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Counter examples to Stearn's conjecture on error surfaces of adaptive IIR filters

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2 Author(s)
Fan, H. ; Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA ; Nayeri, M.

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

Published in:
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Date of Conference: 11-14 Apr 1988

Page(s):
1568 - 1571 vol.3
Meeting Date :
11 Apr 1988-14 Apr 1988
ISSN :
1520-6149
INSPEC Accession Number:
3247324
Conference Location :
New York, NY
Digital Object Identifier :
10.1109/ICASSP.1988.196908
Product Type:
Conference Publications

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