IEEE Trans Image Process - Optimal design of FIR triplet halfband filter bank and application in image coding.

Tópicos

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Resumo

This correspondence proposes an efficient semidefinite programming (SDP) method for the design of a class of linear phase finite impulse response triplet halfband filter banks whose filters have optimal frequency selectivity for a prescribed regularity order. The design problem is formulated as the minimization of the least square error subject to peak error constraints and regularity constraints. By using the linear matrix inequality characterization of the trigonometric semi-infinite constraints, it can then be exactly cast as a SDP problem with a small number of variables and, hence, can be solved efficiently. Several design examples of the triplet halfband filter bank are provided for illustration and comparison with previous works. Finally, the image coding performance of the filter bank is presented.

Resumo Limpo

correspond propos effici semidefinit program sdp method design class linear phase finit impuls respons triplet halfband filter bank whose filter optim frequenc select prescrib regular order design problem formul minim least squar error subject peak error constraint regular constraint use linear matrix inequ character trigonometr semiinfinit constraint can exact cast sdp problem small number variabl henc can solv effici sever design exampl triplet halfband filter bank provid illustr comparison previous work final imag code perform filter bank present

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