The design of reduced order equalizers

The use of Kalman filtering for designing equalizers for communication channels with intersymbol interference is addressed. If the finite impulse response model describing the intersymbol interference is many samples long, then the order of the state vector must be high. The high dimensionality of the corresponding Kalman filter would make it unacceptable for high speed operation due to the number of required calculations. A reduced-order option which requires far fewer calculations than, but may have performance almost as good as, the full order Kalman filter is provided