TY - JOUR
T1 - A comparison of optimized higher order spectral detection techniques for non-gaussian signals
AU - Garth, Lee M.
AU - Bresler, Yoram
N1 - Funding Information:
Manuscript received December 7, 1993; revised November 16, 1995. This work was supported by a Phase I1 Small Business Innovation Research contract under NOSC Contract N66001-91-C-7017 and by the National Science Foundation under Grant MIP-9 1-57377. The associate editor coordinating the review of this paper and approving it for publication was Dr. Athina Petropulu. The authors are with the Coordinated Science Laboratory, Department of Electrical and Computer Engineering, University of Illinois at Urbaua-Champaign, Urbana, IL 61801 USA (e-mail: 1-gartheuiwedu). Publisher Item Identifier S 1053-S87X(96)03048-6.
PY - 1996
Y1 - 1996
N2 - Using the Gaussian noise rejection property of higher order spectra (HOS), HOS-based detectors have been proposed that outperform conventional second-order techniques in certain scenarios. Based on statistical tests proposed by Subba Rao and Gabr, as well as Hinich, recently, Kletter and Messer, and Hinich and Wilson, have developed similar bifrequencydomain detectors that are dependent on bispectral estimates of the observation process. Formalizing the estimate consistency requirements and the asymptotics for these detectors, we derive a new F-test statistic. We consider the detrimental effects of using spectral estimates in the denominator of Hinich's test. We determine refined conditional distributions for third- and fourth-order versions of his detector. We also modify his test for colored scenarios. Extending the bispectral detectors to their A-th-order counterparts, we calculate the optimal smoothing bandwidth to use in constructing the HOS estimates, producing the best detection performances for both our F-test and Hinich's test with our refined distributions. These new bandwidths yield significant improvements in detector performance over previous results. For the finite sample case, our calculations characterize the tradeoff between the two detectors and demonstrate that a larger smoothing bandwidth than the one suggested by previous researchers should be used. Our calculations are verified using simulations for both white and colored cases. (o; 1996 IEEE.
AB - Using the Gaussian noise rejection property of higher order spectra (HOS), HOS-based detectors have been proposed that outperform conventional second-order techniques in certain scenarios. Based on statistical tests proposed by Subba Rao and Gabr, as well as Hinich, recently, Kletter and Messer, and Hinich and Wilson, have developed similar bifrequencydomain detectors that are dependent on bispectral estimates of the observation process. Formalizing the estimate consistency requirements and the asymptotics for these detectors, we derive a new F-test statistic. We consider the detrimental effects of using spectral estimates in the denominator of Hinich's test. We determine refined conditional distributions for third- and fourth-order versions of his detector. We also modify his test for colored scenarios. Extending the bispectral detectors to their A-th-order counterparts, we calculate the optimal smoothing bandwidth to use in constructing the HOS estimates, producing the best detection performances for both our F-test and Hinich's test with our refined distributions. These new bandwidths yield significant improvements in detector performance over previous results. For the finite sample case, our calculations characterize the tradeoff between the two detectors and demonstrate that a larger smoothing bandwidth than the one suggested by previous researchers should be used. Our calculations are verified using simulations for both white and colored cases. (o; 1996 IEEE.
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U2 - 10.1109/78.502332
DO - 10.1109/78.502332
M3 - Article
AN - SCOPUS:0030142569
VL - 44
SP - 1198
EP - 1213
JO - IRE Transactions on Audio
JF - IRE Transactions on Audio
SN - 1053-587X
IS - 5
ER -