How to do exhaustive search in case of Maximum Likelihood detector in MATLAB ?
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Hello all, I came across the following Maximum Likelihood detector expression:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518786/image.png)
where
is received signal of dimension
,
is channel between transmitter to receiver of dimension
and
is transmitted signal of dimension
such that
, L denotes time slots.
is a set that consists of N column vectors of dimension
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518791/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518796/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518801/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518806/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518811/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518816/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518821/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518826/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518831/image.png)
Also each
, i ranging from 1 to L, is chosen randomly from set
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518836/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518841/image.png)
My query is how to do exhaustive search over
.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1518846/image.png)
Any help in this regard will be highly appreciated.
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