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

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 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).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

See More Books

Question Posted: May 26, 2011 02:57 AM

See More Questions

The Doppler broadening in a gas can be expressed as where M is the molar mass. For the sodium transition, Î½ 0 5.0933 Ã 10 14 s -1 . Calculate ÎÎ½ and...
In terms of impulse and momentum, why is it important that helicopter blades deflect air downward?
In terms of impulse and momentum, why do padded dashboards make automobiles safer?
Show that if powers of x greater than x 5 are neglected. In sin x X =-=-x-x 180
Why doesn't The CocaCola Company lose all its customers when it raises its price? Why would a catfish farmer lose all her customers if she raised her price?
The transformer in a power brick (as used in a laptop computer) converts the AC voltage from a wall socket (V rms = 120 V) to a value near 12 V. (a) If the output coil of the transformer has 4000...
How has Treks interest in the environmental impact of its business influenced its organizational buying process?
Bradbury Corporation turns its inventory five times each year, has an average payment period of 25 days, and has an average collection period of 32 days. The firms annual sales are $3.6 billion, its...
From the Adjustments columns in the worksheet, journalize the four adjusting entries, as of December general journal format
Mike Curtains, a Registered Tax Agent, attends to the tax affairs of Frodo West. In preparing Frodo's 2021/22 income tax return, the following occurred: Frodo attended a meeting with Mike in August...
A continuous-time filter with impulse response h c (t) and frequency-response magnitude is to be used as the prototype for the design of a discrete-time filter. The resulting discrete-time system is...
Figure shows the frequency response A e (e j? ) of a discrete-time FIR system for which the impulse response is (a) Show that A e (e j? ) cannot correspond to an FIR filter generated by the...
How might differences in presentation of comparative data under GAAP and IFRS affect adoption of IFRS by U.S. companies?
5. Group the majors and construct a relative frequency distribution with a circle graph with this information. Program of Study bus AA Bus Eng AS Nur mech AA Nur AA AS Nur AS Nur AA DE AS AA AS AA AA...
1 2 Let f (x) = and g(x) = +4. x-3 a. Find and simplify (go f) (x). (gf) (x) = b. Find the restriction for the domain of (go f) (x) Domain restriction: x + each value using comma.) (If there's more...
The Casings Plant of Wyoming Machines makes plastics shells for the company's calculators. (Each calculator requires one shell.) For each of the next two years, Wyoming expects to sell 660,000...
(f) A windowless office is to be illuminated for 15 hours per day, for 6 days per week, for 50 weeks per year. The floor is 20 m long and 12 m wide. An overall illumination of 450 Lux is to be...
Give the series of basic transformation matrices that transform the wedge below so that it can sit "on top of" the following parallelepiped to form a simple "house" with the ridge line of the roof...
Management is considering a $100,000 investment in a project with a 5-year life and no residual value. If the total income from the project is expected to be $60,000 and recognition is given to the...
The domain of the variable in the expression x 3/x + 4 is________.
For the following reactions, write the ratios that can be established among molar amounts of the various compounds. (a) 2 H 2 + O 2 2 H 2 O (b) 2 H 2 O 2 2 H 2 O + O 2 (c) P 4 + 5 O 2 P 4 O 10 (d)...
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...
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...
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 ,...
ABC Company engaged in the following transaction in October 2 0 1 7 Oct 7 Sold Merchandise on credit to L Barrett $ 6 0 0 0 8 Purchased merchandise on credit from Bennett Company $ 1 2 , 0 0 0 . 9...
Lime Corporation, with E & P of $500,000, distributes land (worth $300,000, adjusted basis of $350,000) to Harry, its sole shareholder. The land is subject to a liability of $120,000, which Harry...
A comic store began operations in 2018 and, although it is incorporated as a limited liability company, it decided to be taxed as a corporation. In its first year, the comic store broke even. In...

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

Question:

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

Step by Step Answer:

a b Expanding the sum to see things more clearly ...View the full answer

Discrete Time Signal Processing

Students also viewed these Telecommunication Engineering questions