Efficient Implementation of The Second Order Volterra Filter
نویسندگان
چکیده
1 Facultatea de Electronică şi Telecomunicaţii, Departamentul Comunicaţii Bd. V. Pârvan Nr. 2, 300223 Timişoara, e-mail [email protected] Abstract – This paper investigates a new implementation of the second order isotropic filter using the Walsh Hadamard Transform. The new implementation is used in a second order Volterra filter. It’s performances are evaluated in a typical nonlinear system identification application. For the second order adaptive Volterra filter an LMS adaptive algorithm with variable step size for the linear and the quadratic parts is proposed. Experimental results show that by using the WHT, the computational complexity of the adaptive second order filter is considerably reduced and the convergence rate of this filter is also significantly improved. Adaption is working well even for high levels of the input signal. The mean-squared error of the proposed filter is compared with those of a classic second order LMS adaptive filter.
منابع مشابه
Microsoft Word - variantwseas_2007_1.rtf
The Volterra series have been successfully and widely applied as a nonlinear system modeling technique. Considered as a prototype, the second order Volterra filter (FV2) has an increased complexity in comparison with a linear filter. The filter based on the multi memory decomposition (MMD) structure represents a good approximation of the FV2 and significantly reduces the number of the filter op...
متن کاملEfficient Implementation and Performance Evaluation of the Second Order Volterra Filter Based on the MMD Approximation
Considered as a prototype of nonlinear system models the second order Volterra filter (FV2) is characterized by an increased complexity in comparison with a linear filter. This complexity is given by the large number of filter coefficients, as well as by the filter operations and it requires an increased computational power in technical applications. The filter based on the multi memory decompo...
متن کاملA reduced-rank approach for implementing higher-order Volterra filters
The use of Volterra filters in practical applications is often limited by their high computational burden. To cope with this problem, many strategies for implementing Volterra filters with reduced complexity have been proposed in the open literature. Some of these strategies are based on reduced-rank approaches obtained by defining a matrix of filter coefficients and applying the singular value...
متن کاملEfficient Implementation of the Third Order RLS Adaptive Volterra Filter
Nonlinear adaptive filtering techniques are widely used for the nonlinearities identification in many applications. This paper proposes a new implementation of the third order RLS Volterra filter based on the decomposition of the input vector. Its performances are evaluated in a typical nonlinear system identification application. Different degrees of nonlinearity for the nonlinear system are c...
متن کاملMicrosoft Word - 508-182_budura.rtf
Nonlinear adaptive filtering techniques, based on the Volterra model, are widely used for the nonlinearities identification in many applications. This paper proposes a new implementation of the third order LMS Volterra filter. A third order nonlinear system with memory is identified using the new LMS algorithm implementation for the Volterra kernels estimation. The accuracy of the proposed algo...
متن کامل