Solve the given difference equation for x(k) using x(k) 3x(k 1) 2x(k 2) e(k), e(k) (1, k 0, 1 0, k2 x( 2) x( 1) 0 (a) The sequential technique (b) The Z transform (c) Will the final value theorem give the correct value of x(k) as k o ...

a x0 e0 1 x1 e1 3x0 4 x2 e2 3x1 2x0 10 ...

Solve the given difference equation for x(k) using: x(k)-3x(k-1)+2x(k-2)= e(k), e(k) = (1, k = 0, 1

Question:

Solve the given difference equation for x(k) using: x(k)-3x(k-1)+2x(k-2)= e(k), e(k)= (1, k = 0, 1 0, k2 x(-2) = x(-1) = 0 (a) The sequential technique. (b) The

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: 9780132938310

4th Edition

Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty

See More Books

Question Posted: Jan 22, 2024 03:00 AM

See More Questions

Find the length of one of the bases of the trapezoid when the area of the trapezoid is 91 square meters, the height is 7 meters, and the length of the other base is 20 meters.
Solve the equation x2/(F - x) = K by using Goal Seek. Guess a value of x in cell A4 and evaluate x2/(F - x) in cell B4. Use Goal Seek to vary the value of x until x2/(F - x) is equal to K. Use your...
In Problems write each system as a matrix equation and solve using inverses. = k X3 = K X1 + 2x3 = k3 (A) k = 2, k = 0, K3 = 4 (B) k = 0, k= 4, k3 = -2 (C) k = 4, k = 2, k3 0 x + x 2x + 3X
Vern Westby inherited a ticket from Anna Sjoblom, a survivor of the sinking of the Titanic, which had been pinned to the inside of her coat. He also inherited an album of postcards, some of which...
Determine the moments of inertia I x and I y of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. 13 in. 1.0 in. 0.5 in 3.5 in. 0.5 in. -3.6 in
The angular functions, Î(Î¸ )Î¦(Ï ), for the one-electron HartreeFock orbitals are the same as for the hydrogen atom, and the radial functions and radial...
In your interim work on the sales transactions of the Carlean Company, you elect to use the attributes shown in Figure 7-7. Assume, however, the following: The population consists of 7,000...
Rinehart Corporation purchased from its stockholders 5,000 shares of its own previously issued stock for $255,000. It later resold 2,000 shares for $54 per share, then 2,000 more shares for $49 per...
Analyzing the shape of the curve and what it means for the future short-term rates according to the liquidity premium theory. Additionally, state the implications of the particular shape you are...
Given the difference equation y(k+ 2) / v(k + 1) + v(k) = e(k) where y(0) = y(1) = 0, e(0) = 0, and e(k) = 1, k = 1, 2,... . (a) Solve for y(k) as a function of k, and give the numerical values of...
From Table 2-3, *[cos akT] = z(z - cos aT) z - 2z cos aT +1 2
Determine the couple moment M that must be applied to member DC for equilibrium of the quick-return mechanism. Express the result in terms of the angles ? and ?, dimension L, and the applied force P,...
2. Figure 1 shows an optic experiment about polarization. There are two light sources, denoted as "Laser 1" and "Laser 2". Both light sources are laser and have identical wavelength. Both laser light...
You are a portfolio manager working for QUALDE Financial Solutions. You have computed the following information regarding four stocks listed on the New York Stock Exchange using 5 years of monthly...
A multinational retail company currently has excess funds in the amount 10,000,000. Why might this company choose to invest these funds in the Money Market instead of depositing them into a savings...
QUESTION 5: a. Sabrina Ip wants to create a portfolio as risky as the market and she has $1,000,000 to invest. Given this information, fill in the rest of the following table: Investment Asset...
First Quarter October 2014..... 150 November ........... 75 December.......... 25 Table 2 October 2014 November December. January. February. Table 1 March April. May June. July August. September....
Advanced Automotive pays $210,000 for a group purchase of land, building, and equipment. At the time of acquisition, the land has a current market value of $66,000, the buildings current market value...
The executor of Gina Purcells estate has recorded the following information: Assets discovered at death (at fair value): Cash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
Consider the general bilinear transformation where a is real and nonzero. (a) Show that this function transforms the stability boundary of the z-plane into the imaginary axis in the w-plane. (b) Find...
Consider the system of Fig. P7.2-5, and let the digital controller be a variable gain K such that D(z) = K. Hence m(kT) = Ke(kT). (a) Write the closed-loop system characteristic equation as a...
Consider the system of Fig. P7.2-5 with T = 1 s . Let the digital controller be a variable gain K such that D(z) = K . Hence m(kT) = Ke(kT). (a) Write the closed-loop system characteristic equation....
The acceleration of a bus is given by a (t) = at, where a = 1.30 m/s is a constant. Part A If the bus's velocity at time t = 1.15 s is 5.10 m/s, what is its velocity at time t = 2.15 s? Express your...
Jamie is single. In 2022, she reported $120,000 of taxable income, including a long-term capital gain of $7,000. What is her gross tax liability? (Use the tax rate schedules, long-term capital gains...
A block with a mass of m = 39 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1. The second...

Solve the given difference equation for x(k) using: x(k)-3x(k-1)+2x(k-2)= e(k), e(k) = (1, k = 0, 1

Question:

x(k)-3x(k-1)+2x(k-2)= e(k), e(k) = (1, k = 0, 1 0, k2 x(-2) = x(-1) = 0 (a) The sequential technique. (b) The Z-transform. (c) Will the final-value theorem give the correct value of x(k) as k o?

Step by Step Answer:

a x0 e0 1 x1 e1 3x0 4 x2 e2 3x1 2x0 10 ...View the full answer

Digital Control System Analysis And Design

Students also viewed these Computer science questions