An Approximation of Volterra Series Using Delay Envelopes, Applied to Digital Predistortion of RF Power Amplifiers With Memory Effects

Safari, Nima; Roste, Terje; Fedorenko, P.; Kenney, J.S.

doi:10.1109/lmwc.2007.915099

Cited by 38 publications

(16 citation statements)

References 7 publications

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“…The proposed 2-D multi-branch model is based on extending the baseband single-band truncated Volterra model in [16], [17]. The general Volterra model is given by:…”

Section: B Proposed Modelmentioning

confidence: 99%

Digital predistortion of concurrent dual-band power amplifier based on two-dimensional multi-branch DPD

Younes

Kwan

Ghannouchi

2014

2014 IEEE 27th Canadian Conference on Electrical and Computer Engineering (CCECE)

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This paper presents a novel two-dimensional multibranch model for the dynamic behavioral modeling and digital predistortion of dual-band power amplifiers (PAs) operated in concurrent multi-band, multi-standard mode. The model performance was validated by linearizing a dual-band class AB PA, driven by different bandwidth LTE and WCDMA signals. The measurement results showed the suppression of the spectral regrowth due to the intermodulation and cross modulation effects in concurrent dual-band PAs, and also showed significant improvement in terms of accuracy and complexity when compared to state-of-the-art models.

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“…The proposed 2-D multi-branch model is based on extending the baseband single-band truncated Volterra model in [16], [17]. The general Volterra model is given by:…”

Section: B Proposed Modelmentioning

confidence: 99%

Digital predistortion of concurrent dual-band power amplifier based on two-dimensional multi-branch DPD

Younes

Kwan

Ghannouchi

2014

2014 IEEE 27th Canadian Conference on Electrical and Computer Engineering (CCECE)

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“…The static function can be expressed by a power series assumption, as shown in (1), while the mildly nonlinear dynamic function can be expressed as shown in [19]. The simplified dynamic Volterra filter, where only the bidimensional second-order cross terms, i.e., the products with two different time delays and with arbitrary order of nonlinearities, is given by (8) where and are the memory depths of the second-order cross terms.…”

Section: B Proposed Modelmentioning

confidence: 99%

“…The LS solution is, therefore, obtained by the pseudoinversing of the basis matrix as follows: (19) where is the pseudoinverse of the matrix , and is the Hermitian transpose. The coefficient vectors and around and are estimated similarly.…”

Section: Identification Of the Proposed Dpdmentioning

confidence: 99%

Linearization of Concurrent Tri-Band Transmitters Using 3-D Phase-Aligned Pruned Volterra Model

Younes

Kwan

Rawat

et al. 2013

IEEE Trans. Microwave Theory Techn.

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This paper reports a novel digital predistortion (DPD) scheme for concurrent tri-band power amplifiers (PAs). The proposed tri-band DPD is based on a pruned Volterra model that takes into account the impact of the phase distortion observed in multi-band PAs as well as the compound amplitude distortion. By taking into account the phase variation effects across a wide frequency band, the proposed 3-D phase-aligned Volterra DPD can effectively compensate for the crosstalk effects between the fundamental frequencies, their harmonics, and intermodulation products due to the nonlinearity the tri-band PA exhibited. The performance of the proposed DPD is validated using a broadband Class-AB PA driven concurrently by three independent carrier-aggregated long-term evolution signals at separation frequencies around 100 MHz. The measurement results validate the accurate performance of the proposed 3-D phase-aligned pruned Volterra DPD in suppressing the in-band and cross-band intermodulation effects, and shows improvement over a basic 3-D tri-band DPD model that neglects phase variation effects across frequency.Index Terms-Digital predistortion (DPD), long-term evolution (LTE) advanced carrier aggregation (CA), power amplifier (PA), tri-band, Volterra series.

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“…Multi-standard signals are subject to various distortions when passed through different stages of the transmitter due to the imperfections in the various components present in the transmitter. Several block-based behavioral models, such as Hammerstein–Wiener, augmented Weiner, augmented Hammerstein, and memory polynomial, are proposed for modeling the non-linear distortions in the transmitters [6,7,8,9,10,11,12] introduced by the power amplifiers during the amplification of the signal. …”

Section: Introductionmentioning

confidence: 99%

Forward Behavioral Modeling of a Three-Way Amplitude Modulator-Based Transmitter Using an Augmented Memory Polynomial

Chatrath

Aziz

Helaoui

2018

Sensors

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Reconfigurable and multi-standard RF front-ends for wireless communication and sensor networks have gained importance as building blocks for the Internet of Things. Simpler and highly-efficient transmitter architectures, which can transmit better quality signals with reduced impairments, are an important step in this direction. In this regard, mixer-less transmitter architecture, namely, the three-way amplitude modulator-based transmitter, avoids the use of imperfect mixers and frequency up-converters, and their resulting distortions, leading to an improved signal quality. In this work, an augmented memory polynomial-based model for the behavioral modeling of such mixer-less transmitter architecture is proposed. Extensive simulations and measurements have been carried out in order to validate the accuracy of the proposed modeling strategy. The performance of the proposed model is evaluated using normalized mean square error (NMSE) for long-term evolution (LTE) signals. NMSE for a LTE signal of 1.4 MHz bandwidth with 100,000 samples for digital combining and analog combining are recorded as −36.41 dB and −36.9 dB, respectively. Similarly, for a 5 MHz signal the proposed models achieves −31.93 dB and −32.08 dB NMSE using digital and analog combining, respectively. For further validation of the proposed model, amplitude-to-amplitude (AM-AM), amplitude-to-phase (AM-PM), and the spectral response of the modeled and measured data are plotted, reasonably meeting the desired modeling criteria.

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An Approximation of Volterra Series Using Delay Envelopes, Applied to Digital Predistortion of RF Power Amplifiers With Memory Effects

Cited by 38 publications

References 7 publications

Digital predistortion of concurrent dual-band power amplifier based on two-dimensional multi-branch DPD

Digital predistortion of concurrent dual-band power amplifier based on two-dimensional multi-branch DPD

Linearization of Concurrent Tri-Band Transmitters Using 3-D Phase-Aligned Pruned Volterra Model

Forward Behavioral Modeling of a Three-Way Amplitude Modulator-Based Transmitter Using an Augmented Memory Polynomial

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