Efficient parallel implementation of three‐point viterbi decoding algorithm on CPU,GPU, and FPGA

In wireless communication, Viterbi decoding algorithm (VDA) is the one of most popular channel decoding algorithms, which is widely used in WLAN, WiMAX, or 3G communications. However, the throughput of Viterbi decoder is constrained by the convolutional characteristic. Recently, the three‐point VDA (TVDA) was proposed to solve this problem. In TVDA, the whole procedure can be divided into three phases, the forward, trace‐back, and decoding phases. In this paper, we analyze the parallelism of TVDA and propose parallel TVDA on the multi‐core CPU, graphics processing unit (GPU), and field programmable gate array (FPGA). We demonstrate approaches that fully exploit its performance potential on CPU, GPU, and FPGA computing platforms. For CPU platforms, we perform two optimization methods, single instruction multiple data and multithreading to gain over 145 × speedup over the naive CPU version on a quad‐core CPU platform. For GPU platforms, we propose the combination of cached memory optimization, coalesced global memory accesses, codeword packing scheme, and asynchronous data transition, achieving the throughput of 404.65 Mbps and 12 × speedup over initial GPU versions on an NVIDIA GeForce GTX580 card and 7 × speedup over Intel quad‐core CPU i5‐2300, under the same manufacturing year and both with fully optimized schemes. In addition, for FPGA platforms, we customize a radix‐4 pipelined architecture for the TVDA in a 45‐nm FPGA chip from Xilinx (XC6VLX760). Under 209.15‐MHz clock rate, it achieves a throughput of 418.30 Mbps. Finally, we also discuss the performance evaluation and efficiency comparison of different flexible architectures for real‐time Viterbi decoding in terms of the decoding throughput, power consumption, optimization schemes, programming costs, and price costs.Copyright © 2013 John Wiley & Sons, Ltd.     

Parallel strategies for 2D Discrete Wavelet Transform in shared memory systems and GPUs

In this work, we analyze the behavior of several parallel algorithms developed to compute the two-dimensional discrete wavelet transform using both OpenMP over a multicore platform and CUDA over a GPU. The proposed parallel algorithms are based on both regular filter-bank convolution and lifting transform with small implementations changes focused on both the memory requirements reduction and the complexity reduction. We compare our implementations against sequential CPU algorithms and other recently proposed algorithms like the SMDWT algorithm over different CPUs and the Wippig&Klauer algorithm over a GTX280 GPU. Finally, we analyze their behavior when algorithms are adapted to each architecture. Significant execution times improvements are achieved on both multicore platforms and GPUs. Depending on the multicore platform used, we achieve speed-ups of 1.9 and 3.4 using two and four processes, respectively, when compared to the sequential CPU algorithm, or we obtain speed-ups of 7.1 and 8.9 using eight and ten processes. Regarding GPUs, the GPU convolution algorithm using the GPU shared memory obtains speed-ups up to 20 when compared to the CPU sequential algorithm.     

Supernodal sparse Cholesky factorization on graphics processing units

Sparse Cholesky factorization is the most computationally intensive component in solving large sparse linear systems and is the core algorithm of numerous scientific computing applications. A large number of sparse Cholesky factorization algorithms have previously emerged, exploiting architectural features for various computing platforms. The recent use of graphics processing units (GPUs) to accelerate structured parallel applications shows the potential to achieve significant acceleration relative to desktop performance. However, sparse Cholesky factorization has not been explored sufficiently because of the complexity involved in its efficient implementation and the concerns of low GPU utilization. In this paper, we present a new approach for sparse Cholesky factorization on GPUs. We present the organization of the sparse matrix supernode data structure for GPU and propose a queue‐based approach for the generation and scheduling of GPU tasks with dense linear algebraic operations. We also design a subtree‐based parallel method for multi‐GPU system. These approaches increase GPU utilization, thus resulting in substantial computational time reduction. Comparisons are made with the existing parallel solvers by using problems arising from practical applications. The experiment results show that the proposed approaches can substantially improve sparse Cholesky factorization performance on GPUs. Relative to a highly optimized parallel algorithm on a 12‐core node, we were able to obtain speedups in the range 1.59× to 2.31× by using one GPU and 1.80× to 3.21× by using two GPUs. Relative to a state‐of‐the‐art solver based on supernodal method for CPU‐GPU heterogeneous platform, we were able to obtain speedups in the range 1.52× to 2.30× by using one GPU and 2.15× to 2.76× by using two GPUs. Concurrency and Computation: Practice and Experience, 2013. Copyright © 2013 John Wiley & Sons, Ltd.     

