Question: A system is governed by the differential equation (a, b, and c are non-negative constants) (a) Find H(f) (b) Find and plot |H (f)| and

A system is governed by the differential equation (a, b, and c are non-negative constants) dy (t) dx (t) + ay (t) = b dt +cx (t) dt

(a) Find H(f) 

(b) Find and plot |H (f)| and /H(f) for c = 0. %D

(c) Find and plot |H (f)| and dy (t) dx (t) + ay (t) = b dt +cx (t)

dy (t) dx (t) + ay (t) = b dt +cx (t) dt /H(f) for c = 0. %D

Step by Step Solution

★★★★★

3.40 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Fourier transform both sides of the differential e... 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

Students Have Also Explored These Related Principles Communications Systems Questions!

Q:

(a) Applying the principle of conservation of energy, derive a third differential equation for the general motion of the top of Prob. 18.137. (b) Eliminating the derivatives and from the equation...

Q:

A stirred tank with volume V t? (L) is charged with V 1 (L) of a liquid. B. The space above the liquid (volume V g = V t ? V 1 ) is filled with a pure gas, A, at an initial pressure P 0 (atm). The...

Q:

In this problem, we derive an empirical formula for the average signal-to-(quantization) noise ratio of a DM system with a sinusoidal signal of amplitude A and frequency fm as the test signal. Assume...

Q:

D O NO T Ta KE IF YOU CANNOT ANSWEAR ALL THE QUESTION AS SUPPOSED OR I WILL RATE UNHELPFUL AND REPORT FOR PLAG Peru Domestic: a bond is issued in the US Global: a bond is issued in the US and foreign...

Q:

Yego Domestic: a bond is issued in the US Global: a bond is issued in the US and foreign markets Eurobonds: a bond denominated in USD is issued in the foreign market. You need to estimate the...

Q:

Digrams are necessary where applicable Question: 1. Suppose the price of x1 is $20 and the price of x2 is $4. If good x1 is on the horizontal axis... 1. Suppose the price of x, is $20 and the price...

Q:

Planning Demand and Supply in a Supply Chain Capacity Planning and Assignment 1 utdallas.edu/~metin Outline Capacity Planning Product-to-plant Assignment utdallas.edu/~metin 2 Deterministic Capacity...

Q:

1. [5 marks] Let 2 HI) : bx + 613' where a,b and c are nonzero constants. Find the polynomials 3(25) and [(1) such that 5(1) best approximates f (z) for small values of I, and 1(1) best approximates...

Q:

An occasion coordinator is arranging a program for a gathering of 20 individuals who need to set out on a touring trip. Because of space imperative at the offices to be visited the association...

Q:

4. Vacancy costs and the labor market. Consider the search-theoretic model of the labor market of Diamond {1982), Mortensen (1982} and Pissarides (1985). a. The equilibrium tightness of the labor...

Q:

IFRS requires greater disclosure for inventory compared with ASPE. List the additional requirements and explain what benefit each one might serve for the users of the financial statements.

Q:

Apple Inc. is the number one online music retailer through its iTunes music store. Apple sells iTunes gift cards in $15, $25, and $50 increments. Assume Apple sells $21 million in iTunes gift cards...

Q:

This exercise is Thought Question 13.3. The paired t-test introduced in Section 13.3 and the two-sample t-test introduced in Section 13.4 are both used to compare two sets of measurements, and the...

Q:

Task 1: Rerun the analysis in this chapter using principal component analysis and compare the results to those in the chapter. (Set the iterations to convergence to 30.)

Q:

Let D = 5.00r 2 a r mC/m 2 for r 0.08 m and D = 0.205 a r /r 2 C/m 2 for r 0.08 m. (a) Find for r = 0.06 m. (b) Find for r = 0.1 m. (c) What surface charge density could be located at r = 0.08...

Q:

Repeat Problem 3.8, but use D = and take an appropriate volume integral. In Problem Use Gausss law in integral form to show that an inverse distance field in spherical coordinates, D = Aa r /r ,...

Q:

In the region of free space that includes the volume 2

Q:

The example space posting the eight straightforward occasions that are conceivable when a couple has three youngsters is {bbb, bbg, weave, bgg, gbb, gbg, ggb, ggg}. In the wake of recognizing the...

Q:

3. Testing for Significance Q: Is known: SSE = 1,530 SST = 15,730 MSE = 191.25 MSR = 14,200 n = 10 p-value = 0.000 Dit: Does the F-test show the effect of free variation on the dependent variation

Q:

company predicts that 5 percent of its credit sales will never be collected, 4 rcent of its sales will be collected in the month of the sale, and the remaining 5: arcent will be collected in the...