Overdetermined spectral analysis of short data records
Authors: Dendrinos, Markos 
Rangoussi, Maria 
Carayiannis, George 
Publisher: IEEE
Issue Date: 1-Dec-1988
Conference: IEEE International Symposium on Circuits and Systems (ISCAS 1988) 
Book: Proceedings of IEEE International Symposium on Circuits and Systems 
Volume: 2
Keywords: Short data records, Spectral analysis, Hypersensitivity, Autocorrelation matrix, Overdetermined approach, Short signal frames, Autocorrelation lags, Estimation performance, Biased measure, Signal-to-noise ratio, Unbiased measure, Frame length
Abstract: 
The concept of using more than the minimal set of the normal equations was introduced in spectral analysis in order to counteract the hypersensitvity of the model's parameters. A simultaneous vertical and horizontal extension of the autocorrelation matrix leads to an overdetermined, order-extended system. The application of the overdetermined approach to the analysis of short signal frames is examined. A comparative study of the autocorrelation lags used in the overdetermined matrices, based on the biased and unbiased autocorrelation estimators, as well as their estimation performance, is presented. The authors suggest the use of the biased measure in the case of low SNR (signal-to-noise ratio) and short data records, since experimental results illustrate a sensitivity of the unbiased measure to the noise ratio and the frame length. However, when the conditions become better (higher SNR or more samples available) the unbiased measure tends to yield more accurate estimates than those of the biased one.
ISBN: 9517212402
ISSN: 02714310
DOI: 10.1109/ISCAS.1988.15235
URI: https://uniwacris.uniwa.gr/handle/3000/666
Type: Conference Paper
Department: Department of Archival, Library and Information Studies 
School: School of Administrative, Economics and Social Sciences 
Affiliation: University of West Attica (UNIWA) 
Appears in Collections:Book Chapter / Κεφάλαιο Βιβλίου

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