Question: Consider the cascade of LTI discrete-time systems shown in figure.? The first system is described by the equation? and the second system is described by

Consider the cascade of LTI discrete-time systems shown in figure.?

The first system is described by the equation?

and the second system is described by the equation?

y[n] = w[n] ? w[n ? 1].?

The input to this system is

?x[n] = cos(0.6?n) + 3?[n ? 5] + 2.?

Determine the output y[n]. .with careful thought, you will be able to use the properties of LTI system to write down the answer by inspection.

LTI system #1 LT! system # 2 w [n] x[n] y[n] Jw

LTI system #1 LT! system # 2 w [n] x[n] y[n] Jw < 0.57. Hj(ej") = { 1, 0, 0.57 < lwl < n,

Step by Step Solution

★★★★★

3.50 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

First xn goes through a lowpass filter with cutoff frequency 0... 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 (52).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Q:

Consider the cascade of two continuous-time systems shown in Figure 6.24. The input-output characterization of system A is x(t) = dz(t)/dt. It is known that system B is linear and time-invariant, and...

Q:

In what ways do you think you will be able to improve on the operations and processes of existing sandwich shops and achieve a competitive advantage through better (a) product quality, (b)...

Q:

The logistic population growth model is described by an equation of the form P(t) = PL/(1 cekt) , Where PL, c, and k > 0 are constants, and P(t) is the population at time t. PL represents the...

Q:

Consider the cascade of discrete-time systems in Figure. The time-reversal systems are defined by the equation f[n] = e[? n] and y[n] = g[? n]. Assume throughout the problem that x[n] and h 1 [n] are...

Q:

There are too many pages for chapter 3. Here are some pages for it. I think, these are relevant. Q1. Consider the problem described in the table below in which Products A, B, and C are made. The...

Q:

Consider the cascade of two LTI systems, see Figure 3.21, where the input of the cascade is z(t) and the output is y(t), while x(t)is the output of the first system and the input of the second...

Q:

the central science of chemistry The automobile fuel called E85E85 consists of 85%% ethanol and 15%% gasoline. E85 can be used in the so-called flex-fuel vehicles (FFVs), which can use gasoline,...

Q:

Figure 9.14 This is Hometown Pizzeria's statement of cash flows. (attribution: Copyright Rice University, OpenStax, under CC BY 4.0 license) You should be familiar with the Statement of Cash Flows,...

Q:

Required: 1. Record the purchase of equipment with down payment of $100,000 and the installment note of $600,000 on January 1, 2024. 2. Record the first payment of $81,905.88 on March 31, 2024. (If...

Q:

Consider a discrete - time LTI system with impulse response h [ n ] given by h [ n ] = 3 ( ( 1 ) / ( 3 ) ) ^ ( n ) u [ n ] Using DTFT find the output, y [ n ] of the system to an input x [ n ] = ( n...

Q:

The intangible assets section of Sappelt Company as of December 31, 2017 is presented below. Patents ($90,000 cost minus $9,000 depreciation) $81,000 Dealerships ($35,000 cost minus $14,000...

Q:

An aircraft wing skin panel which can be modeled as a semi-infinite plate, has an edge crack of length 0.25 mm and is subjected to typical cyclic service loads. The component of those loads that act...

Q:

- Which of the following is not a correct statement: Firms prepare their income tax returns using the Internal Revenue Code, not GAAP. A deferred tax liability can take place if a firm uses two...

Q:

The steel beam ABCD shown is simply supported at A and supported at B and D by steel cables, each having an effective diameter of 12 mm. The second area moment of the beam is I = 8(105) mm4. A force...

Q:

Byrd Company??s manufacturing overhead budget for the first quarter of 2012 contained the following data. Actual variable costs were: indirect materials $13,800, indirect labor $9,600, utilities...

Q:

The second-order rate constant for the reaction A + 2 B --7 C + D is 0.21 dm 3 mol-J S-1. What is the concentration of C after? (a) 10 s, (b) 10 min when the reactants are mixed with initial...

Q:

A Juliet Burke, a former professional tennis star, operates Juliets Tennis Shop at the Mitchell Lake Resort. At the beginning of the current season, the ledger of Juliets Tennis Shop showed Cash...

Q:

Cost allocation downward demand spiral Deli One operates a chain of 10 hospitals in the Los Angeles area. Its central food-catering facility, Deliman, prepares and delivers meals to the hospitals. It...

Q:

28. Which of the following is true of a typical contraction of the business cycle? A. Consumption is falling, but household is wealth is rising. B. Consumption is increasing. C. Private investment is...

Q:

An FIR filter is described by the difference equation y(n) = x(n) + x(n ? 10) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to theinputs ( + ) oc

Q:

Determine the transient and steady-state responses of the FIR filter shown in figure to the input signal x(n) = 10elnRu(n). Let b = 2 and y(-1) = y(-2) = y(-3) = y(-4) = 0.

Q:

Consider the FIR filter y(n) = x(n) + x(n 4) (a) Compute and sketch its magnitude and phase response. (b) Compute its response to the input x(n) = cos /2n + cos /4n -

Q:

One of your customers is delinquent on his accounts payable balance. Youve mutually agreed to a repayment schedule of $570 per month. You will charge .97 percent per month interest on the overdue...

Q:

Please show all work neatly and answers for each question. Thanks! 10. Compute a 90% confidence interval for the standard deviation of the Job satisfaction score for elementary school teacher who...

Q:

Question 7 What is the probability for having one girl and two boys if the sample space is the outcome for having three children? Next