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

Missing commands, hey ! why the command sawtooth and square does not exist ...

hey ! why the command sawtooth and square does not exist in Matlab R2012a?

What is matlab, MATLAB is a high-performance language for technical computi...

MATLAB is a high-performance language for technical computing. It integrates computation, visualization, and programming in an easy-to-use environment where problems and solutions

Matrix inverse, how to find matrix inverse using matlab command

how to find matrix inverse using matlab command

Solve a programming problem, Write a function rid_multiple_blanks that will...

Write a function rid_multiple_blanks that will receive a string as an input argument. The string contains a sentence that may have multiple blank spaces in between some of the word

Generate a matlab error with a descriptive error message, Write a function ...

Write a function called threshold2 (in a file called 'threshold2.m'). The function takes an arbitrary number of input variables. The first input variable, t, is required and is the

Write MATLAB scripts for the following:, To accept two numbers from the use...

To accept two numbers from the user; Display all prime numbers between these two numbers.

Introduction to file input/output , Introduction to File Input/output (LOAD...

Introduction to File Input/output (LOAD and SAVE): In most cases, the input to a script will come from a data file which has been generated by the other source. It is also use

Systems modelling and simulation , The purpose of this assignment is to use...

The purpose of this assignment is to use Matlab/Simulink to analyse and simulate a mathematical model of an electromechanical system. This system comprises two component subsystems

Illustration of modifying the matrix elements , Illustration of modifying t...

Illustration of modifying the matrix elements: If a single index is used with the matrix, the MATLAB unwinds the matrix column by column. For illustration, for the matrix intm

Built-in functions and help, Built-In Functions and help: There are lo...

Built-In Functions and help: There are lots of built-in functions in a MATLAB. The help command is used to find out what functions MATLAB has, and how to use them. For illustr

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