Question: A causal LTI system has the system function (a) Find the impulse response of the system, h[n]. (b) Find the output of this system, y[n],

A causal LTI system has the system function

(a) Find the impulse response of the system, h[n].

(b) Find the output of this system, y[n], for the input

x[n] = ej(?/2) n.

1+ 2z- +2? H(z) = (1 + 2-1) (1 - 2-1)

1+ 2z- +2? H(z) = (1 + 2-1) (1 - 2-1)

Step by Step Solution

★★★★★

3.48 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b H 2 Taking ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

30-E-T-E-D-S-P (106).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Q:

A causal LTI system has impulse response h [n], for which the z-transform is, (a) What is the region of convergence of H (z)? (b) Is the system stable? Explain. (c) Find the z-transform X(z) of an...

Q:

A discrete-time causal LTI system has the system function. (a) Is the system stable? (b) Find expressions for a minimum-phase system H 1 (z) and an all-pass system H ap (z) such that H(z) = H 1 (z) H...

Q:

A causal LTI system has a system function (a) Is this system stable? (b) If the coefficients are rounded to the nearest tenth, would the resulting system best able? 1 H(2) = 1- 1.042-1 +0.98z-2

Q:

Consider the difference equation representing a causal LTI system y[n] + (1/) y[n 1] = x[n 1]. (a) Find the impulse response of the system, h[n], as a function of the constant a. (b) For what range...

Q:

A cat hat moves in a uniform circular motion when she tries to chase her laser; she has a centripetal acceleration of 13m/s^2. If the radius of her motion is 0.02m, what is the frequency of the motion

Q:

QA2 a) The input sequence, x[n] to a finite impulse response discrete-time system and its corresponding output sequence, y[n], are: x[n] = 2,3,3,0,0,... y[n] = 2,7,15,19,15,6,0,0,... Determine the...

Q:

The following problems relate to the response of LTI discrete-time systems. (a) The unit-step response of a LTI discrete-time system is found to be s[n] = (3 3(0.5) n+1 )u[n]. Use s[n] to find the...

Q:

A discrete-time IIR system is represented by the following difference equation y[n] = 0.15y[n2]+x[n], n 0 where x[n] is the input and y[n] is the output. (a) To find the impulse response h[n] of the...

Q:

this is Matlab code and I am including two pictures, the first one has the main idea but my question is about number 3 and what the function should look like. We are given two different audio files,...

Q:

A commonly used numerical operation called the first backward difference is defined as y[n] = (x[n]) = x[n] x[n 1], where x[n] is the input and y[n] is the output of the first-backward-difference...

Q:

Lamonda Corp. uses a job order cost system. On April 1, the accounts had balances as shown in the T-accounts below: The following transactions occurred during April: (a) Purchased materials on...

Q:

From what I understand, when you send information to a website over SSL, you encrypt the information you send with their public key. However, if you want to be able to decrypt the information they...

Q:

What are the three elements that must be met in order for a partnership to exist?

Q:

A linear time-invariant system with frequency response H(?) is excited with the periodic input,?suppose that we compute the N-point DFT Y(k) of the samples y(n), 0 ? n ? N ? 1? of the output...

Q:

Comprehensive variance analysis (CMA) Iceland, Inc. is a fast-growing ice-cream maker. The companys new ice-cream flavor, Cherry Star, sells for $8 per pound. The standard monthly production level is...

Q:

To ascertain the stability of vitamin C in reconstituted frozen orange juice concentrate stored in a refrigerator for a period of up to one week, the study Vitamin C Retention, in Reconstituted...

Q:

The thermal characteristics of a small, dormitory refrigerator are determined by performing two separate experiments, each with the door closed and the refrigerator placed in ambient air at T = 25C....

Q:

Americus Camera Shop uses the lower-of-cost-or-market basis for its inventory. The following data are available at December 31. InstructionsDetermine the amount of the ending inventory by applying...

Q:

A certain lightning bolt moves 40.0 C of charge. How many fundamental units of charge |q e | is this?

Q:

Determine the parameters {Km} of the lattice filter corresponding to the FIR filter described by the system function H(z) = A2(z) = 1 + 2z 1 + z 2

Q:

(a) Determine the zeros and sketch the zero pattern for the FIR lattice filter with parameters K1 = , K2 = -1/3, K3 = 1 (b) The same as in part (a) but with K3 = -1. (c) You should have found that...

Q:

Consider an FIR lattice filter with coefficients K1 = 0.65, K2 = 0.34 and K3 = 0.8. (a) Find its impulse response by tracing a unit impulse input through the lattice structure. (b) Draw the...

Q:

Powder Mountain (PM) ski resort is currently using a Skidata barcode ticketing system. PM purchased the system three years ago for $1 million. The system includes barcode scanners and point-of-sale...

Q:

Microbiotics currently sells all of its frozen dinners cash on delivery but believes it can increase sales by offering supermarkets 1 month of free credit. The price per carton is $90, and the cost...

Q:

2.1.3 Question Help A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 3, 15, 18, 6, and 2 @ respectively. Using percentages, what are the relative frequencies of the...