Fast fourier transform, Engineering Mathematics

Assignment Help:

From this point on it is assumed that any problem amenable to solution with the aid of the Discrete Fourier Transform (or DFT) will in fact be treated computationally with a fast routine (or FFT), and that the data sets are of length N = 2n, unless noted otherwise. The DFT pair will be written

521_Fast Fourier Transform.png

In this formulation, Y0 represents the average value of the data, the so-called DC term. In addition, |Yn|2 represents the contribution that frequencies near n/N make to total data variance.

(Note: Some FFT routines require that the data first be made complex.)

Experiment with some versions of the FFT available to you, first using a digitised sinusoid as input. Then attempt to duplicate the figure below, comment on variance normalisation.

2432_Fast Fourier Transform1.png


Related Discussions:- Fast fourier transform

Notice at the gym, You notice at the gym that it appears more women tend to...

You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone.  To examine whether this difference is significant, you collect

Value of real and imaginary parts, In the x,y plane, divide up the x-axis b...

In the x,y plane, divide up the x-axis by placing marks at x=a, x=b, and x = -2. Suppose φ is harmonic in the upper half plane and on the segments of the x-axis defined by your mar

Real and imaginary parts, What, to 3 decimal places, is the principal value...

What, to 3 decimal places, is the principal value of [a - ic] (b + id)/10 (real and imaginary parts)? Call the real part, and the imaginary part. Give one (any) other value of th

Value of n, Arrianna spended $5,500 at 7.5% p.a. compounded quarterly for '...

Arrianna spended $5,500 at 7.5% p.a. compounded quarterly for 'n' years. At the end of 'n' years, Arrianna got back $12,000. What is the value of n? (Approximate your answer in yea

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Inverse z transform, after solving the difference equation using z transfor...

after solving the difference equation using z transform, how to find the inverse z transform for the answer

Sinusoidal trigonometrical function, The displacement x meters of a mass fr...

The displacement x meters of a mass from a fixed point about which it is oscillating is given by x=2.3cos?10pt+4.2sin?10pt where t is the time in seconds Express the displaceme

Income tax return, Below are items that affected the 2011 accounting record...

Below are items that affected the 2011 accounting records for Darwin Adaptions Inc. The annual accounting period ended December 31, 2011. No adjusting entries were made during the

Modelling, . The Government of Uganda wants to locate a refinery plant that...

. The Government of Uganda wants to locate a refinery plant that will annually receive crude oil from two wells in Bunyoro region, F1 and F2. The refinery plant will process the cr

Mann''s test for the weibull distribution, How do i perform mann''s test fo...

How do i perform mann''s test for the weibull distribution

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd