Conventional Parallel Interference Cancellation Research Articles

The magnetohydrodynamic-particle-in-cell module in Athena++: Implementation and code tests

Abstract We present a new magnetohydrodynamic-particle-in-cell (MHD-PIC) code integrated into the Athena++ framework. It treats energetic particles as in conventional PIC codes while the rest of thermal plasmas are treated as background fluid described by MHD, thus primarily targeting at multi-scale astrophysical problems involving the kinetic physics of the cosmic-rays (CRs). The code is optimized toward efficient vectorization in interpolation and particle deposits, with excellent parallel scaling. The code is also compatible with static/adaptive mesh refinement, with dynamic load balancing to further enhance multi-scale simulations. In addition, we have implemented a compressing/expanding box framework which allows adiabatic driving of CR pressure anisotropy, as well as the δf method that can dramatically reduce Poisson noise in problems where distribution function f is only expected to slightly deviate from the background. The code performance is demonstrated over a series of benchmark test problems including particle acceleration in non-relativistic parallel shocks. In particular, we reproduce the linear growth of the CR gyro-resonant (streaming and pressure anisotropy) instabilities, under both the periodic and expanding/compressing box settings. We anticipate the code to open up the avenue for a wide range of astrophysical and plasma physics applications.

Rubrics for Charge Conserving Current Mapping in Finite Element Electromagnetic Particle in Cell Methods

Modeling of kinetic plasmas using electromagnetic particle in cell (EM-PIC) methods is a well worn problem, in that methods developed have been used extensively both understanding physics and exploiting them for device design. EM-PIC tools have largely relied on finite difference methods coupled with particle representations of the distribution function. Refinements to ensure consistency and charge conservation have largely been <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ad hoc</i> efforts specific to finite difference methods. Meanwhile, solution methods for field solver have grown by leaps and bounds with significant performance metrics compared to finite difference methods. Developing new EM-PIC computational schemes that leverage modern field solver technology means re-examining analysis framework necessary for self-consistent EM-PIC solution. In this article, we prescribe general rubrics for charge conservation, demonstrate how these are satisfied in conventional finite difference PIC as well as finite element PIC, and prescribe a novel charge conserving finite element PIC. Our effort leverages proper mappings on to <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">de-Rham</i> sequences and lays a groundwork for understanding conditions that must be satisfied for consistency. Several numerical results demonstrate the applicability of these rubrics.

Domain Decomposition Based PIC Detectors for Massive MIMO

In this work, we investigate the use of domain decomposition techniques in developing novel block-wise PIC detectors for communication systems. Specifically, we consider the cancellation of inter-antenna-interference in the uplink of massive MIMO systems and develop a new block-wise PIC detector based on additive Schwarz method. Up to our knowledge, this is the first time domain decomposition techniques are applied within the wireless communication field. Careful inspection of the channel cross-correlation matrix reveals the fact that the latter has a special structure which supports the use of block iterative methods. We exploit this fact and develop a block-wise PIC detector that is suitable for implementation on parallel processors. Convergence analysis and the impact of various parameters such as the level of overlap and the number of blocks on the convergence behavior of the novel PIC detector are considered. Simulation results show important improvement in convergence speed compared to the conventional linear PIC detector.

MAGNETOHYDRODYNAMIC-PARTICLE-IN-CELL METHOD FOR COUPLING COSMIC RAYS WITH A THERMAL PLASMA: APPLICATION TO NON-RELATIVISTIC SHOCKS

