Unified eigenfilter approach: with applications to spectral/spatial filtering

The eigenfilter approach is extended to solve general least-squares approximation problems with linear constraints. Such extension unifies previous work in eigenfilters and many other filter design problems, including spectral/spatial filtering, one-dimensional or multidimensional filters, data inde...

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Bibliographic Details
Published in1993 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 331 - 334 vol.1
Main Author Chen, T.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.1993
Subjects
Eigenvalues and eigenfunctions
Filtering
Finite impulse response filter
Frequency
Multidimensional systems
Nonlinear filters
Passband
Sensor arrays
Symmetric matrices
Vectors
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Summary:The eigenfilter approach is extended to solve general least-squares approximation problems with linear constraints. Such extension unifies previous work in eigenfilters and many other filter design problems, including spectral/spatial filtering, one-dimensional or multidimensional filters, data independent or statistically optimal filtering, etc. With this approach, various filter design problems are transformed into problems of finding an eigenvector of a positive definite matrix that is determined by filter design specifications. This approach has the advantage that many filter design constraints can be incorporated easily. A number of design examples are presented to show the usefulness and flexibility of the proposed approach.< >
ISBN:9780780312814
0780312813
DOI:10.1109/ISCAS.1993.393725