An Overview of Modified Shanks ’ Conjecture and Comments on its Validity

Abstract: This study reports the validity of the modified Shanks ’ conjecture on the planar least squares inverse (PLSI) method of stabilizing two-dimensional (2-D) recursive digital filters. A theoretical procedure proposed based on the Lagrange multiplier method of mathematical optimization. The results indicate that the modified Shanks ’ conjecture reported by Jury was valid for special classes of 2-D polynomials