Parallelization of 2D MPDATA EULAG algorithm on hybrid architectures with GPU accelerators

EULAG (Eulerian/semi-Lagrangian fluid solver) is an established computational model developed for simulating thermo-fluid flows across a wide range of scales and physical scenarios. The dynamic core of EULAG includes the multidimensional positive definite advection transport algorithm (MPDATA) and elliptic solver. In this work we investigate aspects of an optimal parallel version of the 2D MPDATA algorithm on modern hybrid architectures with GPU accelerators, where computations are distributed across both GPU and CPU components.Using the hybrid OpenMP–OpenCL model of parallel programming opens the way to harness the power of CPU–GPU platforms in a portable way. In order to better utilize features of such computing platforms, comprehensive adaptations of MPDATA computations to hybrid architectures are proposed. These adaptations are based on efficient strategies for memory and computing resource management, which allow us to ease memory and communication bounds, and better exploit the theoretical floating point efficiency of CPU–GPU platforms. The main contributions of the paper are:

• •method for the decomposition of the 2D MPDATA algorithm as a tool to adapt MPDATA computations to hybrid architectures with GPU accelerators by minimizing communication and synchronization between CPU and GPU components at the cost of additional computations;
• •method for the adaptation of 2D MPDATA computations to multicore CPU platforms, based on space and temporal blocking techniques;
• •method for the adaptation of the 2D MPDATA algorithm to GPU architectures, based on a hierarchical decomposition strategy across data and computation domains, with support provided by the developed GPU task scheduler allowing for the flexible management of available resources;
• •approach to the parametric optimization of 2D MPDATA computations on GPUs using the autotuning technique, which allows us to provide a portable implementation methodology across a variety of GPUs.

Hybrid platforms tested in this study contain different numbers of CPUs and GPUs – from solutions consisting of a single CPU and a single GPU to the most elaborate configuration containing two CPUs and two GPUs. Processors of different vendors are employed in these systems – both Intel and AMD CPUs, as well as GPUs from NVIDIA and AMD. For all the grid sizes and for all the tested platforms, the hybrid version with computations spread across CPU and GPU components allows us to achieve the highest performance. In particular, for the largest MPDATA grids used in our experiments, the speedups of the hybrid versions over GPU and CPU versions vary from 1.30 to 1.69, and from 1.95 to 2.25, respectively.     

Accelerating computation of Euclidean distance map using the GPU with efficient memory access

Recent graphics processing units (GPUs), which have many processing units, can be used for general purpose parallel computation. To utilise the powerful computing ability, GPUs are widely used for general purpose processing. Since GPUs have very high memory bandwidth, the performance of GPUs greatly depends on memory access. The main contribution of this paper is to present a GPU implementation of computing Euclidean distance map (EDM) with efficient memory access. Given a two-dimensional (2D) binary image, EDM is a 2D array of the same size such that each element stores the Euclidean distance to the nearest black pixel. In the proposed GPU implementation, we have considered many programming issues of the GPU system such as coalesced access of global memory and shared memory bank conflicts, and so on. To be concrete, by transposing 2D arrays, which are temporal data stored in the global memory, with the shared memory, the main access from/to the global memory enables to be performed by coalesced access. In practice, we have implemented our parallel algorithm in the following three modern GPU systems: Tesla C1060, GTX 480 and GTX 580. The experimental results have shown that, for an input binary image with size of 9216 × 9216, our implementation can achieve a speedup factor of 54 over the sequential algorithm implementation.     

