How to implement sliding-window algorithm in matlab ?

Hi,

I need to use sliding window algorithm, but it's the first time that I face to use it, so I need help to implement the following in matlab :

I have a radar_noise vector x with size (5000*1), how can I find covariance matrix by using sliding window algorithm?

Also I have a radar_received signal vector s with size (5000*1), how can I use sliding window to find the received signal model, providing that :

The number of Quantization =2.
The number of samples = 32.

[EDITED: Jan Simon]: The following is copied from "ADAPTIVE ARRAY DETECTION ALGORITHMS WITH STEERING VECTOR MISMATCH", LIM Chin Heng, Elias Aboutanios and Bernard Mulgrew, published in Circuits and Systems, 2006. APCCAS 2006. IEEE Asia Pacific Conference

The signal model used is as follows: Consider a radar system utilizing an Ns-element array with inter-element spacing d.

The radar transmits an Mt-pulse waveform in its coherent processing interval (CPI).

The received data can then be partitioned in both space and time, by using a sliding window, into an (N*M) space-time snapshot X'.

This partitioning will result in K = (Ns -N +1)(Mt -M +1) snapshot matrices being generated for processing.

The columns of these space-time snapshots are then stacked into inter-leaved column vectors xk of size (NM*1).

The K columns are then arranged as the columns of the (NM*K)matrix X. The signal model used is then:

   X =ast'- N

where both s and t are space-time vectors and a is a complex amplitude.

N is the (NM * K ) zero-mean Gaussian clutter-plus-noise matrix with independent and identically distributed (iid) columns nk approximately CN (0,C), where CN is complex Gaussian noise and C is the covariance matrix.

The space-time clutter-plus-noise covariance matrix is defined as C, where E[N * Hermitian(N)] and E[.] is the expectation operator.

Thanks

[Jan]

What kind of help do you expect? This is a not trivial problem and it is very unlikely, that someone spends the time to create and test a complete code for you.

[Andrew Newell]

You could try searching the File Exchange.

[Walter Roberson]

What is your specific MATLAB question? What code do you have so far to implement this? What MATLAB issue are you stuck on?

Why do you keep deleting your questions and posting new copies of them? To the readers, doing that gives the impression that you are in a hurry to have someone do the work for you. You will have more success with readers when you post the MATLAB code you have developed and indicate the difference between what it does and what you expect that code to do, including any error messages.

Although it is not uncommon for posters here to work with theory, this is a MATLAB language forum, and anything theoretical posted here is a bonus.

[zayed]

I just need to know how to do sliding window algorithm in matlab.Thanks

[Jan]

@zayed: Well, you just want us to solve your problem completely. I prefer to assist people who show more effort.

Posting a question in multiple forums wastes the time of the ones, who want to help you. Please add at least a link to the other questions.

If you copy a paragraph of a paper of Lim Chin Heng, Elias Aboutanios and Bernard Mulgrew, it would be a good idea to mention this.

Answer 1

[Walter Roberson]

http://www.mathworks.com/matlabcentral/answers/12805-how-do-i-apply-a-sliding-window-on-an-image

http://www.mathworks.com/matlabcentral/newsreader/view_thread/306432

http://www.mathworks.com/matlabcentral/fileexchange/29029-summarizes-data-using-a-sliding-window-without-loops

http://www.mathworks.com/help/toolbox/dsp/ref/adaptfilt.hswrls.html

http://www.mathworks.com/help/toolbox/images/ref/nlfilter.html

[Jan]

@Walter: When I really need it, would you be so kind and google my questions also? Thanks.

[Walter Roberson]

@Jan: I already do. Those unexpected cravings you've been getting lately are the "banner ads" from the Mind Writing service I use.

Answer 2

[ABISHA P]

how to use sliding window algorithm in matlab for the real time signal using simulink model?

[Walter Roberson]

https://www.mathworks.com/matlabcentral/newsreader/view_thread/320566

https://www.mathworks.com/help/comm/ref/windowedintegrator.html

https://www.mathworks.com/help/dsp/ug/create-moving-average-system-object.html