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

Function functions, Function Functions: The one reason for using funct...

Function Functions: The one reason for using function handles is to be able to pass functions to the other functions-these are known as function functions. For illustration

Excel, Ask question Excel Ch 1.A-Grader Project-Training Workshops 1.5#Mini...

Ask question Excel Ch 1.A-Grader Project-Training Workshops 1.5#Minimum 100 words accepted#

Visual cryptography, how to implement visual cryptography on grayscale ima...

how to implement visual cryptography on grayscale images

Matlabs quad function to perform the integral, We wish to numerically perfo...

We wish to numerically perform the following integration: (a) Use Matlab's quad function to perform the above integral. (b) Analytically evaluate the integral (e.g. do t

Alex Takahashi, I need assistance in learning on how to do simulation of sy...

I need assistance in learning on how to do simulation of system described with an algebraic equations.

Design and implement binary digital modulation, Design and implement Binary...

Design and implement Binary digital modulation for a specific input signal frequency, sampling frequency and signal level for binary frequency shift keying (BFSK) by applying MATLA

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

Power generating capability, a. Run the simulation you developed for 10 one...

a. Run the simulation you developed for 10 one-day periods. Provide a table of the Peak Power required for each day. b. Based on this information, and the fact additional capaci

Example of hold and legend function, Example of Hold and legend function: ...

Example of Hold and legend function: Running this script will generate two individual figure windows. If there is not any other active figure window, the first, that is the ba

Introduction to vectors, In this lab, we study the three concepts. Vector i...

In this lab, we study the three concepts. Vector is used to store more than one value into single variable. It is similar to array (other programming language). Script is a collect

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