We formulate a magnetohydrodynamic-particle-in-cell (MHD-PIC) method for describing the interaction between collisionless cosmic ray (CR) particles and a thermal plasma. The thermal plasma is treated as a fluid, obeying equations of ideal MHD, while CRs are treated as relativistic Lagrangian particles subject to the Lorentz force. Backreaction from CRs to the gas is included in the form of momentum and energy feedback. In addition, we include the electromagnetic feedback due to CR-induced Hall effect that becomes important when the electron-ion drift velocity of the background plasma induced by CRs approaches the Alfv\'en velocity. Our method is applicable on scales much larger than the ion inertial length, bypassing the microscopic scales that must be resolved in conventional PIC methods, while retaining the full kinetic nature of the CRs. We have implemented and tested this method in the Athena MHD code, where the overall scheme is second-order accurate and fully conservative. As a first application, we describe a numerical experiment to study particle acceleration in non-relativistic shocks. Using a simplified prescription for ion injection, we reproduce the shock structure and the CR energy spectra obtained with more self-consistent hybrid-PIC simulations, but at substantially reduced computational cost. We also show that the CR-induced Hall effect reduces the growth rate of the Bell instability and affects the gas dynamics in the vicinity of the shock front. As a step forward, we are able to capture the transition of particle acceleration from non relativistic to relativistic regimes, with momentum spectrum $f(p)\sim p^{-4}$ connecting smoothly through the transition, as expected from the theory of Fermi acceleration.

Interference and Complexity Reduction in Multi-stage Multi-user Detection in DS-CDMA

Multi-stage parallel interference cancellation (PIC) technique gives good performance compared to successive interference cancellation (SIC) method, but biased decision statistic and complexity problems are raised due to imperfect estimation of multiple access interference (MAI) as number of stages increases. partial parallel interference cancellation (PPIC) technique is proposed to cancel the interference partially stage by stage to overcome biased problem. The complexity reduction for PIC detection is based on the convergence nature of interference cancellation which is called the difference PIC (D-PIC) detection technique. In this paper we combine (PPIC and DPIC) these two techniques and propose a multi-stage multi-user (PD-PIC) detector for performance improvement and complexity reduction compared to conventional PIC detector. The performance is degraded as the number of users increases in each technique.

BER performance analysis of Subtractive interference cancellation (SIC) Using Rayleigh channel in DS-CDMA Receiver system

In this paper, we present and analyze the performance of a parallel interference cancellation (PIC) scheme for multicarrier (MC) direct-sequence code-division multiple-access (DS-CDMA) systems. In order to mitigate the multi-path interference (MPI) in the DS CDMA system. At each cancellation stage in the proposed PIC scheme, on each subcarrier, a weighted sum of the soft outputs of the other users in the current stage is cancelled from the soft output of the desired user to form the input to the next stage. At the last stage, the interference cancelled outputs from all the subcarriers are maximal ratio combined (MRC) to form the decision statistic. Parallel interference elimination is first proposed in this paper the multi-path interference are evaluated by tentative decision and known user information. Then the performance over Rayleigh fading channel are analyzed and compared to Matched filter, Decorelator, successive interference cancellation (SIC) and conventional parallel interference cancellation (PIC). It is shown that PIC performance can be improved greatly by using this method with simple structure and easy implementation.

A NEW PARALLEL INTERFERENCE CANCELLATION ALGORITHM FOR RAKE SYSTEMS

In order to suppres the multi-path interference (MPI) in the DS CDMA system, a new RAKE receiver based on parallel interference elimination is first proposed in this paper data symbol tentative decision is obtained by linear decision; the multi-path interference are evaluated by tentative decision and known user information. Then the performance over Rayleigh fading channel are analyzed and compared to conventional parallel interference cancellation (PIC) and RAKE receiver. It is shown that RAKE receiver performance can be improved greatly by using this method with simple structure and easy implementation.

A Hybrid Interference Cancellation technique for overloaded CDMA with timing offset error

A novel method of Hybrid Parallel/Successive Interference Cancellation (HIC) for Overloaded Direct Sequence Code Division Multiple Access (OCDMA) system involving two groups of users is proposed in this paper. The impact of timing synchronization error on acceptable channel load in a synchronous binary spread CDMA system is studied by mitigating the effect of multi-access interference (MAI). A small timing synchronization error is introduced in the DS-CDMA system under study to disturb the orthogonality of group-1 users and group-2 users. This orthogonality loss leads to Multi User Interference (MUI) in group-1 users and it is cancelled using Parallel Interference Cancellation (PIC). The interference of group-2 users on group-1 users is cancelled using Successive Interference Cancellation (SIC). The analytical expressions of the Bit Error Rate (BER) are derived. The simulation results prove that the BER performance of the proposed HIC method is better than the conventional PIC and SIC.

