Question: Assume that Hc(s) has an r th-order pole at s = s0, so that Hc(s) can be expressed as where Gc(s) has only first-order poles.

Assume that Hc(s) has an r th-order pole at s = s0, so that Hc(s) can be expressed as

Ak H(s) = + G.(s). (s - so) k=1

where Gc(s) has only first-order poles. Assume Hc(s) is causal.

(a) Give a formula for determining the constants Ak from Hc(s).

(b) Obtain an expression for the impulse response hc(t) in terms of s0 and gc(t), the inverse Laplace transform ofGc(s).

Ak H(s) = + G.(s). (s - so) k=1

Step by Step Solution

★★★★★

3.47 Rating (180 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b Expanding the sum to see things more clearly ... 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 (322).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Q:

The Doppler broadening in a gas can be expressed as where M is the molar mass. For the sodium transition, ν 0 5.0933 à 10 14 s -1 . Calculate Îν and...

Q:

In terms of impulse and momentum, why is it important that helicopter blades deflect air downward?

Q:

In terms of impulse and momentum, why do padded dashboards make automobiles safer?

Q:

l. N830? Honors Problem 4 Use integral calculus to compute the volume of a spherical cap. which is the region inside the sphere 1:2 + y'2 + 22 = R2 and above the plane 3 = (2. Here assume that I] :1...

Q:

Let N = {O, n1, n2, n3} be the Earth-centered inertial (ECI) reference frame, with its origin at the center of the Earth. The Earth-centered Earth-fixed (ECEF) reference frame E = {O, e1, e2, e3} has...

Q:

At what altitude h above the north pole is the weight of an object reduced to one-third of its earth-surface value? Assume a spherical earth of radius R and express h in terms of R.

Q:

XU PART 2- CU, Inc. (CU) produces copper contacts that it uses in switches and relays. CUI needs to determine the order quantity to meet the annual demand at the lowest cost. The price of copper...

Q:

Please give me solutions for 2 documents. I have a test soon!!! LANCASTER UNIVERSITY 2012 EXAMINATIONS PART II (SECOND AND FINAL YEAR) ACCOUNTING AND FINANCE AcF 305 INTERNATIONAL FINANCIAL...

Q:

IOE 419 Mark S. Daskin Service Operations Management IOE Department Winter, 2017 University of Michigan Problem set 4 DUE: MONDAY - February 20, 2017 Points: 100 points total Problem 1: Babette has...

Q:

IBM-A Fading Giant Rejuvenates Stealitate LBM et similar roller coaster foes Cutinental Air, with the man difference that it was so much igerson years of inchisty domination The common motion is that...

Q:

Samples of five units each were taken. Use three-sigma control limits (so use Exhibit 13,7). SAMPLE NUMBER 1234567E 23 7 8 HA 106 9. 10 11 23 12 13 14 HAHARAN 819 5 15 16 17 18 19 20 Sample Number 1...

Q:

You used the sum-mated rating of a restaurant to predict the cost of a meal. The data are stored in Restaurants. Using the results of that problem, b1, = 1.4689 and Sb1 = 0.1701. a. At the 0.05 level...

Q:

The number of days an insured pays expenses before the insured's long - term care policy begins to pay benefits is called the

Q:

A million-dollar oil drilling rig has a 6-year depreciable life and a $75,000 salvage value at the end of that time. Determine which one of the following methods provides the preferred depreciation...

Q:

The Acme Chemical Company purchased $45,000 of research equipment, which it believes will have zero salvage value at the end of its 5-year life. Compute the depreciation schedule for the equipment by...

Q:

The Shell out Corp. owns a piece of petroleum drilling equipment that costs $100,000 and will be depreciated in 10 years by double declining balance depreciation , with conversion to straight-line...

Q:

Granny's Butter and Egg Business is such that she pays an effective tax rate of 40%. Granny is considering the purchase of a new Throb Churn for $25,000. This churn is a special handling device for...

Q:

The profitable Palmer Golf Cart Corp. is considering investing $300,000 in special tools for some of the plastic golf cart components. Executives of the company believe the present golf cart model...

Q:

4. The market for denim jeans is in equilibrium, and the price of polyester pants, a substitute good, rises. In the jean market A. supply falls, increasing the price and decreasing the quantity. B....

Q:

The conveyer drive roll in the figure for Prob. 342 is 150 mm in diameter and is driven at 8 rev/min by a geared-motor source rated at 1 kW. Find a suitable shaft diameter dC based on an allowable...

Q:

For the same cross-sectional area A = s2 = d2/4, for a square cross-sectional area shaft and a circular cross-sectional area shaft, in torsion which has the higher maximum shear stress, and by what...

Q:

For the same cross-sectional area A = s2 = d2/4, for a square cross-sectional area shaft and a circular cross-sectional area shaft, both of length l, in torsion which has the greater angular twist ,...

Q:

uBreakiFix is a national chain stores that helps fix computer equipment including smart phones, tablets, laptops, and desktops. Below is the 12/31/21 adjusted trial balance of the uBreakiFix location...

Q:

Four years ago, you bought a home for $200,000. You paid $20,000 down and agreed to a 30-year mortgage with a 6% annual interest rate (APR). You have made regular monthly payments and periodic...

Q:

You are considering three stocks with the following expected dividend yields and capital gains: Dividend Yield Capital Gain A 15% 0% B 1 14 C 0 15 What is the expected return on each stock? A % B % C...