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            th‐order inverse of the Volterra series for multiple‐input multiple‐output non‐linear dynamic systems

Rönnow, Daniel

doi:10.1049/iet-cds.2017.0447

Cited by 8 publications

(4 citation statements)

References 26 publications

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“…Nevertheless, it might be modified for other types of cross-talks, e.g. if the DUT only includes input (or output) cross-talk channels [10, 30]. The method for the proposed frequency-domain modelling technique in this paper would be suitable for gallium nitride (GaN) RF PAs and millimetre-wave applications, in which it is required to include long-term memory effects in time-domain modeling techniques [37, 38].…”

Section: Discussionmentioning

confidence: 99%

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Behavioral modeling and digital pre-distortion techniques for RF PAs in a 3 × 3 MIMO system

Alizadeh

Händel

Rönnow

2019

Int. J. Microw. Wireless Technol.

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Modern telecommunications are moving towards (massive) multi-input multi-output (MIMO) systems in 5th generation (5G) technology, increasing the dimensionality of the systems dramatically. In this paper, the impairments of radio frequency (RF) power amplifiers (PAs) in a 3 × 3 MIMO system are compensated in both the time and the frequency domains. A three-dimensional (3D) time-domain memory polynomial-type model is proposed as an extension of conventional 2D models. Furthermore, a 3D frequency-domain technique is formulated based on the proposed time-domain model to reduce the dimensionality of the model, while preserving the performance in terms of model errors. In the 3D frequency-domain technique, the bandwidth of the system is split into several narrow sub-bands, and the parameters of the model are estimated for each sub-band. This approach requires less computational complexity, and also the procedure of the parameters estimation for each sub-band can be implemented independently. The device-under-test consists of three RF PAs including input and output cross-talk channels. The proposed techniques are evaluated in both behavioral modeling and digital pre-distortion (DPD) perspectives. The experimental results show that the proposed DPD technique can compensate the errors of non-linearity and memory effects in the both time and frequency domains.

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Section: Discussionmentioning

confidence: 99%

“…In a similar manner, the parameters of the time-domain DPD are identified using the indirect learning architecture (ILA) approach and are a copy of the parameters of the post-distorter [29, 30]: where x ℓ is the vector of input signals, θ ℓ is the vector of inverse parameters, and Y is the regression matrix of output signals.…”

Section: Model Identificationmentioning

confidence: 99%

Behavioral modeling and digital pre-distortion techniques for RF PAs in a 3 × 3 MIMO system

Alizadeh

Händel

Rönnow

2019

Int. J. Microw. Wireless Technol.

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“…The reason to use dual-input-dual-output system is to use the ILA architecture for model extraction. According to the theory of pth-order inverse of MIMO nonlinear system [26], the pth-order pre-inverse and post-inverse of system H are the same and the inverse system can be uniquely identified. This means that the pth-order pre-inverse can be identified by determining the pth-order post-inverse, as the ILA does.…”

Section: Model Extractionmentioning

confidence: 99%

Linearization Angle Widened Digital Predistortion for 5G MIMO Beamforming Transmitters

Luo

Zhu

et al. 2021

IEEE Trans. Microwave Theory Techn.

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To reduce the demand for frequently adjusting phase shifts in the fifth-generation (5G) multiple-input multipleoutput (MIMO) beamforming transmitters, in this article, a novel digital predistortion (DPD) technique is proposed, which employs multiple predistortion boxes to shape the pattern of nonlinear distortions in space in order to linearize multiple targets simultaneously. By using this approach, the linearization angle is widened and thus the communication quality can be kept when the user moves off the main beam direction. As a proof of concept, two DPD boxes, namely main and auxiliary boxes, are used to realize the 2-target linearization. A new model extraction method is also proposed with a dedicated over-the-air (OTA) feedback postprocessing stage. Simulation and experiment are demonstrated on a 4-path beamforming transmitter. The results show that the proposed DPD method can effectively widen the linearization angle with reasonable additional complexity.

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“…The Volterra and Fredholm functional series are a universal tool for identification and analysis of nonlinear systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In the iterative algorithms, a basic thing is the process of determining the operator of cascade of the systems described by the homogeneous operators.…”

Section: Introductionmentioning

confidence: 99%

The binary algorithm of cascade connection of nonlinear digital filters described in functional series

Siwczyński¹,

Żaba²

2019

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The article presents an example of the use of functional series for the analysis of nonlinear systems for discrete time signals. The homogeneous operator is defined and it is decomposed into three component operators: the multiplying operator, the convolution operator and the alignment operator. An important case from a practical point of view is considered -a cascade connection of two polynomial systems. A new, binary algorithm for determining the sequence of complex kernels of cascade from two sequences of kernels of component systems is presented. Due to its simplicity, it can be used during iterative processes in the analysis of nonlinear systems (e.g. feedback systems)..

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p th‐order inverse of the Volterra series for multiple‐input multiple‐output non‐linear dynamic systems

Cited by 8 publications

References 26 publications

Behavioral modeling and digital pre-distortion techniques for RF PAs in a 3 × 3 MIMO system

Behavioral modeling and digital pre-distortion techniques for RF PAs in a 3 × 3 MIMO system

Linearization Angle Widened Digital Predistortion for 5G MIMO Beamforming Transmitters

The binary algorithm of cascade connection of nonlinear digital filters described in functional series

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