Title :
Counter examples to Stearn´s conjecture on error surfaces of adaptive IIR filters
Author :
Fan, Hong ; Nayeri, Majid
Author_Institution :
Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA
Abstract :
It is shown that although S.D. Stearn´s conjecture (1981) concerning sufficient conditions to guarantee unimodality of error surfaces is valid for first-order and second-order filters, it is not true in general without an additional constraint introduced by T. Soderstrom and P. Stoica (1982). Counterexamples are presented to illustrate the failure of Stearn´s conjecture when Soderstrom´s condition is not satisfied
Keywords :
digital filters; errors; filtering and prediction theory; IIR filters; Soderstrom´s condition; Stearn´s conjecture; adaptive filters; digital filters; error surfaces; infinite impulse response; unimodality; Adaptive filters; Additive noise; Computer errors; Counting circuits; Finite impulse response filter; IIR filters; Mean square error methods; Postal services; Sufficient conditions; System identification;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location :
New York, NY
DOI :
10.1109/ICASSP.1988.196908