High‐speed parallel implementations of the rainbow method based on perfect tables in a heterogeneous system

The computing power of graphics processing units (GPU) has increased rapidly, and there has been extensive research on general‐purpose computing on GPU (GPGPU) for cryptographic algorithms such as RSA, Elliptic Curve Cryptosystem (ECC), NTRU, and Advanced Encryption Standard. With the rise of GPGPU, commodity computers have become complex heterogeneous GPU+CPU systems. This new architecture poses new challenges and opportunities in high‐performance computing. In this paper, we present high‐speed parallel implementations of the rainbow method based on perfect tables, which is known as the most efficient time‐memory trade‐off, in the heterogeneous GPU+CPU system. We give a complete analysis of the effect of multiple checkpoints on reducing the cost of false alarms and take advantage of it for load balancing between GPU and CPU. For GTX460, our implementation is about 1.86 and 3.25 times faster than other GPU‐accelerated implementations, RainbowCrack and Cryptohaze, respectively, and for GTX580, 1.53 and 2.40 times faster. Copyright © 2014 John Wiley & Sons, Ltd.     

一种适应GPU的混合OLAP查询处理模型

通用GPU因其强大的并行计算能力成为新兴的高性能计算平台,并逐渐成为近年来学术界在高性能数据库实现技术领域的研究热点.但当前GPU数据库领域的研究沿袭的是ROLAP(relational OLAP)多维分析模型,研究主要集中在关系操作符在GPU平台上的算法实现和性能优化技术,以哈希连接的GPU并行算法研究为中心.GPU拥有数千个并行计算单元,但其逻辑控制单元较少,相对于CPU具有更强的并行计算能力,但逻辑控制和复杂内存管理能力较弱,因此并不适合需要复杂数据结构和复杂内存管理机制的内存数据库查询处理算法直接移植到GPU平台.提出了面向GPU向量计算特性的混合OLAP多维分析模型semi-MOLAP,将MOLAP(multidimensionalOLAP)模型的直接数组访问和计算特性与ROLAP模型的存储效率结合在一起,实现了一个基于完全数组结构的GPU semi-MOLAP多维分析模型,简化了GPU数据管理,降低了GPU semi-MOLAP算法复杂度,提高了GPU semi-MOLAP算法的代码执行率.同时,基于GPU和CPU计算的特点,将semi-MOLAP操作符拆分为CPU和GPU平台的协同计算,提高了CPU和GPU的利用率以及OLAP的查询整体性能.     

A performance study of general-purpose applications on graphics processors using CUDA

Graphics processors (GPUs) provide a vast number of simple, data-parallel, deeply multithreaded cores and high memory bandwidths. GPU architectures are becoming increasingly programmable, offering the potential for dramatic speedups for a variety of general-purpose applications compared to contemporary general-purpose processors (CPUs). This paper uses NVIDIA’s C-like CUDA language and an engineering sample of their recently introduced GTX 260 GPU to explore the effectiveness of GPUs for a variety of application types, and describes some specific coding idioms that improve their performance on the GPU. GPU performance is compared to both single-core and multicore CPU performance, with multicore CPU implementations written using OpenMP. The paper also discusses advantages and inefficiencies of the CUDA programming model and some desirable features that might allow for greater ease of use and also more readily support a larger body of applications.     

Reducing Communication Overhead in Multi-GPU Hybrid Solver for 2D Laplace’s Equation

The possibility of porting algorithms to graphics processing units (GPUs) raises significant interest among researchers. The natural next step is to employ multiple GPUs, but communication overhead may limit further performance improvement. In this paper, we investigate techniques reducing overhead on hybrid CPU–GPU platforms, including careful data layout and usage of GPU memory spaces, and use of non-blocking communication. In addition, we propose an accurate automatic load balancing technique for heterogeneous environments. We validate our approach on a hybrid Jacobi solver for 2D Laplace’s Equation. Experiments carried out using various graphics hardware and types of connectivity have confirmed that the proposed data layout allows our fastest CUDA kernels to reach the analytical limit for memory bandwidth (up to 106 GB/s on NVidia GTX 480), and that the non-blocking communication significantly reduces overhead, allowing for almost linear speed-up, even when communication is carried out over relatively slow networks.     

面向多核CPU和GPU平台的数据库星形连接优化

针对联机分析处理（OLAP）中事实表与多个维表之间的星形连接执行代价较高的问题,提出了一种在先进的多核中央处理器（CPU）和图形处理器（GPU）上的星形连接优化方法。首先,对于多核CPU和GPU平台的星形连接中的物化代价问题,提出了基于向量索引的CPU和GPU平台上的向量化星形连接算法;然后,通过面向CPU cache和GPU shared memory大小的向量划分来提出基于向量粒度的星形连接操作,从而优化星形连接中向量索引的物化代价;最后,提出了基于压缩向量的星形连接算法,将定长向量索引压缩为变长的二元向量索引,从而在低选择率时提高cache内向量索引的存储访问效率。实验结果表明,在CPU平台上向量化星形连接算法相对于常规的行式或列式连接性能提升了40%以上,在GPU平台上向量化星形连接算法相对于常规星形连接算法性能提升超过了15%;与当前主流的内存数据库和GPU数据库相比,优化的星形连接算法性能相对于最优内存数据库Hyper性能提升了130%,相对于最优的GPU数据库OmniSci性能提升了80%。可见基于向量索引的向量化星形连接优化技术有效地提高了多表连接性能,与传统优化技术相比,基于向量索引的向量化处理提高了较小cache上的数据存储访问效率,压缩向量进一步提升了向量索引在cache内的访问效率。     

Fast finite difference Poisson solvers on heterogeneous architectures

In this paper we propose and evaluate a set of new strategies for the solution of three dimensional separable elliptic problems on CPU–GPU platforms. The numerical solution of the system of linear equations arising when discretizing those operators often represents the most time consuming part of larger simulation codes tackling a variety of physical situations. Incompressible fluid flows, electromagnetic problems, heat transfer and solid mechanic simulations are just a few examples of application areas that require efficient solution strategies for this class of problems. GPU computing has emerged as an attractive alternative to conventional CPUs for many scientific applications. High speedups over CPU implementations have been reported and this trend is expected to continue in the future with improved programming support and tighter CPU–GPU integration. These speedups by no means imply that CPU performance is no longer critical. The conventional CPU-control–GPU-compute pattern used in many applications wastes much of CPU’s computational power. Our proposed parallel implementation of a classical cyclic reduction algorithm to tackle the large linear systems arising from the discretized form of the elliptic problem at hand, schedules computing on both the GPU and the CPUs in a cooperative way. The experimental result demonstrates the effectiveness of this approach.     

基于GPU的X25519/448密钥协商算法的高速实现

密钥协商算法目前被广泛运用于包括TLS/SSL在内的各种安全协议中,以支持通信双方在不被保护的信道中建立共享秘密。特别是在TLS 1.3中,为保证前向安全性（forward secrecy）,移除了利用静态RSA公钥加密算法进行密钥交换的方式,仅保留Diffie Hellman （DH）密钥协商算法,并引入了一个新的密钥协商算法X25519/448。相比于TLS 1.3其他两类DH密钥协商算法（有限域DH和基于NIST-P曲线的椭圆曲线DH）,X25519/448的计算量更小且参数的选取过程公开,更受产业界青睐。事实上,包括OpenSSH在内的众多开源项目已经将X25519/448作为默认的密钥协商算法。虽然X25519/448的计算量相对较小,但是在云计算、电子交易等大规模并发请求的场景下,它所依赖的椭圆曲线点乘运算仍然是性能瓶颈。本文利用图形处理器（Graphics Processing Unit,GPU）针对X25519/448进行了多层次的性能优化,同时考虑了可能的计时攻击威胁,完成性能的最大化。所实现的X25519/448在桌面级GPU GTX 1080达到每秒2860412/357944次操作,在嵌入式GPU Tegra X2上达到每秒155459/17909次操作,性能远远超过CPU、FPGA和同类GPU平台实现。其中,Tegra X2上的X25519实现分别是ARM CPU的8.5倍和FPGA的13.2倍,体现了GPU在嵌入式密码计算领域的强大潜能。     

