3. Consider the time function x(t) shown in the figure below 12 (1) X 10 00...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
3. Consider the time function x(t) shown in the figure below 12 (1) X 10 00 6 st 4 2 2 x(t) = at², t≤s 3 mom 4 5 Time t (seconds) x(t) = 10, t > 5 6 9 10 Suppose this signal is sampled every T = 0.5 seconds, beginning at t = 0, to obtain the discrete- time signal x = x(KT). Find the z-transform X(z) of x using the following steps = (a) Express the signal x(t) in terms of the unit step u(t), unit ramp r(t) tu(t), and the unit acceleration a(t) = t² u(t). (b) Use the answer in (a) to obtain a closed-form expression for .xk (c) Compute the z-transform X(z) of x using the transform tables in the text, and any other properties of the z-transform that you might need (we listed many of these in class). (d) Use X(z) and the Final Value Thm to compute lim. Does this result agree with what you expect from x(t)? If not, there is a good chance that you solved (c) incorrectly! 3. Consider the time function x(t) shown in the figure below 12 (1) X 10 00 6 st 4 2 2 x(t) = at², t≤s 3 mom 4 5 Time t (seconds) x(t) = 10, t > 5 6 9 10 Suppose this signal is sampled every T = 0.5 seconds, beginning at t = 0, to obtain the discrete- time signal x = x(KT). Find the z-transform X(z) of x using the following steps = (a) Express the signal x(t) in terms of the unit step u(t), unit ramp r(t) tu(t), and the unit acceleration a(t) = t² u(t). (b) Use the answer in (a) to obtain a closed-form expression for .xk (c) Compute the z-transform X(z) of x using the transform tables in the text, and any other properties of the z-transform that you might need (we listed many of these in class). (d) Use X(z) and the Final Value Thm to compute lim. Does this result agree with what you expect from x(t)? If not, there is a good chance that you solved (c) incorrectly!
Expert Answer:
Answer rating: 100% (QA)
a Expressing xt in terms of unit functions Given that xt t2 for 0 t 5 xt 10 for t 5 ... View the full answer
Related Book For
Auditing a risk based approach to conducting a quality audit
ISBN: 978-1133939153
9th edition
Authors: Karla Johnstone, Audrey Gramling, Larry Rittenberg
Posted Date:
Students also viewed these business communication questions
-
Let = (r m - r f ) / m be the market risk price and * = (r m - r f ) / 2 m = / m , where m is the standard deviation of market portfolio returns. If P it is the price of stock i at times t = 0,...
-
Eric is the president and chief executive officer of his own management consulting firm. He has five employees: Jon Jones, Lupe Bana, Austin Pei, Diane Driscoll, and Yu Chung Wright. Selected...
-
Joe Bell, president and chief executive officer of Dyna Golf, has called a meeting of the executive committee of his board of directors. He is concerned about the price competition and declining...
-
The income statement information for 2010 and 2011 of the Connor Company (a sole proprietorship) is as follows: Required Fill in the blanks labeled (a) through (g). All the necessary information is...
-
Explain the difference between service cost and past service cost.
-
During 2015, Shorts Company had the following transactions: a. Purchased $200,000 of 10-year bonds issued by Makenzie Inc. b. Acquired land valued at $70,000 in exchange for machinery. c. Sold...
-
What is equity capital? Explain the advantages to the firm of raising capital this way. What are the disadvantages?
-
Figure illustrates the practice of international dumping by British Toys, Inc. (BTI). Figure (a) shows the domestic demand and marginal revenue schedules faced by BTI in the United Kingdom (UK), and...
-
Summit Corporation manufactures machines for the apparel industry. The production manager and cost analyst reviewed the accounts for the previous quarter and have provided an estimated breakdown of...
-
When possible, compute the truth values of the simple components in the following compound propositions. If no truth value can be computed, write a question mark (?) under the letter or letters with...
-
R5.5 What do these code fragments print? a. int n = 1; int m = -1; if (nm) { System.out.print(n); } else { System.out.print(m); } b. int n = 1; int m = -1; if (nm) { System.out.print(n); } else {...
-
Wingate Company, a wholesale distributor of electronic equipment, has been experiencing losses for some time, as shown by its most recent monthly contribution format income statement: Sales Variable...
-
What are the psychological effects of prolonged exposure to social networks, particularly with regard to social comparison and digital validation ?
-
Zulu sells its waterproof phone case for $122 per unit. Fixed costs total $262,000, and variable costs are $52 per unit. Compute the units that must be sold to get a target income of $228,000....
-
what ways does the topology of a social network impact the speed and pattern of information dissemination across the network ?
-
The Space Transportation Program Office has tasked you with estimating production costs for a new solid propellant rocket engine to be used on the International Launch Vehicle (ILV). Prior to...
-
The weigh (in kg) of 10 samples of ice-cream taken from a large consignment are 50, 49, 52, 44, 45, 48, 46, 45, 49, 45. Test if the average packing can be taken to be 50 kgs.
-
For the next several days, take notes on your listening performance during at least a half-dozen situations in class, during social activities, and at work, if applicable. Referring to the traits of...
-
Using COSOs updated Internal ControlIntegrated Framework define internal control and describe important elements of the definition.
-
The Auditing in Practice feature, "Application of Accounting Principles and Related Disclosures," discusses guidance from AS 12 regarding the auditor's responsibilities to understand management's...
-
The audit of GolfDay Company, a manufacturer of bicycle racks and golf carts, is almost finished. Krista Heiss is the most experienced auditor on this audit and is in charge of performing final...
-
You have an opportunity to invest in a concession at a world exposition. LOS To use the building and exhibits more fully, the venture is expected to cover a six-year period consisting of a...
-
Below is a list of aspects of various capital expenditure proposals that the capital budgeting team of Modern Systems, Inc., has incorporated into its net present value analyses during the past year....
-
Critic Ivor Smallbrain is watching the classic film 11. \(\overline{9}\) Angry Men. But he is bored, and starts wondering idly exactly which rational numbers \(\frac{1}{n}\) have decimal expressions...
Study smarter with the SolutionInn App