Question: Implementation of LTI systems consider the recursive discrete-time system described by the difference equation y(n) = a 1 y(n - 1) a 2 y(n

Implementation of LTI systems consider the recursive discrete-time system described by the difference equation

y(n) = a₁y(n - 1) – a₂y(n - 2) + b₀x(n)

where a₁ = -0.8, a₂= 0.64 and b₀ = 0.866.

(a) Write a program to compute and plot the impulse response h(n) of the system for 0 ≤ n ≤ 49.

(b) Write a program to compute and plot the zero-state step response s(n) of the system for 0 ≤ n ≤ 100.

(c) Define an FIR system with impulse response h_FIR (n) given by, where h(n) is the impulse response computed in part (a). Write a program to compute and plot its steps response.

h(n). 0<n 19 0. hFIR (n) eisewhere

(d) Compare the results obtained in parts (b) and (c) and explain their similarities and differences.

h(n). 0

Step by Step Solution

★★★★★

3.27 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c d The step responses in fig b a... 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

Document Format (1 attachment)

31-E-T-E-D-S-P (578).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Consider the system described by the difference equation y(n) = ay(n 1) ax(n) + x (n 1) (a) Show that it is all-pass. (b) Obtain the direct form II realization of the system (c) If you quantize...

Consider the linear system described by the difference equation y(n) = 0.8y(n 1) + x(n) + x(n 1) Where x(n) is a wide-sense stationary random process with zero mean and autocorrelation xx (m) =...

An FIR filter is described by the difference equation y(n) = x(n) + x(n ? 10) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to theinputs ( + ) oc Answered: 4 weeks ago

A car manufacturer designs a fuel-efficient car for 1993. The company argues that the car can attain an average of 45 miles per gallon. The miles per gallon of the car follows a normal distribution...

The following are from the financial statements for General Mills (in millions): At the end of fiscal year 2010, 656.5 million shares were outstanding, and they traded at $60 each. The following...

There is another oxygen-stabilized cation of m/z 87 capable of being formed by fragmentation of the molecular ion in the mass spectrum of secbutyl ethyl ether. Suggest a reasonable structure for this...

What are the benefits? Do they include parking, health insurance, dental insurance, life insurance, and retirement?

Clover Dairy Products Corp. buys one input, full-cream milk, and refines it in a churning process. From each gallon of milk Clover produces three cups of butter and nine cups of buttermilk. During...

Overview: In this assignment, you will create a collection of books using a Book struct: typedef struct { char * title; char * author; int year; 3 Book; Book * create _ library ( char * ) ; This...

You work for Euroc, a limited liability company, which seeks growth through acquisitions. You are a member of a team that is investigating the possible purchase of Choggerell, a limited liability...

Choose one of the massively multiplayer online role-playing games (MMORPGs). Examples include World of Warcraft, Eve Online, EverQuest, Lineage, and Star Wars Galaxies. What leadership skills are...

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [3(cos 80 + i sin 80)] [3(cos 80 + i sin 80) = (Simplify your answer, including any...

Question 17 (515108) (Elastic Collisions} = (1 points) On a frictionless surface, a block of mass m 2 kg moves at a velocity of v = +6 m/s (towards the right) headed towards another block of m 1 kg...

Grifols is a global healthcare company that since 1909 has enhanced the health and well-being of people around the world. Four divisions - Bioscience, Diagnostic, Hospital and Bio Supplies - develop,...

In 2009, Starbucks' net income fell precipitously. The stores needed to make a change, so Schultz temporarily close all the stores and re-train the entire staff, (Schultz, 2013). Schultz felt the...

The NH Jones Manufacturing Company produces porcelain figurines. The molding department inspects damaged units when they are 65% complete. Direct materials are added at the end of the process, and...

All of the following are itemized deductions in 1998 except: a. Charitable contributions b. Casualty losses c. Moving expenses d. Medical expenses e. All of the above are itemized deductions

During the year land was revalued and the surplus reported as Revaluation surplus; and an asset costing 80,000, written down to 38,000, was sold for 40,000. Identify the cost of any non-current...

In the diagram below, the sketch on the far left represents the [H 3 O + ] present in an acetic acid solution of molarity c. If the molarity of the solution is doubled, which of the sketches below...

Design three narrowband filters, centered on the frequencies $770 \mathrm{~Hz}, 852 \mathrm{~Hz}$, and 941 $\mathrm{Hz}$, satisfying the specification below, using the minimax approach:...

Design a maximally flat lowpass filter satisfying the specification below: \[\begin{aligned}& \omega_{\mathrm{c}}=0.4 \pi \mathrm{rad} / \mathrm{sample} \\& T_{\mathrm{r}}=0.2 \pi \mathrm{rad} /...

Repeat Exercise 5.14 (a) using the Dolph-Chebyshev window. Compare the transition bandwidths and the stopband attenuation levels for the two resulting filters. Exercise 5.14(a) (a)...

A Japanese company has a bond outstanding that sells for 85 percent of its A100, 000 par value. The bond has a coupon rate of 4.4 percent paid annually and matures in 15 years. What is the yield to...

Metallica Bearings, Inc., is a young start-up company. No dividends will be paid on the stock over the next nine years because the firm needs to plow back its earnings to fuel growth. The company...

what is the value of the E(ROIC) for firms U and L respectively? a. 7.5%, 7.5% b. 11.30%, 11.25% c. 11.25%, 11.30% d. 11.25%, 11.25% Consider two small hypothetical firms, Firm U with zero debt...