Determine the following by applying the Fourier convolution property to known Fourier transforms: a. FT {?...

Determine the following by applying the Fourier convolution property to known Fourier transforms:

a. FT {? (t )} , where ? (t ) = rect (t ) ? rect (t ) .

b. FT{? (t)cos(2pifct)}

c. FT{ rect( t )cos^2( 2pi*fc*t))

d. FT{rect(t)cos(2pif1t)cos(2pi f2t)}, where f2 >> f1 >1.

Expert Solution

Manojponduru answered 2 years ago

What is the benefit of using Fourier transforms in complex formulation.

Developing filters using convolution theorem and Fourier Transform. You have been hired as an Engineering Mathematician...

Developing filters using convolution theorem and Fourier Transform. You have been hired as an Engineering Mathematician at a consulting firm located in Saint Louis. On your first job, you have been asked to mathematically design a frequency filter that removes from a standard beacon signal a periodic interference generated by a rotatory machine located in the basement of the company. Please see below for more details: Let s(t) be the standard beacon signal that is being communicated. Below you can...

Design a convolution mask that does the following and implement the convolution process (Pls do not...

Design a convolution mask that does the following and implement the convolution process (Pls do not use any image processing library functions) 1. smoothing 2. sharpening 3. detect edges **Please do not use any image processing library functions.**

(A) Explain what a Fourier Transform (FT) does in plain English. (B) Explain the advantages of...

(A) Explain what a Fourier Transform (FT) does in plain English. (B) Explain the advantages of a FT instrument over a constant wavelength diffuse instrument.

Interpreting and Applying Disclosures on Property and Equipment Following are selected disclosures from the Rohm and...

Interpreting and Applying Disclosures on Property and Equipment Following are selected disclosures from the Rohm and Haas Company (a specialty chemical company) 2005 10-K. Land, Building and Equipment, Net (in millions) 2005 2004 Land $ 139 $ 141 Buildings and improvements 1,683 1,744 Machinery and equipment 5,570 5,656 Capitalized interest 329 320 Construction in progress 168 166 Land, Building and Equipment, Gross 7,889 8,027 Less: Accumulated depreciation 5,208 5,098 Total $ 2,681 $ 2,929 The principal lives (in years) used...

A filled water bed has the dimensions 8.0 ft x 7.0 ft x 0.75 ft. Determine...

A filled water bed has the dimensions 8.0 ft x 7.0 ft x 0.75 ft. Determine the mass of water, in kilograms, needed to fill the bed. Density of water = 1.00 g/cm^3.

In the following various property transactions in 2018, determine the basis of property sold, as wells...

In the following various property transactions in 2018, determine the basis of property sold, as wells as the amount and character of gain or loss recognized. a) On December 15, 2017, Tom received 100 shares of Foster Corp. as compensation for services. The adjusted basis of the stock was $4,000, and its fair market value at the time of transfer was $5,000. Tom sold the stock of February 15, 2018 for $7,500. (Sale Price: $7,500) b) On December 15, 2017,...

Question

Determine the following by applying the Fourier convolution property to known Fourier transforms: a. FT {?...

Solutions

Expert Solution

Related Solutions