# What is the matched filter bound?

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#### David83

##### Advanced Member level 1
Hello,

In frequency selective channels, researchers compare their results with what so called matched filter bound (MFB). What is MFB exactly? Suppose we have a L-symbol length multiparty channel, then is MFB equivalent to having like L receive antennas at the receiver, and the received signal looks like the following:

$\mathbf{y}=x\mathbf{h}+\mathbf{z}$

where bold face letters means L-dimensional vectors?

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