The Volterra and Wiener Theories of Nonlinear Systems
The Volterra and Wiener Theories of Nonlinear Systems
Adaptive Filtering: Algorithms and Practical Implementation
Adaptive Filtering: Algorithms and Practical Implementation
Adaptive lattice bilinear filters
IEEE Transactions on Signal Processing
Nonlinear adaptive prediction of complex-valued signals by complex-valued PRNN
IEEE Transactions on Signal Processing
Nonlinear adaptive prediction of speech with a pipelined recurrentneural network
IEEE Transactions on Signal Processing
Nonlinear adaptive prediction of nonstationary signals
IEEE Transactions on Signal Processing
Adaptive parallel-cascade truncated Volterra filters
IEEE Transactions on Signal Processing
Parallel-cascade realizations and approximations of truncatedVolterra systems
IEEE Transactions on Signal Processing
Minimum Mean-Square Error Equalization for Second-Order Volterra Systems
IEEE Transactions on Signal Processing - Part I
Equivalent system model and equalization of differential impulse radio UWB systems
IEEE Journal on Selected Areas in Communications
Differential evolution-based nonlinear system modeling using a bilinear series model
Applied Soft Computing
Digital Signal Processing
Volterra kernel based face recognition using artificial bee colonyoptimization
Engineering Applications of Artificial Intelligence
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To overcome the computational complexity of the Volterra filter, a novel adaptive joint process filter using pipelined bilinear polynomial architecture (JPBPF) is proposed in this paper. The proposed architecture consists of two subsections: nonlinear subsection performing a nonlinear mapping from the input space to an intermediate space by the bilinear polynomial filter (BPF), and a linear filter performing a linear mapping from the intermediate space to the output space. The corresponding adaptive algorithms are deduced for the nonlinear subsection and linear filter subsection, respectively. To evaluate the performance of the JPBPF, a series of simulations are presented including nonlinear system identification, predicting of speech signals and nonlinear channel equalization. Compared with the conventional second-order Volterra (SOV) filter and BPF, the JPBPF exhibits a slightly better convergence performance in terms of convergence speed and steady-state error. Moreover, since those modules of a JPBPF can be performed simultaneously in a pipelined parallelism fashion, this would lead to a significant improvement in its total computational efficiency.