In this paper, we present a structure for two-channel spline graph filter bank with spectral sampling (SGFBSS) on arbitrary undirected graphs. Our proposed has many desirable properties; namely, perfect reconstruction, critical in domain, flexibility choice of shape and cut-off frequency the filters, low complexity implementation synthesis section, thanks to our closed-form derivation its spars...

In this paper, we consider the design of 2D (two-dimensional) H R (finite impulse response) multirate filter banks. For a given 2D FIR analysis filter bank, we design a 2D FIR synthesis filter bank to minimize the reconstruction error of the filter banks such that the worst case energy gain between the input and the reconstruction error is below a prescribed bound. Our solution is formulated in...

The design and analysis of nearly-orthogonal symmetric wavelet filter banks has been studied. Methods for analyzing the correlation of the nearly-orthogonal filter banks are proposed. The basic idea is to impose multiple zeros at the aliasing frequency to a symmetric filter, minimize the deviation of the filter satisfying the orthogonal condition, and a nearly orthogonal filter bank can be obta...

The description of filter banks using lifting structures does not only benefit low-complexity implementation in software or hardware, but is also advantageous for the design of filter banks because of the guaranteed perfect reconstruction property. This paper proposes a new design method for wavelet filter banks, which is explained based on a single lifting structure suitable for 9/7 filter pai...

By using a mixer to down-convert the high frequency components of signal, digital bandwidth interleaving (DBI) technology can simultaneously increase sampling rate and system, compared time-interleaved hybrid filter bank. However, software hardware classical architecture are too complicated, which also leads poor performance. In particular, pilot tone used synchronize analog local oscillators (...

For computational efficiency, it is important to utilize model structure in particle filtering. One of the most important cases occurs when there exists a linear Gaussian substructure, which can be efficiently handled by Kalman filters. This is the standard formulation of the Rao-Blackwellized particle filter (RBPF). This contribution suggests an alternative formulation of this wellknown result...