Zero forcing vs matched filtering vs LMMSE

1. What is zero forcing in MIMO?
2. What is zero forcing algorithm?
3. What is the difference between matched filter and optimum filter?
4. Is the matched filter linear or non linear?

What is zero forcing in MIMO?

Zero-forcing (or null-steering) precoding is a method of spatial signal processing by which a multiple antenna transmitter can null the multiuser interference in a multi-user MIMO wireless communication system.

What is zero forcing algorithm?

The zero-forcing equalizer is a form of linear equalization algorithm used in communication systems which applies the inverse of the frequency response of the channel. This form of equalizer was first proposed by Robert Lucky.

What is the difference between matched filter and optimum filter?

Normally matched filter is used for single wave form such as radar while correlation filters are designed to optimize SNR at the output. Both are called optimum filters in terms of SNR at the output.

Is the matched filter linear or non linear?

Abstract. Matched filters are the optimal linear filters for signal detection under linear channel and white noise conditions. Their optimality is guaranteed in the additive white Gaussian noise channel due to the sufficiency of second order statistics.