Question: The transfer function of a discrete-time system is with α = r 1 e jθ1 and β = r 2 e jθ2 , where r

The transfer function of a discrete-time system is

22 - 1 z - (a + B)z +aß H(z) =

with α = r1 ejθ1 and β = r2ejθ2, where ri > 0 and θi are angles between 0 and 2π

(a) Determine the range of values of r1 and r2 for which the impulse response h[n] of the system tends to zero as n †’ ˆž.

(b) For what values of α and β would the frequency response be zero at ω = 0 and Ï€ and ˆž at ω = Ï€/2?

22 - 1 z - (a + B)z +aß H(z) =

Step by Step Solution

★★★★★

3.51 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Poles of Hz Impulse response for hn 0 as n we need 0 ... View full answer

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 Questions!

Q:

The transfer function of a system is Y(s) / R(s) = 15(s + 1) / s2 + 9s + 14 Determine y(t) when r(t) is a unit step input.

Q:

The transfer function of a system is Sketch the block diagram and obtain a state variable model. Y(s) 2s 10 R(s) 4s26s 10 T(s)-

Q:

The transfer function of a causal LTI discrete-time system is H(z) = (1 + z 1 )/(1 .5z 1 ). (a) Find the poles and zeros of H(z). Choose the correct region of con-vergence corresponding to H(z)from...

Q:

Planning Demand and Supply in a Supply Chain Capacity Planning and Assignment 1 utdallas.edu/~metin Outline Capacity Planning Product-to-plant Assignment utdallas.edu/~metin 2 Deterministic Capacity...

Q:

Hidden Markov models (HMM) are widely used in Bioinformatics. (i) In a HMM when would you use the Baum-Welch algorithm, and when the Viterbi algorithm, and why? Give biologically motivated examples....

Q:

Ovenview In this lab we will first learn how to implement transfer function in both Matlab and in Simulink. Next we show how to write block diagrams as signal flow graphs, and lastly we will use the...

Q:

% Demonstration of Cruise Control % Using PI (Proportional and Integral) Controller % % Task: Complete and run the script. % The places you need to add code start with a capitized word. clear all;...

Q:

It is a simple and hypothetical bank application with two accounts. User can create two accounts whose account number and initial balance are randomly assigned. User can perform and repeat various...

Q:

Please answer ASAP and comment again if you are still working on the problem. Please box final answers and answer all portions of the question correctly and you will be given thumbs up. See attached...

Q:

I need help programming this question using C. The code must follow these parameters and include the code below in bold. No global variables, no arrays, and no recursive functions are supposed to be...

Q:

CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. (a) Find the mean, midrange, geometric mean, and 10 percent trimmed mean. (b) Do these...

Q:

Propose a mechanism for the reaction of an amide with thionyl chloride to form a nitrile.

Q:

2. (True/False): A function ending with the letter W (such as WriteConsoleW) is designed to work with a wide (16-bit) character set such as Unicode.

Q:

=+Use the price-taker model to determine how the drought affected (a) prices of the three commodities, (b) revenue from the three crops, and (c) the profitability of those farming the three crops.

Q:

Dr. Amongus claims that the order in which a fixed set of entries is inserted into a binary search tree does not matterthe same tree results every time. Give a small example that proves he is wrong.

Q:

How many different binary search trees can store the keys {1,2,3}?

Q:

Describe an efficient multimap structure for storing n entries whose r < n keys have distinct hash codes. Your structure should perform operation getAll in O(1 +s) expected time, where s is the...

Q:

An online option calculator provides the following Greeks information on 3 options. Please determine the best combination of 2 different call options for a moderately bearish strategy. Assume the...

Q:

Chapter 9 Hypothesis Tests for One Population 4 The value obtained for the teststatistic, z, in aone-mean z-test is given. Whether the test is twotailed, lefttailed, or right tailed is also...

Q:

8 . Assume the following inputs for parts a , b , and c below. The market portfolio has an expected return of 1 2 % and a standard deviation of returns of 2 0 % . The risk - free rate is 5 % . a )...