Reduced rank linear predictive frequency and direction-of-arrival (DOA
) estimation algorithms use the singular value decomposition (SVD) to
produce a noise-cleaned linear prediction vector, These algorithms the
n root this vector to obtain a subset of roots, whose angles contain t
he desired frequency or DOA information, The roots closest to the unit
circle are deemed to be the ''signal roots.'' The rest of the roots a
re ''extraneous.'' The extraneous roots are expensive to calculate. Fu
rther, a search must be done to discern the signal roots from the extr
aneous roots, Were, we present a reduced polynomial order linear predi
ction method that simplifies the rooting computation for applications
where high-speed processing is critical.