Question

Question 2: Consider the following DT signal: g[n] = 2 u[-n – 3] * a[n+3], a) Find the convolution sum in the time domain (s

b) Consider an LTI system with an input of x[n] and impulse response of h[n] as given below: 2, if n = -1 1, if n=0 x[n] = 3-

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Q: 2 @ Solution, Pg 1 y no E- Karo m) hm-k). 2 Leer flere am) 2 en c-n-3) they (l<? aku (-K-3) hm) uh+3) h (k) z uck+3) avel(6) 1 รา) (10) 3 am) XL 1 3 - 1 32 - 2 4 hn) 3 4 pg 3 al 1 2 3 h(n) z 13 3 1 2 1 4 * un ) = 2. -2,3-4 e a they - By linear cog(n) 2 2 - -29 -5 o 13 8 -16% 4 시 yo) 도 8 6 2 4 C - 2 AL 2. 5 - 2. -5 Pg4 - ls -6.

Add a comment
Know the answer?
Add Answer to:
Question 2: Consider the following DT signal: g[n] = 2 "u[-n – 3] * a[n+3], a)...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n)...

    CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...

  • QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to...

    QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...

  • Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with th...

    Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with the impulse response h[n]1.5un un - 6]) of an LTI system S. Is the output periodic? Why or why not? Please explain. Use MATLAB to compute the convolution as a sum ofechoes of the input signal x[n] = cos () with the impulse response h[n]1.5un un - 6]) of an LTI system S. Is the output periodic? Why or why not?...

  • (Convolution DT) consider the following LTI system with input x[n] and output y[n]: (a) sketchbthe input...

    (Convolution DT) consider the following LTI system with input x[n] and output y[n]: (a) sketchbthe input signal x[n] = (1/2)^n(u[n])

  • Consider the LTI system described by the following impulse response: (a) h(n) = 2(0.5)n u(n). Determine:...

    Consider the LTI system described by the following impulse response: (a) h(n) = 2(0.5)n u(n). Determine: (i) The system function representation; (ii) the difference-equation representation (Note: this is just terminology that refers to expressing the input and output time-domain signals in the form of an equation. E.g., what we did when we went over the equations for block diagrams); (iii) The pole-zero plot, sketched by hand; and (iv) the output y(n) if the input is x(n) = (0.25)n u(n) [10...

  • Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convol...

    Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI system with input x (o] and impulse response h (o] specified as follows. x [n] = 2"u [-n] h [n] -u [n] Find the output y [n] using convolution sum. Q4. Consider the two sequences x [n] = [0 otherwise h[n] = {00 otherwise α>1 calculate the convolution of two signals. Q5. Consider an L'TI...

  • QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist...

    QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...

  • (1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below,...

    (1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)

  • Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]....

    Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...

  • Consider the signal x[n] and the impulse response h[n] defined below: x[n] = u[n] − u[n...

    Consider the signal x[n] and the impulse response h[n] defined below: x[n] = u[n] − u[n − 49] h[n] = u[n] − u[n − 3]. Sketch y[n] = x[n] ∗ h[n] (the convolution of x[n] and h[n]). You must justify your answer by showing some intermediate calculations and/or sketches.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT