Write a matlab function, MATLAB Programming

Assignment Help:

Write a MATLAB function called pgm which calculates the periodogram. The function inputs should be the length input vector x and its output should be the length N periodogram estimate Pxx. Generate a length N discrete random signal with the randn function and use the pgm to estimate the PSD for N = 128, 256, and 512. Inspect and comment upon the results. The theoretical autocorrelation function for this discrete Gaussian random signal equals σ2δ (i.e. there is zero similarity between the signal and a shifted version of it), where is the standard deviation of the random signal; for the above random signal (see help randn), is equal to 1. Therefore its true PSD is a constant, unity, for all frequencies. Such a signal is referred to as white noise because it has a constant spectrum independent of frequency, as an, albeit approximate, analogy with white light. The difference between this ideal PSD and those estimated with the datasets is due, in part, to their ?nite lengths. One method to improve these estimates is to apply frequency domain smoothing.

- Employ the ?lt?lt command within MATLAB to smooth the PSD estimates with a zero phase FIR ?lter with impulse response sequence 0.2*[1 1 1 1 1]. Does this improve the apparent PSD estimate?

- Generate a length 1024 discrete random signal with the randn function and sub-divide the signal into eight separate 128 point signals. Estimate the PSD for each length 128 signal and display on two plots the eight results (Note: Break each window into 2× 2 sections. Read help ?gure on how to obtain the second window). Notice the variation of the estimates.

- These eight results can be averaged to yield a new PSD estimator called the averaged periodogram which has less variation than the individual PSDs. Display this result.


Related Discussions:- Write a matlab function

Example of printing vectors, Example of Printing vectors: For vectors ...

Example of Printing vectors: For vectors & matrices, even though formatting cannot be specified, the disp function may be simpler to use in common than fprintf as it displays

Determine an expression for the transfer function, The circuit diagram of a...

The circuit diagram of an active filter is shown below. (a) Determine an expression for the transfer function of the filter. (b) Hence find an expression for the frequency res

Structure tensor, How to calculate 2D/3D structure tensor of image

How to calculate 2D/3D structure tensor of image

Help with MATLAB, I have couple questions in MATLAB I need help in

I have couple questions in MATLAB I need help in

Earth''s magnetic field, to plot Earth''s magnetic field on world map in ma...

to plot Earth''s magnetic field on world map in matlab

Algorithms, Algorithms: Before writing any computer program, it is ver...

Algorithms: Before writing any computer program, it is very useful to first outline the steps which will be essential. An algorithm is the series of steps required to solve a

Vector-array multiplication in simulink, Statement of Problem I need to...

Statement of Problem I need to realise vector-array multiplication in Simulink. This has been realised in Matlab but because the process yielding the received signal is in Simu

Linspace function, Linspace function: Likewise, the linspace function ...

Linspace function: Likewise, the linspace function generates a linearly spaced vector; linspace(x,y,n) generates a vector with n values in the inclusive range from x to y. For

Help me..., construct a matlab program to calculate and to plot the electro...

construct a matlab program to calculate and to plot the electron and hole concentration as a function of the Fermi-level in an energy gab of Si at a Given temperature and the carri

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