output y[n]. Show that if x[n] =...

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.

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

Homework Answers

Answer #1

h[n] is an arbitrary linear system or the transfer function.

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
Find the pole and zero values for the system whose input-output relation is given below and...
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]
Consider a system defined by the input-output relationship given below: y(t) = x(t)x(t-2) a) Is the...
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!
Solve this signal problem. Suppose the output y[n] of a DT LTI system with input x[n]...
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 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.
Consider the linear system x' = x cos a − y sin a y'= x sin...
Consider the linear system x' = x cos a − y sin a y'= x sin a + y cos a where a is a parameter. Show that as a ranges over [0, π], the equilibrium point at the origin passes through the sequence stable node, stable spiral, center, unstable spiral, unstable node.
Given a input x(t) output y(t) relation as y(t) = x(0.5+t) + e^( - | x(0.5-t)...
Given a input x(t) output y(t) relation as y(t) = x(0.5+t) + e^( - | x(0.5-t) | ). Determine the system is (a) Memoryless (b) Time invariant (c) Linear (d) Causal (e) stable.
Consider the non linear system X dot = y + x(x^2 + y^2 - 1) *...
Consider the non linear system X dot = y + x(x^2 + y^2 - 1) * sin 1 /x^2 + y^2 - 1 Y dot = - x + y(x^2 + y^2 - 1) * sin 1/ x^2 + y^2 - 1 Without solving the above equations explicitly, show that the system has infinite number of limits cycles. Determine the stability of these limit cycles (Hint : Use polar coordinates)
Consider the linear first order system [16] x′ = x + y (1) y′ =4x−2y. (2)...
Consider the linear first order system [16] x′ = x + y (1) y′ =4x−2y. (2) (a) Determine the equilibria of System (1)-(2) as well as their stability. [6] (b) Compute the general solution of System (1)-(2). [6] (c) Determine the solution of the initial value problem associated with System (1)-(2), with initial condition x(0) = 1, y(0) = 2.
For the following system: y(n) ? y(n ? 1)/? = x(n), for ? = 0.7, find...
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)
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT