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Journal Radioengineering №3 for 2015 г.
Article in number:
The reversion method of Volterrа's functional series for digital correction of nonlinear distortions in analogue Radio engineering devices
Keywords: nonlinear distortions Volterrа's series Faа di Bruno's formula power operator functional polynom
Authors:
V.I. Proskurin - Ph. D. (Eng.), RC (Tver) CRI ADF of Russian Defence Ministry
Abstract:
To carry out digital correction of nonlinear distortions of signals in the analogue Radio engineering devices. The reversion method the Fаa di Bruno-s type formula is generalised on a case of the multiple functional differentiation of superposition of nonlinear operators on the real and complex functions spaces. On the base of this formula the method of reversion Volterrа-s functional series is developed. The generalized formula of Faa di Bruno-s and the method of reversal of functional polynomials make the generalized method coefficients allowing to find coefficients of the functional polynomials for superposition (serial connection) several non-linear systems, non-linear feedback systems, etc. The Method of reversal of the functional rows allows to fulfill numeral correction of non-linearity distortions of signals in the analog parts of radio receivers and also to calculate numeral pre-distortions for a signal on an input of power amplifiers of radio transmitters.
Pages: 97-103
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