Question: A causal linear time-invariant system is described by the difference equation y[n] 5y[n 1] + 6y[n 2] = 2x[n 1]. (a)

A causal linear time-invariant system is described by the difference equation

y[n] – 5y[n – 1] + 6y[n – 2] = 2x[n – 1].

(a) Determine the homogeneous response of the system, i.e., the possible outputs if x[n] = 0 for all n.

(b) Determine the impulse response of the system.

(c) Determine the step response of the system.

Step by Step Solution

★★★★★

3.38 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The homogeneous difference equation Taking the Ztransform The homogeneous solution is of the ... 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

Document Format (1 attachment)

Word file Icon

30-E-T-E-D-S-P (5).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Q:

A low pass filter is described by the difference equation y(n) = 0.9y(n 1) + 0.1x(n) (a) By performing a frequency translation of /2, transforms the filter into a band pass filter. (b) What is the...

Q:

A discrete-time system is described by the following state-space model:v(n + 1) = Fv(n) + qx(n)y(n) = gtv(n) + dx(n)where(a) Sketch the corresponding state-space structure.(b) Calculate the impulse...

Q:

A system is described by the matrix equations v = [0 2]x. Determine whether the system is controllable and observable. 3

Q:

A causal linear time-invariant system is described by the difference equation y[n] = 3/2 y[n 1] + y[n 2] + [n 1]. (a) Find the system function H(z) = Y(z) / X(z) for this system. Plot the poles...

Q:

What do you think is important to be successful in the workplace? Identify three customer service skills that you wish to improve in your job?

Q:

Q5.Pakistan is an Islamic State. Analyse this statement according to 1973 constitution of Pakistan?

Q:

Coronado Company, has these account balances at December 31, 2022. Notes payable ($62,000 due after 12/31/23) $103,000 Unearned service revenue 68,500 Other long-term debt ($90,000 due in 2023)...

Q:

A retailer pays $110,000 rent each year for its two-story building. Space in this building is occupied by five departments as shown here. Department Jewelry Cosmetics Department Housewares Tools...

Q:

question 1 matlab . Date of allotment: - February 16, 2021 (TUESDAY) Date of submission: - February 23, 2021 (TUESDAY) Copied assignments will be given zero. Make the program in software and take...

Q:

At the beginning of the current year, Packwild Tours Inc. acquired 60 percent of Snowbird Resorts' common stock for $45 million in cash and stock. The estimated fair value of the noncontrolling...

Q:

What are the balance of payment accounts? What do each record? 2.What are the four categories of the Current Account? What do they record? 3.What are the three categories of the Financial Account?...

Q:

Answer the following questions on a sheet of paper and upload. SHOW ALL YOUR WORK AND UNITS!!!!!! 1. How many moles are in 3.9 x 1020 atoms of magnesium? 2. How many atoms are in 4.60 moles of...

Q:

Figure 6 . 4 Sample Wall Street Journal U . S . Treasury note and bond prices \ table [ [ Maturity , Coupon,Bid,Asked,Change,Asked Yield ] , [ 8 / 1 5 / 2 0 2 1 , 2 . 1 2 5 , 1 0 1 . 0 4 0 , 1 0 1 ....

Q:

One thousand kilograms per hour of a mixture containing equal parts by mass of methanol and water is distilled. Product streams leave the top and the bottom of the distillation column. The flow rate...

Q:

A variation of the indicator dilution method (see preceding problem) is used to measure total blood volume. A known amount of a tracer is injected into the bloodstream and disperses uniformly...

Q:

If a system expands in volume by an amount V (m 3 ) against a constant restraining pressure P(N/m 2 ), a quantity PV(J) of energy is transferred as expansion work from the system to its surroundings....

Q:

Construct a quantile plot of these data. The lifetimes, in hours, of fifty 40-watt, 110-volt internally frosted incandescent lamps taken from forced lifetests: 936 919 1196 785 1126 918 948 1067 1092...

Q:

Two different box-filling machines are used to fill cereal boxes on the assembly line. The critical measurement influenced by these machines is the weight of the product in the machines. Engineers...

Q:

Find the total capacitance of the combination of capacitors shown in Figure 19.33. 5.0 F 18.0 8.0 F 3.5 F I 1.5 F F 0.75 F 15 F

Q:

Showthat (a) 8(n) = u(n) -u(n - 1) 8tn - k) E- 8(k) = E (b) u(n) = .

Q:

Show that any signal can be decomposed into an even and an odd component. Is the decomposition unique? Illustrate your arguments using thesignal x{n) = {2. 3. 4. 5.6)

Q:

Show that the energy (power) of a real-valued energy (power) signal is equal to the sum of the energies (powders) of its even and odd components.

Q:

Calculate the total return on a share of equity using the following data: If a U.S.-based investor purchases a euro-denominated ETF and the euro subsequently depreciates in value relative to the...

Q:

Question: At whatever point a driver experiences slowing down issues, particularly an erratic pulling aside, the scoundrel is constantly held to be the brake cushion. Minor components, particularly...

Q:

A review of univariate normal inference theory: consider X1, ,Xn a random sample from an assumed normal distribution with unknown mean y. We want to test the hypothesis H0: p = {.10 and Ha: ,u at #0...