학술논문

Affine equivariance in multichannel OS-filtering
Document Type
Conference
Source
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181) Acoustics, speech, and signal processing Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on. 5:2881-2884 vol.5 1998
Subject
Signal Processing and Analysis
Components, Circuits, Devices and Systems
Filters
Filtering
Biomedical signal processing
Signal processing algorithms
Virtual manufacturing
Robustness
Electric breakdown
Laboratories
Signal processing
Statistics
Language
ISSN
1520-6149
Abstract
Nonlinear multichannel filters have successfully been applied to biomedical signals, multichannel images as well as processing of vector fields. In multichannel signals, component variances and correlations among components may be unequal and time-varying. Such changes can be expressed as an affine transformation of the input signal. In this paper, we investigate how the performance and statistical properties of multichannel filters stemming from order statistics (OS) change under affine transformations. An affine equivariant multichannel filter is introduced and the use of the affine equivariant performance metric replacing the mean square error is proposed. Advantages of affine equivariance are demonstrated in simulation, and filtering examples using real data are given.