For the number sequence ({e(k)}), [E(z)=frac{z}{(z-1)^{2}}] (a) Apply the final-value theorem to (E(z)). (b) Check your result

Question:

For the number sequence $\{e(k)\}$,

\[E(z)=\frac{z}{(z-1)^{2}}\]

(a) Apply the final-value theorem to $E(z)$.

(b) Check your result in part (a) by finding the inverse $z$-transform of $E(z)$.

(c) Repeat parts (a) and (b) with $E(z)=z /(z+1)^{2}$.

(d) Repeat parts (a) and (b) with $E(z)=z /(z+0.9)^{2}$.

(e) Repeat parts (a) and (b) with $E(z)=z /(z+0.1)^{2}$.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Digital Control System Analysis And Design

ISBN: 9781292061221

4th Global Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

See More Books

Question Posted: Mar 15, 2024 01:00 AM

See More Questions

For the number sequence {e(k)}, Z E B () = (= + 1) (a) Apply the final-value theorem to E(z). (b) Check your result in part (a) by finding the inverse z-transform of E(z). (c) Repeat parts (a) and...
Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
Describe the general process used to determine the ULRD using AICPA sampling tables?
Give some everyday examples of situations in which friction is beneficial.
Given the modal mass matrix, $m_{q}=\left[\begin{array}{ll}2 & 0 \\ 0 & 2\end{array} ight] \mathrm{kg}$, the modal stiffness matrix, \(k_{q}=\left[\begin{array}{cc}5.858 \times 10^{6} & 0 \\ 0 &...
An independent auditor has completed substantive tests of balance sheet and income statement accounts, and now plans to begin procedures designed to determine whether there are any loss contingencies...
B52 Skate Training prepares adjustments annually and showed the following on its June 30, 2014, year-end: a. The Prepaid Arena Rental of $182,000 was paid on February 1, 2014. It represents seven...
Create and Design a form as given below: (5 Marks) Land Of Boxes Order Form Pomode 200 Credit Card Details Cad Part Neer Quantity Unit Price tal F 310 13500 305 2400 320 330 Cadabr Delivery Address p...
Find the inverse $z$-transform of each $E(z)$ below by any method. (a) $E(z)=\frac{0.5 z^{2}}{(z-1)^{2}(z-0.6)}$ (b) $E(z)=\frac{0.5}{(z-1)(z-0.6)^{2}}$ (c) \(E(z)=\frac{0.5...
(a) Find $e(0), e(1)$, and $e(10)$ for \[E(z)=\frac{0.8}{z(z-0.6)} \] using the inversion formula. (b) Check the value of $e(0)$ using the initial-value property. (c) Check the values...
The president of Ace Retail commented on the companys new controller: The woman is brilliant! She has shown us how we can maximize our income and at the same time minimize the amount of taxes we have...
To what extent, if any, do the prospective financial gains of the banks' shareholders represent transfers of value from other claimholders, such as bank customers, employees, and communities in which...
Gravel is being dumped from a conveyor belt at a rate of 25 ft/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is...
You are told that A and B are two events, such that P(A) = 0.59, P(B) = 0.21, P(A and B) = 0.1 What is the value of P(B given A)? Give your answer to two decimal places. Do NOT give you answer as a...
Compare and contrast economic gains with changing conditions at the workplace, and assess whether working Americans saw their lot improve or worsen during the 1920s.
Find three identical food items made by different manufacturers (for example, cans of pears made by three different manufacturers) and do the following: Compare and contrast the nutritional...
Effect of LIFO on financial statements over several periods. Harmon Corporation commenced operations on January 1, 2008. It uses a LIFO cost-flow assumption. Its purchases and sales for the first...
State whether each statement is true or false. If false, give a reason. {purple, green, yellow} = {green, pink, yellow}
Repeat Problem 9.7-1 for the temperature control system of Problem 9.2-3, where the state equations are given by Problem 9.7-1 In Problem 9.2-4, a pole-placement design for a satellite control system...
In Problem 9.2-4, a pole-placement design for a satellite control system results in the gain matrix K = [0.194 0.88]. It is desired to have an input signal r(t) applied to the system, so as to...
For the system of Problem 9.6-5, use a transfer function approach to show that the transfer function Q ( z ) / U ( z ) Q ( z ) / U ( z ) is first order (even though the system is second order) and is...
Prepare an income statement for 20XY. (Input all answers as positive values) For December 31, 20XX, the balance sheet of the Gardner Corporation is as follows: Balance Sheet Current Assets...
Why does forensic mental health experts' evidence can be used to cross-examine witnesses lay witnesses and why does lay witness testimony can be confirmed by expert testimony?
A). Which company did you choose to franchise? Provide a brief introduction. B). What is their "Franchise Fee"? C). What type of customer support do they provide? D). What type of financing do they...

For the number sequence ({e(k)}), [E(z)=frac{z}{(z-1)^{2}}] (a) Apply the final-value theorem to (E(z)). (b) Check your result

Question:

Step by Step Answer:

Digital Control System Analysis And Design

Students also viewed these Computer science questions