Abstract: In many signal processing applications there is often a set of linear equations to-be solved. According to signal properties, certain property mappings can be used on the data ma trix in the set of linear equations so that the effect of noise would be reduced and the accuracy of signal parameter estimation would be improved. The paper is devoted to this subject and the convergence of the iterative property mapping process associated with a data matrix is directly proved.
Applying this method to spectral line estimation, the specific iterative property mapping algorithm is derived with a sinusoid autocorrelation model. A given numerical example illustrates the improvement of high resolution performance.