Adaptive parallel interference cancellation for CDMA systems—A weight selection and filtering scheme

Parallel interference cancellation (PIC) is a well-known multiuser detection algorithm in direct-sequence code-division multiple-access (DS-CDMA) systems. It is typically implemented with a multi-stage architecture. One problem associated with the PIC is that unreliable interference cancellation may occur in the early stages and the system performance may be degraded. Thus, the partial PIC detector was developed to control the cancellation level by use of interference cancellation factors. Partial PIC can be implemented with an adaptive form, in which optimal weights are derived using the least mean square (LMS) algorithm. In this paper, we propose an algorithm improving the conventional adaptive partial PIC. The main idea is to reduce the number of active weights in the LMS algorithm, and to perform weight post-filtering such that the resultant excess mean square error can be reduced. We also analyze the performance of the proposed algorithm and derive the bit error rate of the second stage output. Simulation results verify that the proposed algorithm outperforms the conventional partial PIC, and derived analytical results are accurate.

A PIC based procedure for the integration of multiple time scale problems in gas discharge physics

A efficient PIC technique has been implemented to study the development of electrical discharges during long periods of time. Special motivation is provided by electrical pulsations that develop in very short times but whose repetition period is much longer. The method exploits the existence of different time scales in the electrical discharge to implement a long time-step particle pushing technique both at particle and at mesh levels. The development of a train of hundreds of Trichel pulses, which is a prohibitively long computation with a conventional PIC, has been used to test the validity of the method.

Complexity Reduction and Performance Improvement of Multistage Detector with Parallel Interference Cancellation for DS-CDMA System

In this paper we propose a new method which combines the partial cancellation and differencing technique to achieve performance improvement and reduction in complexity, the proposed technique is named Multistage (DP-PIC) Detector. The simulation model for the proposed DP-PIC is implemented in floating and fixed point arithmetic. The simulation results illustrates that a partial cancellation factor of 0.7 and 0.8 in the first and second stage respectively gives a good performance for the proposed technique. A precision of 16-bit is enough to achieve a small performance degradation compared to floating point results. Finally the proposed fixed point DP-PIC is implemented on TMS320C6400 DSP simulator. The implementation results illustrate that 35% complexity reduction can be achieved compared with conventional PIC detection. Keywords: DS-CDMA, PIC, Complexity reduction, performance improvement.

Robust blind PIC with adaptive despreader and improved interference estimator

AbstractAn effective design of multistage parallel interference cancellation (PIC) receiver using blind adaptive (BA) despreader and pre‐respreader interference estimator for uplink CDMA is proposed and analysed. A novel algorithm is designed, which exploits constant modulus (CM) property of the users' transmitted signals and inherent channel condition to perform adaptive despreading based on minimum error variance criteria. This is carried out by BA weighting of each chip signal for accurate tracking of the desired user's signal power and hence for more improved data detection at the output of each stage of PIC. Furthermore, the despreader weights are used within the adaptive pre‐respreader interference estimation and cancellation to obtain online scaling factors during every symbol period, without any knowledge of users' channels or the use of training sequences. It is found that this way of estimation is optimal in minimum mean squared error sense, and hence, significant reduction in interference and noise variance is observed in detection and estimation of the desired users' signals compared with conventional PIC. Bit error probability of the proposed PIC is obtained using Gaussian Approximation method. Extensive simulation results are shown, which demonstrate impressive performance advantage in fading environments, high system loading, and severe near far conditions. Copyright © 2008 John Wiley &amp; Sons, Ltd.

