Polyphase Representation of Multirate Nonlinear Filters and Its Applications

Schwingshackl, David; Kubin, Gernot

doi:10.1109/tsp.2007.892705

Cited by 25 publications

(6 citation statements)

References 12 publications

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“…To analyze the system presented in Fig. 8, several methods have been proposed in the literature [14], [15]. Due to the downsampling and upsampling processes, this model is timevariant and consequently, an overall transfer function does not exist in the general case.…”

Section: Multirate Controller and Stability Studymentioning

confidence: 99%

New Stability Method of a Multirate Controller for a Three-Axis High-<inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math> </inline-formula> MEMS Accelerometer With Simultaneous Electrostatic Damping

Ciotirca

Bernal

Jerome³

et al. 2018

IEEE Sensors J.

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Over the past years, cutting-edge advances in electronics and microfabrication have allowed the integration of multiple sensors within integrated analog and digital circuits to design microelectromechanical systems. The multiple sensor integration or sensor fusion enables both cost and surface reduction, while maintaining high performances. This paper presents a new control system for an underdamped three-axis accelerometer, which allows the co-integration in the same cavity with a threeaxis Coriolis gyroscope to design a six degrees-of-freedom combo sensor. The accelerometer analog front end consumes 300 µA from a 1.6V power supply and is able to reach its steady state in 800 µs compared with a 400ms open loop and no damping configuration. The transducer control is implemented using a simultaneous multirate electrostatic damping method. To conclude on the closed-loop system stability, an innovative approach based on the multirate signal processing theory has been developed.

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Section: Multirate Controller and Stability Studymentioning

confidence: 99%

New Stability Method of a Multirate Controller for a Three-Axis High-<inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math> </inline-formula> MEMS Accelerometer With Simultaneous Electrostatic Damping

Ciotirca

Bernal

Jerome³

et al. 2018

IEEE Sensors J.

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“…Subsampled subband DPD implementation, modified and new elements are highlighted in blue filtering producing z P and the linear filtering producing z IM can be implemented as polyphase form [13]. This polyphase implementation reduces the rate calculations by the decimation factor M .…”

Section: Subsampled Subband Dpd Systemmentioning

confidence: 99%

A subsampled adaptive subband digital predistortion algorithm

Pham¹,

Gagnon²,

Gagnon³

et al. 2014

2014 IEEE 12th International New Circuits and Systems Conference (NEWCAS)

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To reduce energy consumption of transmission systems, the power amplifier in transceiver systems is a key element to be improved. The energy consumption associated with this component represents a major part of the total consumption of transmission systems. Moreover it plays an essential role in the quality of the transmitted signals. Digital predistortion (DPD) is a technique that aims at linearizing power amplifiers and thus allows energy efficiency improvements. However, this technique requires, in the feedback path, wideband and high dynamic range analog-to-digital converters (ADC) and usually large computational resources. Subband digitization with subband DPD algorithm have been proposed to relax the design constraints of the feedback path ADC and the digital processing unit. We present in this article a subsampled RLS-based subband DPD algorithm. We show that the gain in terms of number of multiplications and/or additions per second (MAC/s), between the conventional wideband approach and the subsampled algorithm, tends to the number of subbands. Simulations show that the convergence speed by RLS iteration of the subsampled algorithm is maintained. Therefore, the subsampled algorithm converges with the same number of iterations as the conventional wideband approach. After convergence, the residual mean-square-error (MSE) is approximately −76 dB for the conventional wideband algorithm and −70 dB for the proposed algorithm.

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“…However, since these techniques are based on using Volterra models, high computation complexity and slow convergence speed are expected problems during real-time implementation. Recently, an approach based on polyphase representation for Volterra filters that helps to reduce the computation complexity has been introduced in (Schwingshackl, Kubin, 2007). Therefore, block-structured models such as the Wiener and Hammerstein model structures, see (Abd-Elrady, 2004, 2005, are considered in order to decrease the number of parameters to be estimated -hence decreasing computational complexity and convergence time.…”

Section: Introductionmentioning

confidence: 99%

Predistortion of Hammerstein and Wiener systems using the Nonlinear Filtered-x Prediction Error Method algorithm

Abd-Elrady

Gan

Kubin

2010

Elektrotech. Inftech.

