Volterra series

About: Volterra series is a research topic. Over the lifetime, 2731 publications have been published within this topic receiving 46199 citations.

Non-Linear Interference Cancellation For Wireless Transceivers

Abstract: Non-linear interference cancellation techniques are provided for wireless transceivers. Non-linear reduction of interference of a transmit signal on a received signal in a transceiver device, comprises applying the transmit signal to a first non-linear system; applying the received signal to a second non-linear system; and subtracting an output of the first non-linear system output from an output of second non-linear system output to produce an interference mitigated received signal. The first non-linear system and/or the second non-linear system can be to implemented using one or more of a Volterra series and a Generalized Memory Polynomial Model. System parameters of the first non-linear system and/or the second non-linear system are adapted to reduce a power of the interference mitigated received signal.

Convergence of Volterra series representation and BIBO stability of bilinear systems

Abstract: Convergence of the Volterra series representation for time-varying bilinear systems is discussed. If the bilinear slate equation martrices are uniformly bounded then, for bounded system inputs, the Volterra series representation converges uniformly on a finite time interval [lo T]. If. in addition, the system's zero-input response is uniformly asymptotically stable, we obtain the class of bounded system inputs for which the Volterra series representation converges uniformly on the infinite lime interval [0, ∞). The results are then used to obtain sufficient conditions for the BIBO stability of bilinear systems.

Analysis and synthesis of a class of nonlinear systems

Abstract: A unified approach for the analysis and synthesis of a class of nonlinear systems is discussed. The analytical approach is based on the Volterra series representation of the input/output relationship of nonlinear systems. A canonic structure is presented for a class of nonlinear systems. The necessary and sufficient condition for the realizability of a given nonlinear system in terms of the canonic structure is presented. This synthesis procedure is based on a simple algorithm for separating a multivariable polynomial using the zeroes of a single variable polynomial. The synthesis procedure is also shown to yield computationally simpler models for a class of nonlinear systems.

Exploitation of cyclostationarity for identifying the Volterra kernels of nonlinear systems

Abstract: A class of random time-series inputs for nonlinear time-invariant systems that permit the analytical specification of a set of operators on the input that are orthonormal over all time to the Volterra operators for all orders and all lag sets is introduced. The time series in this class are cyclostationary and complex valued. The orthonormal operators are used to obtain an input-output type of cross-correlation formula for identifying the individual Volterra kernels of arbitrary order for a nonlinear system of possibly infinite order and possibly infinite memory. The real parts of the complex-valued inputs in this class comprise a class of real-valued inputs for which the same sets of specified operators apply. However, the orthogonality for different orders holds for these real inputs only for Volterra operators of order less than the order of the specified operator. Thus, these real inputs can be used to identify Volterra kernels only for finite-order systems. Frequency-domain counterparts of the time-domain methods that can utilize an FFT algorithm are developed. >

Extraction of a nonlinear AC FET model using small-signal S-parameters

Abstract: The nonlinearities of an RF FET can be obtained by a set of small-signal circuit elements extracted over a range of terminal voltages and temperatures. This study used pulsed S-parameter measurements on a 3 /spl times/ 3 DC-bias-point grid at two different temperatures to obtain electrical and electrothermal nonlinearity coefficients up to the third order. The extracted nonlinear AC model can be used in a Volterra analysis to gain an insight into the distortion mechanisms. The measurement results were in good agreement with the calculated third-order intermodulation values.