Question: A model for echo generation is shown in Figure 10.20. (a) Calculate the transfer function H(z) = Y(z)/X(z) of the echo sys-tem shown above. (b)

A model for echo generation is shown in Figure 10.20.

(a) Calculate the transfer function H(z) = Y(z)/X(z) of the echo sys-tem shown above.

(b) Suppose you would like to recover the original signal x[n] from the output signal y[n] by passing it through a LTI system with transfer function R(z). What should be R(z) so its corresponding output is x[n]?

Figure 10.20:

y[n] x[n] 0.5 0.25 ২

Step by Step Solution

★★★★★

3.46 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a From the block diagram Yz Xz 05z 1 Yz 025z 2 Y z ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Questions!

The impulse response of a causal LTI discrete-time system is (a) If the input of the system is a pulse x[n] = u[n] u[n 3], determine the length of the output of the system y[n]. Graphically calculate...

An IIR filter is characterized by the following difference equation y[n] = 0.5y[n 1] + x[n] 2x[n 1], n 0, where x[n] is the input and y[n] the output of the filter. Let H(z) be the transfer...

A three-point moving-average filter is of the form: y[n] = (x [n 1] + x[n] + x[n + 1]) where and are constants, and x[n] is the input and y[n] is the output of the filter. (a) Determine the...

Research papers Reimagining branding for the new B2B digital marketplace Received (in revised form ): 13th June, 2014 DEBRA ZAHAY is Full Professor of Marketing at Aurora University, IL. She holds...

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

10.255.255.255.ii (ii) Describe the advantages of the paired de Bruijn Graph versus the non paired version of the de Bruijn Graph. [3 marks] (d) Discuss the advantages of using soft k-means versus...

Attached is the assignment requirement and 2 previous assignments as example 1- the assignment should be zero plagiarism and similarity (no copy ans paste is accepted) 2- should be completed in the...

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Locate The Walt Disney Companys 2004 annual report on the Internet and answer the following questions. 1. What is the largest liability listed in Disneys 2004 balance sheet? 2. By what percentage did...

On May 10, Renn Company sold merchandise for $4,000 and accepted the customers First Business Bank MasterCard. At the end of the day, the First Business Bank MasterCard receipts were deposited in the...

Simulate the sampling distribution of the mean. Continue the previous exercise, using software to illustrate the idea of a sampling distribution. (a) Choose 20 more SRSs of size 20 in addition to the...

=+13. Do business firms in competitive markets have a strong incentive to serve the interests of consumers?

Consider the set of keys K = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}. a. Draw a (2,4) tree storing K as its keys using the fewest number of nodes. b. Draw a (2,4) tree storing K as its keys using the...

Consider the sequence of keys (5,16,22,45,2,10,18,30,50,12,1). Draw the result of inserting entries with these keys (in the given order) into a. An initially empty (2,4) tree. b. An initially empty...

Give a proof of Proposition 11.10 Proposition 11.10 The algorithm for deleting an entry from a red-black tree with n entries takes O(log n) time and performs O(log n) recolorings and at most two...

On January 1, 2020, Mercedez Company purchased 400 of the 1,000 outstanding shares of Auto Supplies Inc. for $40,000. At that date, the balance sheet of Auto Supplies Inc. showed the following...

QUESTION 4 8 A projected negative annual cash flow indicates: a . Projected cash inflows are less than projected cash outflows. b . Net farm income will be negative. c . Depreciation expense is too...

Suppose a life insurance company sells a $220,000 one-year term life insurance policy to a 22-year-old female for $370. The probability that the female survives the year is 0.999608. Compute and...