Designing optimal wireless base station MIMO antennae: Part 2 - A maximum likelihood receiver

Noam Dvoretzki and Zeev Kaplan, CEVA
embedded.com (July 22, 2014)

In MIMO antenna design, the maximum likelihood (ML) receiver has significant advantages, but these come at the price of implementation complexity.

The maximum likelihood (ML) receiver estimator solves the following equation:

For the sake of simplicity, let’s use a SISO single transmit and receive antenna configuration as an example. In this case, y is the signal sampled at the receiver, s is the transmitted symbol, and H is the channel impulse response describing the channel between the transmit antenna and receive antenna.

The receiver looks for the transmitted symbol s, which minimizes this absolute value:

in which s belongs to a group of finite values that are defined by the symbol modulation. For 64QAM modulation, for example, s can have 64 different values.

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