Title :
A Note on LSI polynomials and Comments on a ´Proof of a Modified form of Shanks´ Conjecture´
Author :
Karivaratharajan, P. ; Reddy, H.
fDate :
9/1/1985 12:00:00 AM
Abstract :
Least Square Inverse (LSI) polynomials are classified into optimal and suboptimal LSI polynomials and the stability of LSI polynomials are investigated in the light of this classification. It is shown that a recent proof of the modified form of Shanks´ conjecture is based on the stability of 1-D suboptimal LSI polynomials which is not guaranteed. This invalidates the proof and leaves the modified Shanks´ conjecture yet to be proved.
Keywords :
Autocorrelation; Circuits and systems; Computer aided software engineering; Equations; Large scale integration; Least squares approximation; Least squares methods; Polynomials; Stability; Two dimensional displays;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1985.1085803
