Question: Consider the signal ?(n) = an u(n), 0? (a) Show that any sequence x(n) can be decomposed as and express ck in terms of x(n).

Consider the signal ?(n) = an u(n), 0?

(a) Show that any sequence x(n) can be decomposed as and express ck in terms of x(n).

(b) Use the properties of linearity and time invariance to express the output y (n) = T [x (n)] in term of the input x(n) and the signal g(n) = T[?(n)], where T[.] is an LTI system.

> CAyin - k) x(n) CAYin =

Step by Step Solution

★★★★★

3.33 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c 8n ynayn1 and 6n k yn k ayn ... 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

Document Format (1 attachment)

31-E-T-E-D-S-P (540).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Show that any sequence of m MAKE-SET, FIND-SET, and LINK operations, where all the LINK operations appear before any of the FIND-SET operations, takes only O(m) time if we use both path compression...

Consider a causal LTI system with impulse response h[n], and input x[n] = x 1 [n] x 1 [n 2] + x 1 [n 4] where x 1 [n] = u[n] u[n 2]. The impulse response of the system is h[n] = u[n] u[n 2] (a) Use...

Consider an LTI discrete time system with impulse response h[n] = {1,-2,3}. A discrete time input signal x[n] = {0, 1, 4, -3} is applied to the system. Determine the output sequence y[n] for x[n]...

Question 4 please, both a and b Unless otherwise noted, the alphabet for all questions below is assumed to be = {0,1). 1. [12 points] This question develops a basic understanding of CFGs and parse...

QQuestion 4 please. Question 4. Unless otherwise noted, the alphabet for all questions below is assumed to be = {0,1). 1. [12 points] This question develops a basic understanding of CFGs and parse...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

Consider the following context-free grammar of expressions E ::= n | (E, E) where n ranges over integers. (a) Present a right-most derivation of the expression ((21, 18), 17). [2 marks] (b) List the...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

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...

Derive the algorithm and draw the N = 8 flow graph for the DIT SRFFT algorithm. Compare your flow graph with the DIF radix-2 FFT flow graph shown infigure. ) x(0) X(4) xt1) x(2) X(2) wi x(3) - X(6)...

with the following characteristics: Face value of debt (in millions)... Coupon interest rate (paid annually). Years to maturity Issue price.... Recovery rate (all years). (Recovery rate is for the...

Scheduling is one of the first things you do within the project planning process. Group of answer choices True False

Three point charges are arranged at the corners of a square of side L as shown in Fig. 17-25. What is the potential at the fourth corner (point A) Taking V = 0 at a great distance? 1. 7-20 +Q L. +30

Discuss the role of technology both in the nature of the service that Netflix provides and in the environment in which it competes. Feel free to expand by drawing on any personal knowledge you may...

An organizations environment includes all the elements that lie outside its own boundarieseverything from human beings to economic phenomena. What can psychology tell us about the environment in...

Take the consumer challenge. You currently subscribe to Netflix, which allows you to rent 3 movies per week by mail; you can keep out 1 movie at a time, and the monthly charge is $16.99. Blockbuster...

Use the situational perspective on organizational behaviour to describe the growth strategies developed by Netflix and the competitive strategies adopted by both Netflix and Blockbuster. Explain how...

To what extent are these forces influencing the operations of the travel business?

Given the structure shown in Figure 4.40: (a) Determine the corresponding transfer function employing the state-space formulation. (b) Generate its transposed realization. (c) If...

Given the digital filter structure of Figure 4.39: (a) Determine its transfer function. (b) Generate its transposed realization. x(n) Fig. 4.39. 1/L -21/L Digital filter structure for Exercise 4.12....

Given the digital filter structure of Figure 4.38: (a) Determine its state-space description. (b) Compute its transfer function. (c) Show its transposed circuit. (d) Use this structure with...

QUESTION 60 Lump Sum Problem: Plug in Amounts for each given variable receive partial credit, in case your answer is incorrect. The ABC Corporation has a note receivable from a customer due in years....

Compute the NPV statistic for Project Y if the appropriate cost of capital is 11 percent. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your...

5) Based on the following information, create a Cash Flow Plan (Budget), breaking out Fixed Expenses and Variable Expenses (20 pts). Does Joe have a surplus or shortfall? (1 pt) As it stands, how...