Programs to determine discrete fourier transform, MATLAB Programming

Assignment Help:

A 12-point sequence is x (n) defined as x(n) = { 1, 2, 3, 4, 5, 6, 6, 5, 4, 3, 2, 1}. Write MATLAB programs to

(a) Determine the DFT X (k) of x(n) and plot (using stem function) its magnitude and phase.

(b) Determine the DTFT X (e) of x(n) and plot the magnitude and phase of X(e). You need to properly define the resolution of X(e) in the frequency domain.

(c)  Verify that the above DFT is the sampled version of X(e). It might be helpful to combine the above two plots in one graph using the hold function.

(d)  Is it possible to reconstruct the DTFT X(e) from the DFT of X(k)? If possible, give the necessary interpolation formula for reconstruction. If not possible, state why this construction cannot be done.

The programs generating the plots should be provided.


Related Discussions:- Programs to determine discrete fourier transform

Equations of motion of shaft-rotor system, Consider the shaft-rotor system ...

Consider the shaft-rotor system shown in Figure. Write down the equations of motion. Taking  I= 1 kgm 2 and k=10 kNm/rad, for two special cases (α =0.5 and α = 1000) find as many

Grid function - plot functions, Grid function: grid shows grid lin...

Grid function: grid shows grid lines on the graph. Called by itself, it is a toggle which turns the grid lines on & off. Alternatively, the commands grid on & grid off can

Sopping function and upwind scheme, I am trying to implement this equation ...

I am trying to implement this equation u_t=-\u_x\ using upwind scheme. and as a second step, I need to put some stopping function g(h) where u_t=-g(h)\u_x\ how can I write this on

Iterative root fi nding method, The secant method is an iterative root ndi...

The secant method is an iterative root nding method that is super-linear. The method has the advantage that it is faster than linear methods and does not require knowledge of the

Write a script file which will determine the displacement, The mass of the ...

The mass of the spring-mass-damper system shown below was initially displaced by 1 meter to the right and then released. The subsequent acceleration of the mass was measured using

Find divergence of the 2-d vector field, 1. Assume that there exists a surf...

1. Assume that there exists a surface that can be modeled with the equation:  z = e-(x 2 + y 2 ).  a) Calculate ∇z at the point (x = 0, y = 0). b) In addition, use MATLAB to

Two phase moving boundary problem, This problem description is taken from I...

This problem description is taken from Illingworth and Golosnoy [1]: For physical systems of inhomogeneous composition, di usion is often observed to cause a change of phase, even

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