  We present a new modified Burg-Like algorithm for spectral estimation and
adaptive signal processing, that yield the same prediction coefficients given
by the Levinson algorithm for the solution of the normal equations. An
equivalency proof is given for both the 1D signal and 2D signal cases.
Numerical simulations illustrate the improved accuracy and stability in
spectral power amplitude and localization; especially in the cases of low
signal to noise ratio, and (or) augmenting the used prediction coefficients
number for a relatively short data records. Also our simulations illustrate
that for relatively short data records the unmodified version of Burg Algorithm
fail to minimize the mean square residual error beyond certain Order, while the
new algorithm continue the minimization with Order elevation.