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Adaptive predistortion of nonlinear systems described using Hammerstein and Wiener models is considered in this paper. The adaptive predistorter is modeled as a Wiener or Hammerstein system, respectively. The parameters of the linear and nonlinear blocks of the predistorter are estimated simultaneously using the Nonlinear Filtered-x Prediction Error Method (NFxPEM) algorithm. The NFxPEM algorithm is derived under the assumption that the parameters of the Wiener and Hammerstein predistorters are changing slowly during adaptation. Simulation study shows that the suggested predistorter using the NFxPEM algorithm can well compensate nonlinear distortion and effectively reduce spectral regrowth. Moreover, the suggested NFxPEM algorithm achieves much better results as compared to the Nonlinear Filtered-x Least Mean Squares (NFxLMS) algorithm. Vorverzerrung von Hammerstein-und Wiener-Systemen unter Anwendung des Nichtlineare Filter-x PredictionError-Methode-Algorithmus.Dieser Artikel behandelt die adaptive Vorverzerrung von nichtlinearen Systemen. Die Nichtlinearit€ at wird als Hammerstein-bzw. Wiener-Modell dargestellt und die adaptive Vorverzerrung entsprechend mit einem Wiener-bzw. Hammerstein-System durchgef€ uhrt. Der "Nonlinear Filtered-x Prediction Error Method (NFxPEM)"-Algorithmus sch€ atzt gleichzeitig die Parameter des linearen und des nichtlinearen Blocks des Vorverzerrungssystems. Der NFxPEM-Algorithmus wird unter der Bedingung, dass sich die Parameter des Vorverzerrungssystems w€ ahrend der Adaptation nur langsam € andern, hergeleitet. Simulationen zeigen, dass der vorgeschlagene NFxPEM-Algorithmus in der Lage ist, nichtlineare Verzerrungen zu kompensieren und die spektrale Fortpflanzung effektiv zu reduzieren. Zus€ atzlich wird gezeigt, dass der vorgeschlagene NFxPEM-Algorithmus wesentlich bessere Ergebnisse als der "Nonlinear Filtered-x Least Mean Squares (NFxLMS)"-Algorithmus erzielt.Schlü sselwö rter: Verzerrung; nichtlineare Systeme; Parameter-Sch€ atzung; Prediktionsmethoden IntroductionCancelling or reducing nonlinear distortion due to nonlinearity characteristic of some electronic devices is essential requirement in many areas. In wireless communication systems, the nonlinearity of the high power amplifiers is an obstacle to increase the transfer data rate and mobility. In Hi-Fi systems, small distortion produced by nonlinear components dominates the overall performance. Examples can be found in communication systems, speech processing and control engineering, see (Gao, Snelgrove, 1990;Lim et al., 1998;Gan, 2009).Several adaptive predistortion techniques based on using Volterra series as a model for the nonlinear system have been proposed (Gao, Snelgrove, 1990;Lim et al., 1998). However, since these techniques are based on using Volterra models, high computation complexity and slow convergence speed are expected problems during real-time implementation. Recently, an approach based on polyphase representation for Volterra filters that helps to reduce the computation complexity has been introduced in...

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Polyphase Representation of Multirate Nonlinear Filters and Its Applications

Cited by 25 publications

References 12 publications

New Stability Method of a Multirate Controller for a Three-Axis High-<inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math> </inline-formula> MEMS Accelerometer With Simultaneous Electrostatic Damping

New Stability Method of a Multirate Controller for a Three-Axis High-<inline-formula> <tex-math notation="LaTeX">$Q$ </tex-math> </inline-formula> MEMS Accelerometer With Simultaneous Electrostatic Damping

A subsampled adaptive subband digital predistortion algorithm

Predistortion of Hammerstein and Wiener systems using the Nonlinear Filtered-x Prediction Error Method algorithm

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