Baseband Volterra filters for implementing carrier based nonlinearities

A diagonal coordinate representation for Volterra filters is developed and exploited to derive efficient Volterra filter implementations for processing carrier based input signals. In the diagonal coordinate representation, the output is expressed as a sum of linear filters applied to modified input signals. Hence, linear filtering methods are employed to implement the nonlinear filter on a baseband version of the input. Downsampling is then used to reduce computational complexity. The same approach is employed to develop efficient implementations for processing continuous-time carrier-based signals, pulse amplitude-modulated signals, and frequency division multiplexed input signals.

[1]  N. Wiener,et al.  Nonlinear Problems in Random Theory , 1964 .

[2]  G. Tomlinson,et al.  Recent advances in the application of functional series to non-linear structures , 1989 .

[3]  V. John Mathews,et al.  Parallel-cascade realizations and approximations of truncated Volterra systems , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[4]  Sergio Benedetto,et al.  Nonlinear Equalization of Digital Satellite Channels , 1982, IEEE J. Sel. Areas Commun..

[5]  Robert D. Nowak,et al.  Tensor product basis approximations for Volterra filters , 1996, IEEE Trans. Signal Process..

[6]  Miroslav Morhác.  A fast algorithm of nonlinear Volterra filtering , 1991, IEEE Trans. Signal Process..

[7]  Allen Gersho,et al.  Adaptive Cancellation of Nonlinear Intersymbol Interference for Voiceband Data Transmission , 1984, IEEE Journal on Selected Areas in Communications.

[8]  S. Billings,et al.  Interpretation of non-linear frequency response functions , 1990 .

[9]  M. Korenberg,et al.  Orthogonal approaches to time-series analysis and system identification , 1991, IEEE Signal Processing Magazine.

[10]  Stephen A. Billings,et al.  Identi cation of nonlinear systems-A survey , 1980 .

[11]  S. Billings,et al.  Describing functions, Volterra series, and the analysis of non-linear systems in the frequency domain , 1991 .

[12]  D. Falconer.  Adaptive equalization of channel nonlinearities in QAM data transmission systems , 1978, The Bell System Technical Journal.

[13]  A. A. M. Saleh,et al.  Adaptive linearization of power amplifiers in digital radio systems , 1983, The Bell System Technical Journal.

[14]  R. de Figueiredo.  The Volterra and Wiener theories of nonlinear systems , 1982, Proceedings of the IEEE.

[15]  Vasilis Z. Marmarelis,et al.  Nonlinear Modeling of Physiological Systems Using Principal Dynamic Modes , 1994 .

[16]  S. Pupolin,et al.  Nonlinearity compensation in digital radio systems , 1994, IEEE Trans. Commun..

[17]  Ezio Biglieri,et al.  Analysis and compensation of nonlinearities in digital transmission systems , 1988, IEEE J. Sel. Areas Commun..

[18]  Walter A. Frank.  MMD-an efficient approximation to the 2nd order Volterra filter , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[19]  P. Vaidyanathan.  Multirate Systems And Filter Banks , 1992 .

[20]  Chrysostomos L. Nikias,et al.  Efficient implementations of quadratic digital filters , 1986, IEEE Trans. Acoust. Speech Signal Process..