How to do exhaustive search in case of Maximum Likelihood detector in MATLAB ?

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chaaru datta 2023-10-23

Hello all, I came across the following Maximum Likelihood detector expression:

----(1)

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

Also each

, i ranging from 1 to L, is chosen randomly from set

My query is how to do exhaustive search over

Any help in this regard will be highly appreciated.

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