Question: Find an (N) th-order AR approximation for the ARMA system [H(z)=frac{1-1.5 z^{-1}}{1+0.5 z^{-1}}] and compare the resulting magnitude response to the original ARMA system. Observe

Find an $N$ th-order AR approximation for the ARMA system

\[H(z)=\frac{1-1.5 z^{-1}}{1+0.5 z^{-1}}\]

and compare the resulting magnitude response to the original ARMA system. Observe that in this case the ARMA system presents a zero outside the unit circle.

Step by Step Solution

★★★★★

3.40 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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

Students Have Also Explored These Related Digital Control System Analysis And Design Questions!

(a) Find an $M$ th-order MA approximation for the ARMA system given in Example 7.3. (b) Use the roots command in MATLAB to determine the zero locations of the MA approximation for $M=1,2,3,4$....

Estimate the PSD of the ARMA system output in Exercise 7.11 to a unit-variance white-noise input. Use the standard periodogram method and the autocorrelation method with $N=1,2,3,4$ and compare the...

Find an $N$ th-order AR approximation for the ARMA system \[H(z)=\frac{\left(1-0.8 z^{-1} ight)\left(1-0.9 z^{-1} ight)}{\left(1-0.5 z^{-1} ight)\left(1+0.5 z^{-1} ight)}\] and compare the...

Solving Two-stage Robust Optimization Problems by A Constraint-and-Column Generation Method Bo Zeng Department of Industrial and Management Systems Engineering University of South Florida, Email:...

Set Student Name: 1. Answer true or false for each part, and if false, explain your answer. a. The point estimate for the population mean, , of an x distribution is x-bar, computed from a random...

Instuctor's Annotated Edition TENTH EDITION Understandable Statistics Concepts and Methods Charles Henry Brase Regis University Corrinne Pellillo Brase Arapahoe Community College Australia Brazil...

Fourier Series - Discussion Topics A Blue Whale's resting heart rate has period that happens to be approximately equal to 2 . A typical ECG of a whale's heartbeat over one period may be approximated...

( Please explain both A and B ) I think A is not coding and B is . Question 1 . Taylor Polynomials Engineers and physicists frequently use the approximation sin ( x ) x for x small, which is a first...

MATLAB function that takes as input a positive parameter k , an interval radius \ delta ( call \ delta something like delta in MATLAB ) , and a desired error threshold err, and returns a value n for...

Let Pn ( x ) be the degree n Taylor Polynomial for f ( x ) = sin ( x ) about x = 0 . Find n so that Pn ( x ) is within 1 0 4 of sin ( x ) for all x in [ 1 , 1 ] . ( b ) Create a MATLAB function that...

Cost recovery and Sec. 1245 recapture. The Bruin Corporation purchased new equipment (7year MACRS property, 2-year convention) on September 12, 2017 for $2,300,000. In order to minimize their current...

Discuss the benefits of standardization of a futures contract.

1.26 A study was conducted on the injuries sustained by workers in three different sections at a local factory. The following table shows the data for the first 5 cases out of a total of 25 cases....

Supplemental property insurance. Eva and Blake Lewis are a high-net-worth couple. They have appropriate auto and homeowners insurance, but are concerned that they could be sued by someone visiting or...

Consider the closed loop system of Problem 5.4. Knowing the input, output, and feedback path transfer function, identify the system using (a) the "deconvolution" matrix and (b) the recursive approach...

Consider the open loop system of Problem 5.6. Identify the system for double the value of $m$ keeping the time interval $T$ same. Compute percentage error for each segment and make your...

Consider the open loop system of Problem 5.6. After identifying the system using the "deconvolution" approach for $m=8$ and $T=1 \mathrm{~s}$, compare the result with the direct BPF expansion of...

1 Question 4: 18 marks 2 3 Bespoke Furniture Assemblers Inc. (BFAI) manufactures bedroom furniture in sets (a set includes a 4 dresser two queen-size beds, and one bedside table) for use in motels...

This trial balance of Wildhorse Co. does not balance. Each of the listed accounts has a normal balance per the general ledger. An examination of the ledger and journal reveals the following errors:...

Becton Labs, Inc., produces various chemical compounds for industrial use. One compound called Fludex, is prepared using an elaborate distilling process. The company has developed standard costs for...