Performance analysis of PSO‐based parallel interference canceller for MC‐CDMA communication systems

AbstractThis work analyses the performance of particle swarm optimisation (PSO) algorithm‐based parallel interference cancellation (PIC) multiuser detectors exploited in multicarrier direct‐sequence code‐division multiple‐access (MC‐DS‐CDMA) communication systems over frequency‐selective fading channels. The PSO, which attempts to reduce the complexity in optimal detection caused by the greedy exhausted searching, achieves adequate sub‐optimal multiuser detection in CDMA systems. Simulation results reveal that with a lower generation of Gn = 5, 10, the constant weight PIC (CWPIC) scheme outperform the conventional PIC (CPIC) particularly at heavy load. However, with higher generation Gn = 20 in PSO, the CPIC schemes contrarily outperform the CWPIC for all system loads. Copyright © 2008 John Wiley &amp; Sons, Ltd.

Adaptive Two-Stage GSC-Based PIC Detection for Time-Varying MIMO Channels

Adaptive parallel interference cancellation (PIC) has been recently proposed for the signal detection in multiple- input multiple-output (MIMO) systems. However, it suffers from error propagation when operated in time-varying channels. In this letter, an adaptive two-stage PIC with the minimum variance (MV) criterion is proposed to solve the problem. Adaptation with the MV criterion is realized with a decision feedback generalized sidelobe canceller (DFGSC). In the first-stage cancellation, a special structure involving dual DFGSCs is developed. All adaptation operations are implemented with the least-mean-square (LMS) algorithm. Simulations show that the proposed adaptive PIC detection can significantly outperform the conventional adaptive PIC detection in time-varying MIMO channel environments.

Novel polyion complex micelles for liver‐targeted delivery of diammonium glycyrrhizinate: In vitro and in vivo characterization

Polyion complex micelles (PIC micelles) based on methoxy poly(ethylene glycol)-grafted-chitosan (mPEG-g-Chitosan) and lactose-conjugated PEG-grafted-chitosan (Lac-PEG-g-Chitosan) were designed as carriers for anionic drugs. Diammonium glycyrrhizinate (DG)-loaded conventional PIC micelles (mPIC micelles) and lactose-modified PIC micelles (Lac-PIC micelles) were prepared successfully with encapsulation efficiency of 97.4% and 96.7%, respectively. These micelles were uniform spherical particles with a mean size of 21.6 and 26.4 nm by transmission electron microscopy, respectively. No significant size change of these micelles in three months indicated their good physical stability. The in vitro drug release behavior of mPIC micelles in different media as well as the changes of size and zeta potential demonstrated that the drug was released mainly through swelling and diffusion induced by ion exchange. The pharmacokinetic experiments showed that the area under the curve of DG plasma concentration-time profile in rats for mPIC micelles and Lac-PIC micelles were 1.2 times and 0.4 times higher than that for DG injection, respectively. The liver targeting ability of both mPIC micelles and Lac-PIC micelles was evaluated in rats, revealing that Lac-PIC micelles could deliver more DG to liver than mPIC micelles. Therefore, the Lac-PIC micelles prepared in this study were promising liver-targeted nanocarriers for DG.

Design and Performance Analysis of an Adaptive Receiver for Multicarrier DS-CDMA

An adaptive parallel interference cancelation (APIC) scheme is proposed for the multicarrier direct sequence code division multiple access (MC-DS-CDMA) system. Frequency diversity inherent in the MC system is exploited through maximal ratio combining, and an adaptive least mean square algorithm is used to estimate the multiple access interference. Theoretical analysis on the bit-error rate (BER) of the APIC receiver is presented. Under a unified signal model, the conventional PIC (CPIC) is shown to be a special case of the APIC. Hence the BER derivation for the APIC is also applicable to the CPIC. The performance and the accuracy of the theoretical results are examined via simulations under dierent design parameters, which show that the APIC outperforms the CPIC receiver provided that the adaptive parameters are properly selected.

