Question: 7. Let a[n] and y[n] be the input and output of a discrete-time system, respectively, and they are related by y[n] = -ay[n-1] +

7. Let a n and y[n] be the input and output of a discrete-time system, respectively, and they are related by

7. Let a[n] and y[n] be the input and output of a discrete-time system, respectively, and they are related by y[n] = -ay[n-1] + a[n]. Suppose r[n] = u[n] which is the unit step function and y[-1] = 0. Answer the following: (a) (b) Use MATLAB to generate and plot y[n] for 0 n 100 with a = 0.5. What is the value of y[10]? Do you think that the system is stable? Why? Use MATLAB to generate and plot y[n] for 0 n 100 with a = 2. What is the value of y[10]? Do you think that the system is stable? Why?

Step by Step Solution

★★★★★

3.44 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To analyze the system described by the difference equation ynayn1xn where xn is the input and yn is ... View full answer

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 Programming Questions!

Let X be a random variable representing the time between successive arrivals at a checkout counter in a supermarket. The values of X in minutes (rounded to the nearest minute) are Assume that the pdf...

Discuss the possible types of international projects and possible problems that can be faced by international projects. [8 marks]

52 6. This is another question about portfolios. Here, for a given shape of the profit curve, design the portfolio. (a) Construct a portfolio using only Calls where, at time t = T, the profit line is...

A firm issues a floater with 100 face value paying LIBOR on the first day of each calendar quarter. The floater will mature on Jan 1, 2040. Assume the yield curve is always flat. The floater was...

How do variations in human anatomy, including anatomical anomalies, developmental abnormalities, and genetic polymorphisms, influence individual differences in physiological function, susceptibility...

The following problems relate to the response of LTI discrete-time systems. (a) The unit-step response of a LTI discrete-time system is found to be s[n] = (3 3(0.5) n+1 )u[n]. Use s[n] to find the...

The output of a discrete-time system is y[n] = w[n] x[n] where x[n] is the input, and w[n] = u[n] u[n 5] is a rectangular window. (a) The input is x[n] = 4 sin (n/2),

II. Echo generation and cancelation Given a signal x(n) and (0,1), one can simulate an echo by creating the following signal y(n)=x(n)+x(nd), where dN is the delay factor. 1. Explain in your own...

The control panel on a spaceship contains a light that blinks every 2 . 7 6 s as observed by an astronaut in the ship. If the spaceship is moving past Earth with a speed of 0 . 7 1 3 c , determine...

Please summarize this journal, the length of the summary should not be more than two pages with 1.5 spacing, size 12 Times New Rome. Expert Systems with Applications 38 (2011) 11347-11354 Contents...

Figure shows a load resistor R L = 20 connected to a high-pass filter consisting of an inductor L = 3.2 mH and a resistor R = 4. The input voltage is = (100 V) cos (2ft). Find the rms currents in R,...

If the interface of a weld is viewed in cross section, what is the distinctive geometric feature of an explosive weld?

Would you consider the innovation that you described in the Unit 1 discussion to be an incremental / sustaining innovation or a radical / disruptive innovation? Why? If incremental, do you foresee...

In 2016, the Centers for Disease Control and Prevention estimated that the flu vaccine was 73% effective against the influenza B virus. An immunologist suspects that the current flu vaccine is less...

Eating blueberries and strawberries might improve heart health, according to a long-term study of 93,600 women who volunteered to take part. These berries are high in anthocyanins due to their...

Follow the instructions for starting C++ and viewing the Advanced28.cpp file, which is contained in either the Cpp8\Chap12\Advanced28 Project folder or the Cpp8\Chap12 folder. (Depending on your C++...

A retiree will receive retirement pension payments of $1000 at the end of every month for the next 12 years. What is the current economic value of the retiree's pension if money is worth a. 6%...

What is lost in terms of societal welfare if, in the cause of safety, a drug or medical device has its approval delayed by a year or two?

An employee is having difficulty with some decisions at work. The employee knows what the managers would do but is conflicted based on personal morals. The employee goes ahead and makes the decision...

For the following exercises, solve the system by Gaussian elimination. -2 -2 0 1 [2] 0 2 -1.

For the following exercises, find the exact value of each trigonometric function. cos /2

Can a graph of a rational function have no x-intercepts? If so, how?

Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect...

A consulting group was hired by the Human Resources Department at General Mills, Inc. to survey company employees regarding their degree of satisfaction with their quality of life. A special index,...

Thompson Photo Works purchased several new, highly sophisticated processing machines. The production department needed some guidance with respect to qualifications needed by an operator. Is age a...