a) Using the definition, demonstrate that the Fourier transform of the derivative of the function f (x) is given by FIS(t) ( ) (iw)F F(t) b) Using the previous paragraph, show that F f(t) ( ) (iw)F f(t) wF f(t) a) Using the definition, demonstrate that the Fourier transform of the derivative of th...

The Answer is in the image, click to view ...

a) Using the definition, demonstrate that the Fourier transform of the derivative of the function f...

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

Question:

Related Book For answer-question

Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

See More Books

Posted Date: Jun 23, 2020 10:09 PM

See More Questions

The density function of X is given by If E[X] = 3/5, find a and b. 0 otherwise
The moment generating function of X is given by MX(t) = exp{2et 2} and that of Y by MY(t) = (3/4et + 1/4)10. If X and Y are independent, what are (a) P{X + Y = 2}? (b) P{XY = 0}? (c) E[XY]?
The demand for good X is given by Research shows that the prices of related goods are given by Py = $5,900 and Pz = $90, while the average income of individuals consuming this product is M =...
Solve the system of equations by substitution. Sx+ y=0 2x + 3y = -7 x = 6, y = -6; (6, -6) x = 7, y = -7; (7, -7) x = -6, y = 6; (-6, 6) x= -7, y = 7; (-7, 7)
Carbon is allowed to diffuse through a steel plate 15 mm thick. The concentrations of carbon at the two faces are 0.65 and 0.30 kg C/m3 Fe, which are maintained constant. If the preexponential and...
Analyze the sources of power that Caruso has available to her to influence the decorators. What advice can you give her to either increase her power base or use her existing power more effectively?
Gavin Jones believes that for a derivative security with price $P(S)$. the values of $\triangle, \Gamma$, and $\Theta$ are related. Show that in fact +SA+ = rP.
Ten-year-old Marla says her classmate Bernadette will never get good grades because she's lazy. Jane believes that Bernadette tries but can't concentrate because her parents are divorcing. Why is...
Primare Corporation provided the following data for last month's manufacturing operations. Purchases of raw materials Indirect materials used in production Direct labor Manufacturing overhead applied...
Transform the E-R diagram of Figure 8-23 into a set of 3NF relations. Make up a primary key where needed and one or more nonkey attributes for each entity. Figure 8-23 TOOL ++ Used_on PROJECT Project...
Premise Relative Position vector Let x denote the position of a point relative to the origin O of an underlying Cartesian coordinate system covering the familiar 3D Euclidean point space &. Letting Q...
What rate of interest compounded annually is involved if a. an investment of $$10$,000 made now will result in a receipt of $$23$,674 ten years from now? b. an investment of $$2$,000 made 18...
AutoFoundry has contacted Centrifugal Casting Company about the purchase of machines for the production of (1) Babbitt bearings, and (2) diesel cylinder liners (engine sleeves). The cost of the...
You have settled on a house for $$180$,000 and need a loan for $$171$,000. You have been offered a $$171$,000 loan for 6.25 percent, plus 2.375 points (applied to only the $$171$,000), plus...
What is the present value of the following future receipts? a. $19,000 five years from now at 9 percent compounded annually b. $8,300 twelve years from now at 15 percent compounded annually c. $6,200...
A subsidiary of a major furniture company manufactures wooden pallets. The plant has the capacity to produce 300,000 pallets per year. Presently, the plant is operating at 70 percent of capacity. The...
Consider fruit farmers planting fruit trees and sell fruits in the market to earn a living. besides providing earnings to the fruit farmers, the fruit trees also beautify the environment and help to...
Describe basic managerial approaches to implementing controls and how these are implemented.
The power of an un-modulated carrier signal is 50 W and the carrier frequency is f c = 40 Hz. A sinusoidal message signal is used to FM modulate it with index = 10. The sinusoidal message signal has...
Let a random variable Z be defined in terms of three independent random variables as Z = 2X 1 + 4X 2 + 3X 3 , where the means of X 1 , X 2 , and X 3 are -1, 5, and -2, respectively, and their...
The input to a quantizer is a random signal having an amplitude probability density function The signal is to be quantized using four quantizing levels x i as shown in Figure 12.44. Determine the...
A political pollster approaches people on the street and asks them to describe their political affiliation. Twenty-eight people describe themselves as Democrats, 25 as Republicans, 8 people provide a...
Listed below are a number of hypothetical research hypotheses. For each hypothesis, identify the independent and dependent variable. a. Male drivers are more likely to exhibit road rage behaviors...
Listed below are a number of research questions and hypotheses from actual published articles. For each hypothesis, identify the independent and dependent variable. a. The use of color in a Yellow...

a) Using the definition, demonstrate that the Fourier transform of the derivative of the function f...

Question:

Expert Answer:

Principles of Communications Systems, Modulation and Noise

Students also viewed these mathematics questions