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Optimization-based design and implementation of multi-dimensional zero-phase IIR filters
Design automation digital filters infinite-impulse response filters iterative methods multidimensional systems, optimization
2015/8/10
This paper considers multi-dimensional infinite impulse response (IIR) filters that are iteratively implemented. The focus is on zero-phase filters with symmetric polynomials in the numerator and deno...
On sub-ideal causal smoothing filters
smoothing filters casual filters sub-ideal filters Hardy spaces
2011/3/1
Smoothing filters are studied for continuous time processes. The consideration is restricted by the linear causal filters represented as convolution integrals over the historical data. This filters ar...
Path sampling for particle filters with application to multi-target tracking
Path sampling particle filters with application multi-target tracking
2010/12/3
In recent work [15], we have presented a novel approach for improving particle filters for multi-target tracking. The suggested approach was based on Girsanov’s change of measure theorem for stochasti...
Q-type Pseudo- BCI Algebras and 2-type Pseudo- q Filters
Q-type pseudo- BCI algebra pseudo-BCK algebra T-type pseudo- BCI algebra T-type pseudo-BCI filter 2-type pseudo- q filter
2012/9/25
As a generalization of quasi-associative BCI-algebra, the notion of Q-type pseudo- BCI algebra is introduced. The relationship among pseudo- BCK algebra, T-type pseudo- BCI algebra and Q-type pseud...
General Solutions of Matrix Extension Associated with Multiple Channel Biorthogonal Wavelet Filters
matrix extension refinement equation biorthogonal wavelet
2007/12/11
This paper is concerned with seeking the general solutions of matrix equation $\widetilde{M}(\xi)M^*(\xi)=I_s$ for the construction of multiple channel biorthogonal wavelets, provided that some specia...
Wavelet filters and infinite-dimensional unitary groups
Wavelet filters infinite-dimensional unitary groups
2010/11/1
In this paper, we study wavelet filters and their dependence on two numbers, the scale N and the genus g. We show that the wavelet filters, in the quadrature mirror case, have a harmonic analysis whi...