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L(p)-approximation by the iteratively reweighted least squares method and the design of digital FIR filters in one dimension

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dc.contributor.advisor Burrus, C. Sidney
dc.creator Barreto, Jose Antonio
dc.date.accessioned 2009-06-04T00:23:19Z
dc.date.available 2009-06-04T00:23:19Z
dc.date.issued 1993
dc.identifier.uri http://hdl.handle.net/1911/13689
dc.description.abstract In this thesis a new and simple to program approach is proposed in order to obtain an $L\sb{p}$ approximation, 2 $<$ p $<$ $\infty$, based on the Iteratively Reweighted Least Squares (IRLS) method, for designing a linear phase digital finite impulse response (FIR) filter. This technique, interesting in its own right, can also be used as an intermediate design method between the least squared error and the minimum Chebyshev error criteria. Various IRLS algorithms are evaluated through comparison of the number of iterations required for convergence. It is shown that Kahng's (or Fletcher's et al) method with a modified acceleration technique developed in this work performs better, for most practical cases, than the other algorithms examined. A filter design method which allows different norms in different bands is proposed and implemented. An important extension of this method also considers the case of different p's (or different norms) in the stopband.
dc.format.extent 87 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subject Engineering, Electronics and Electrical
dc.title L(p)-approximation by the iteratively reweighted least squares method and the design of digital FIR filters in one dimension
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Electrical and Computer Engineering
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science
dc.identifier.citation Barreto, Jose Antonio. (1993) "L(p)-approximation by the iteratively reweighted least squares method and the design of digital FIR filters in one dimension." Masters Thesis, Rice University. http://hdl.handle.net/1911/13689.

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