基于GPGPU的生物序列快速比对

在CPU-GPU异构平台下,提出一种高效的生物序列比对方案。该方案利用GPU的并行处理能力,通过对读延迟、写延迟、重组函数及数据传输进行优化,在OpenCL框架下重构Smith-Waterman算法,加快生物序列比对速度。实验结果证明,与CPU上传统的串行算法相比,该算法最高可获得约100倍的性能提升。     

基于FPGA的递归神经网络加速器的研究进展

递归神经网络(RNN)近些年来被越来越多地应用在机器学习领域,尤其是在处理序列学习任务中,相比CNN等神经网络性能更为优异。但是RNN及其变体,如LSTM、GRU等全连接网络的计算及存储复杂性较高,导致其推理计算慢,很难被应用在产品中。一方面,传统的计算平台CPU不适合处理RNN的大规模矩阵运算;另一方面,硬件加速平台GPU的共享内存和全局内存使基于GPU的RNN加速器的功耗比较高。FPGA 由于其并行计算及低功耗的特性,近些年来被越来越多地用来做 RNN 加速器的硬件平台。对近些年基于FPGA的RNN加速器进行了研究,将其中用到的数据优化算法及硬件架构设计技术进行了总结介绍,并进一步提出了未来研究的方向。     

A discontinuous Galerkin method with block cyclic reduction solver for simulating compressible flows on GPUs

An optimized implementation of a block tridiagonal solver based on the block cyclic reduction (BCR) algorithm is introduced and its portability to graphics processing units (GPUs) is explored. The computations are performed on the NVIDIA GTX480 GPU. The results are compared with those obtained on a single core of Intel Core i7-920 (2.67 GHz) in terms of calculation runtime. The BCR linear solver achieves the maximum speedup of 5.84x with block size of 32 over the CPU Thomas algorithm in double precision. The proposed BCR solver is applied to discontinuous Galerkin (DG) simulations on structured grids via alternating direction implicit (ADI) scheme. The GPU performance of the entire computational fluid dynamics (CFD) code is studied for different compressible inviscid flow test cases. For a general mesh with quadrilateral elements, the ADI-DG solver achieves the maximum total speedup of 7.45x for the piecewise quadratic solution over the CPU platform in double precision.     

GPU-OSDDA: a bit-vector GPU-based deadlock detection algorithm for single-unit resource systems

This article presents a GPU-based single-unit deadlock detection methodology and its algorithm, GPU-OSDDA. Our GPU-based design utilizes parallel hardware of GPU to perform computations and thus is able to overcome the major limitation of prior hardware-based approaches by having the capability of handling thousands of processes and resources, whilst achieving real-world run-times. By utilizing a bit-vector technique for storing algorithm matrices and designing novel, efficient algorithmic methods, we not only reduce memory usage dramatically but also achieve two orders of magnitude speedup over CPU equivalents. Additionally, GPU-OSDDA acts as an interactive service to the CPU, because all of the aforementioned computations and matrix management techniques take place on the GPU, requiring minimal interaction with the CPU. GPU-OSDDA is implemented on three GPU cards: Tesla C2050, Tesla K20c, and Titan X. Our design shows overall speedups of 6-595X over CPU equivalents.     

GPU-accelerated string matching for database applications

Implementations of relational operators on GPU processors have resulted in order of magnitude speedups compared to their multicore CPU counterparts. Here we focus on the efficient implementation of string matching operators common in SQL queries. Due to different architectural features the optimal algorithm for CPUs might be suboptimal for GPUs. GPUs achieve high memory bandwidth by running thousands of threads, so it is not feasible to keep the working set of all threads in the cache in a naive implementation. In GPUs the unit of execution is a group of threads and in the presence of loops and branches, threads in a group have to follow the same execution path; if some threads diverge, then different paths are serialized. We study the cache memory efficiency of single- and multi-pattern string matching algorithms for conventional and pivoted string layouts in the GPU memory. We evaluate the memory efficiency in terms of memory access pattern and achieved memory bandwidth for different parallelization methods. To reduce thread divergence, we split string matching into multiple steps. We evaluate the different matching algorithms in terms of average- and worst-case performance and compare them against state-of-the-art CPU and GPU libraries. Our experimental evaluation shows that thread and memory efficiency affect performance significantly and that our proposed methods outperform previous CPU and GPU algorithms in terms of raw performance and power efficiency. The Knuth–Morris–Pratt algorithm is a good choice for GPUs because its regular memory access pattern makes it amenable to several GPU optimizations.     

