Question: Show that the Fourier transform of the transform, F{(x)}, equals 2(-x), and that this is not the inverse transform of the transform, which equals (x).

Show that the Fourier transform of the transform, F{ƒ(x)}, equals 2πƒ(-x), and that this is not the inverse transform of the transform, which equals ƒ(x). This problem was suggested by Mr. D. Chapman while a student at the University of Ottawa.

Step by Step Solution

★★★★★

3.46 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

115 a fu... View full answer

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 Optics Questions!

The symmetric Bartlett window, which arises in many aspects of power spectrum estimation, it is defined as? The Bartlett window is particularly attractive for obtaining estimates of the power...

The autocorrelation sequence of a signal x[n] is defined as (a) Show that for an appropriate choice of the signal g[n], R x [n] = x[n] * g[n], and identify the proper choice for g[n]. (b) Show that...

Consider the function and first check that the exponents are unitless. Then show that the Fourier transform of E(t) is You might want to use the integral identity ,-! E(t) = Ege-i@ote-7/27 E(@) =...

ENSURE WORK IS ORIGINAL OR I REJECT AND REPORT YOU TON THE SUPPORT INSTANTLYThe end result does now not should be taken care of. You may additionally expect n 6 length(xs). [Hint: Function least is a...

1. A time domain real-signal x ( t ) has a Fourier Transform property of X (w ) = X* (-w). Consider the following frequency domain description of a signal G ( w ) : G(@)= 2, 5 5 0 510 0, elsewhere...

Problem 4 0 : ( 1 5 points ) This problem shows how to calculate the Fourier transform of periodic signals. ( 1 point ) Find the Fourier transform of ( t ) . ( 2 point ) In Problem Set 4 , Problem 1...

"Publication added" If the publication object is not valid print: "Failed to add publication!" and delete the allocated memory., using multiple inputs such as motion sensing, facial expression...

what should i put for amp_scale or part d ? using matlab what should i put for amp_scale or part d ? using matlab what should i put for amp_scale or part d ? using matlab what should i put for...

ANSWER ALL THE QUESTIONS CAREFULLY Section A Operating Systems As nicely as storage and retrieval of facts, the capabilities of a submitting machine consist of: ? naming and call resolution ? get...

1. [10 points] Recall the Discrete Fourier Transform matrix F from Homework 1: 2 2 4 n-4 4 2 2 where ? = exp(-12n) E C. Given some vector x = X1 x2 XT EC" , we wish to compute vector y-Fx-[y| ?? ??)"...

What are the steps involved in constructing a portfolio? Discuss potential hurdles in executing the analytic approach.

A study examined national attitudes about antidepressants. The study revealed that approximately 70% believe "antidepressants do not really cure anything they just cover up the real trouble."...

Why is the liability section of the balance sheet of primary importance to bankers? Question 6 options: 1 ) To evaluate the entity's credit quality. 2 ) To assist in understanding the entity's...

ADVANCED: You are valuing a firmwith a pro forma (i.e., with your forward projection of what the cash flows will be). The firm had cash flows of $1,000,000 today, and is growing by a rate of 20% per...

Consider the nonrelativistic Schrodinger equation for a particle moving in a time dependent, 3-dimensional potential well: (a) Seek a geometric-optics solution to this equation with the form = Ae i...

Consider a 1-dimensionalwave packet with dispersion relation = (k). For concreteness, let A(k)be a narrow Gaussian peaked around (a) Expand as (k) = o x o with x o a constant, and assume for...

(a) In connection with Eq. (7.35b), explain why is the tiny volume occupied by a collection of the waves quanta. (b) Choose for the collection of quanta those that occupy a cross sectional area A...

Ricky Ripovs Pawn Shop charges an interest rate of 15.75 percent per month on loans to its customers. Like all lenders, Ricky must report an APR to consumers. Requirement 1: What rate should the shop...

Lights Incorporated calculates cost for an equivalent unit of production using the weighted-average method. Data for July: Work-in-process inventory, July 1 (37,500 units): Direct materials (97%...

When a scientist conducted a genetics experiment withpeas, one sample of offspring consisted of 911 peas, with 708 of them having red flowers. If we assume, as the scientist did, that under...