Efficient statistical parallel interference cancellation for DS-CDMA in Rayleigh fading channels

We present a reduced-complexity parallel interference cancellation (PIC) technique, in which PIC is performed only on "unreliable" bits (blocks). We term our technique statistical PIC (STPIC), since the decision to employ PIC for any user signal is based upon received signal statistics. Here we propose two different methods: one is bitwise (instantaneous) STPIC (ISTPIC), in which IC is performed only on the bits whose absolute log likelihood ratio (LLR) is below a pre-selected threshold; the other method is block STPIC (BSTPIC), in which IC is performed only on the blocks whose average signal-to-noise-plus-interference ratio (SNIR) is below a pre-selected threshold. Both LLR and SNIR statistics reduce to quantities simple to obtain. We show that STPIC can achieve performance equivalent to conventional full PIC (FPIC) and other partial PIC techniques in flat Rayleigh fading channels, but with reduced computational complexity. We also show our proposed ISTPIC can achieve performance better than FPIC in good channel conditions (e.g., AWGN), still with reduced computational complexity. The ISTPIC performance gain over conventional FPIC is larger in conditions of larger loading factor where efficient IC techniques are more likely to be needed

Multi-user interference cancellation technology in the presence of multiple frequency offsets

The performance of multi-user detectors in the presence of multiple frequency offsets under a Rayleigh fading channel environment is analysed, and techniques to estimate and remove multiple frequency offsets (FOs) for successive interference cancellation (SIC) and parallel interference cancellation (PIC) receivers are also proposed. The closed form expressions derived for bit error rate (BER) of SIC and PIC schemes in the presence of multiple FOs have been verified using extensive simulation results. The PIC is shown to be less sensitive to frequency offsets as compared to SIC. It is demonstrated through analytical and simulation results that the proposed frequency offset estimation and correction techniques provide approximately 8 dB gain in the BER performance over conventional SIC and PIC schemes in the presence of multiple frequency offsets.

One-dimensional particle-in-cell simulation of a current-free double layer in an expanding plasma

A one-dimensional particle-in-cell code using Monte Carlo collision techniques (MCC/PIC) for both ions and electrons is used to simulate our earlier experimental results which showed that a current-free electric double layer (DL) can form in a plasma expanding along a diverging magnetic field. These results differ from previous experimental or simulation systems where the double layers are driven by a current or by imposed potential differences. Both experiment and simulation show accelerated ions with energies up to about 60 eV on the low potential side of the plasma. A new numerical method is added to the conventional PIC scheme to simulate inductive electron heating, as distinct from the more common capacitively driven simulations. A loss process is introduced along the axis of the simulation to mimic the density decrease along the axis of an expanding plasma in a diverging magnetic field. The results from the MCC/PIC presented here suggest that the expansion rate compared to the ionization frequency is a critical parameter for the existence of the DL. For the DL to be absolutely current free, the source wall has to be allowed to charge: having both ends of the simulation at the same potential always resulted in a current flow. Also, the effect of the neutral pressure and of the size of the diffusion chamber are investigated. Finally we show that this particular type of DL has electrons in Boltzmann equilibrium and that it creates a supersonic ion beam.

Performance of Adaptive Multistage Fuzzy-Based Partial Parallel Interference Canceller for Multi-Carrier CDMA Systems

In this paper, we propose an adaptive multistage fuzzy-based partial parallel interference cancellation (FB-PPIC) multiuser detector for multi-carrier direct-sequence code-division multiple-access (MC-CDMA) communication systems over frequency selective fading channels. The partial cancellation tries to reduce the cancellation error in parallel interference cancellation (PIC) schemes due to the wrong interference estimations in the early stages and thus outperforms the conventional PIC (CPIC) under the heavy load for MC-CDMA systems. Therefore, in this paper, the adaptive cancellation weights are inferred from a proposed multistage fuzzy inference system (FIS) to perform effective PPIC multiuser detection under time-varying frequency selective fading channels in MC-CDMA systems. Simulation results show that the proposed adaptive fourstage FB-PPIC scheme outperforms both CPIC and constant weight PPIC (CW-PPIC) schemes, especially in near-far environments.