CPU–GPU hybrid parallel strategy for cosmological simulations

Gadget is a simulation application for N‐body and smoothed particle hydrodynamics problems in cosmology, and it is widely applied in solving series of cosmological problems. N‐body focuses on the motion of the interaction of N particles, and smoothed particle hydrodynamics is a fluid simulation algorithm that studies the movement of fluid through particle simulation. Most scholars focus their attention on accelerating Gadget on multi‐core CPU or graphics processing units (GPUs) platforms. However, these research activities failed to achieve CPU–GPU hybrid computing, which resulted in tremendous waste of CPU computing resources. In this paper, we propose a CPU–GPU hybrid parallel strategy to accelerate Gadget‐2, a massively parallel structure formation code for cosmological simulations. This strategy uses CPU and GPU to process the calculation of short‐range force. To ensure CPU and GPU workload balance, a dynamic task allocation scheme is proposed according to the computational performance difference between the CPU and GPU. Experimental results showed that our CPU–GPU hybrid parallel strategy achieved an overall speedup factor of 18.6 and a partial speedup factor for short‐range force calculation of 28.35 compared with a single‐core CPU implementation for particles in million‐size magnitudes. Moreover, compared with a GPU platform that contained 12 CPU cores and one GPU, our hybrid parallel strategy obtained overall speedup and partial speedup factors of 6% and 20%, respectively. Furthermore, the scalability of the hybrid strategy is very fine – its performance will be enhanced when the problem scale is increasing. However, this strategy also has its limitation that the performance enhancement will be decreasing if the ratio(the number of CPU cores divides that of the GPU cards) reduces. Finally, in our hybrid strategy, the CPU coefficient of utilization improved by 17.14% or better. Copyright © 2013 John Wiley & Sons, Ltd.     

A comparison of GPU strategies for unstructured mesh physics

There have been few efforts to date to write physics algorithms for general unstructured meshes (meshes composed of arbitrary polygons/polyhedra) on graphics processing units (GPUs). Typical strategies for GPU memory management, such as double‐buffering and coalescing memory accesses, are difficult to apply to the irregular memory storage patterns of unstructured meshes. This paper presents results from an initial GPU version of a typical unstructured mesh kernel. Three different memory management strategies are described and implemented. Timing results for all three strategies are presented, in some cases showing speedups of over 20 times compared with the original CPU code.Copyright © 2012 John Wiley & Sons, Ltd.     

PSkel: A stencil programming framework for CPU‐GPU systems

The use of Graphics Processing Units (GPUs) for high‐performance computing has gained growing momentum in recent years. Unfortunately, GPU‐programming platforms like Compute Unified Device Architecture (CUDA) are complex, user unfriendly, and increase the complexity of developing high‐performance parallel applications. In addition, runtime systems that execute those applications often fail to fully utilize the parallelism of modern CPU‐GPU systems. Typically, parallel kernels run entirely on the most powerful device available, leaving other devices idle. These observations sparked research in two directions: (1) high‐level approaches to software development for GPUs, which strike a balance between performance and ease of programming; and (2) task partitioning to fully utilize the available devices. In this paper, we propose a framework, called PSkel, that provides a single high‐level abstraction for stencil programming on heterogeneous CPU‐GPU systems, while allowing the programmer to partition and assign data and computation to both CPU and GPU. Our current implementation uses parallel skeletons to transparently leverage Intel Threading Building Blocks (Intel Corporation, Santa Clara, CA, USA) and NVIDIA CUDA (Nvidia Corporation, Santa Clara, CA, USA). In our experiments, we observed that parallel applications with task partitioning can improve average performance by up to 76% and 28% compared with CPU‐only and GPU‐only parallel applications, respectively. Copyright © 2015 John Wiley & Sons, Ltd.