Question: If 8(n) is a unit-impulse, using the definition of convolution, show that x(n)* 8(n-k) = x(n-k) (for an arbitrary signal x(n). Assume the impulse

If 8(n) is a unit-impulse, using the definition of convolution, show that

If 8(n) is a unit-impulse, using the definition of convolution, show that x(n)* 8(n-k) = x(n-k) (for an arbitrary signal x(n). Assume the impulse response of an LTI system is given by: h(n) = {1, 2, 3} Assume x(n) = 2nu(n) and that y(n)= x(n) * h(n). What is y(n)? What is y(20)? What is y(-3)?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To show that xn nk xnk using the definition of convolution we need to compute the convolution sum ... 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 Accounting Questions!

Choose the correct statement regarding Term Life Insurance: it offers a guaranteed final payment when the insured dies A term contract is a simple, cost-effective long-term product that offers basic...

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...

1. Hannah is applying for a life policy on her girlfriend Sarahs life. The policy is $500,000 and carries a large premium. Hannah is the main earner, so she is concerned about not being able to pay...

x [n] = > x [k]8 [n - k] (4) K=-00 1 for n = -1 For example if x [n] = 2 for n = 0 -1 for n = 1 (5), then based on Eqn. 4, 0 otherwise x[n] = [n + 1] + 28[n] - 8[n - 1] (6) There are two ways to look...

Fill out when it say#TODO Comments: Note hov te con olution "stretched out thg decaying ooonoritial! In oractice, wo often con't have access to closed form expression describing our impulse response....

please follow the matlab background and answer the problem (e) to (g) only 2 MATLAB Background To read an audio signal and store it in a vector x, use MATLAB function auread. To read the whole file,...

fs=8000,data=82543*1,please anwer all these problem in mathlab by using matlabbackground,The final phote for problem (e) MATLAB Background To read an audio signal and store it in a vector x, use...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Using MATBLAB, please explain steps Activity 1: Discrete Convolution (without the "conv" function) To illustrate the discrete time convolution we are going to use the signal x[t) and the system...

Roll a die and flip a coin. Let Y be the value of the die. Let Z = 1 if the coin shows a head, and Z = 0 otherwise. Let X = Y + Z. Find the variance of X.

Visit the Web sites of Gap, banana republic, and Old Navy. Describe the positioning of each brand.

Which of the following are potential benefits of reinvesting the profits into a company rather than taking a dividend for income from it ? Select all that apply. Value of the company increases....

Determine whether stock prices are affected more by long-term or short-term performance. Provide an example of the effect that supports your claim.

1) Using your buyer's perspective was the contract breached??if yes how serious is the breach and if no explain why? 2) Using your buyer's perspective should the damage party be compensated for their...

Return on Investment for Multiple Investments, Residual Income The manager of a division that produces add-on products for the automobile industry has just been presented the opportunity to invest in...

Suppose your father has always maintained that nitrogen fertilizer, properly applied, will consistently make your grass grow greener. Design a simple, controlled experiment to determine whether or...

You have interviewed a prospective new employee who could be a key member of your team. The new person's required salary would compromise the integrity of your salary structure, because it is 20%...

2.0 Risk Identification Process 2.1 Risk Identification Process Requirements of this section: Outline and discuss the process that will be used to identify all possible risks associated with your...

Janie graduates from high school in 2012 and enrolls in college in the fall. Her parents pay $4,000 for her tuition and fees. a. Assuming Janie's parents have AGI of $170,000, what is the American...

Sally and Charles Heck received the following dividends and interest during 2012: Assuming the Hecks file a joint tax return, complete Schedule B of Form 1040 (on page 2-33) for them for the 2012 tax...

Frank, age 35, and Joyce, age 34, are married and file a joint income tax return for 2012. Their salaries for the year total $83,000 and they have taxable interest income of $4,000. They have no...

Refer to Exercise 15-9, which referenced an article in BusinessWeek that presented a list of the 100 companies perceived as having hot growth characteristics. The file entitled Logrowth contains...

Which model would you choose? Explain your answer.

An investment analyst collected data of 20 randomly chosen companies. The data consisted of the 52-weekhigh stock prices, PE ratios, and the market values of the companies. These data are in the file...