Combined Integer and Floating Point Multiplication Architecture(CIFM) for FPGAs and Its Reversible Logic Implementation

In this paper, the authors propose the idea of a combined integer and floating point multiplier(CIFM) for FPGAs. The authors propose the replacement of existing 18x18 dedicated multipliers in FPGAs with dedicated 24x24 multipliers designed with small 4x4 bit multipliers. It is also proposed that for every dedicated 24x24 bit multiplier block designed with 4x4 bit multipliers, four redundant 4x4 multiplier should be provided to enforce the feature of self repairability (to recover from the faults). In the proposed CIFM reconfigurability at run time is also provided resulting in low power. The major source of motivation for providing the dedicated 24x24 bit multiplier stems from the fact that single precision floating point multiplier requires 24x24 bit integer multiplier for mantissa multiplication. A reconfigurable, self-repairable 24x24 bit multiplier (implemented with 4x4 bit multiply modules) will ideally suit this purpose, making FPGAs more suitable for integer as well floating point operations. A dedicated 4x4 bit multiplier is also proposed in this paper. Moreover, in the recent years, reversible logic has emerged as a promising technology having its applications in low power CMOS, quantum computing, nanotechnology, and optical computing. It is not possible to realize quantum computing without reversible logic. Thus, this paper also paper provides the reversible logic implementation of the proposed CIFM. The reversible CIFM designed and proposed here will form the basis of the completely reversible FPGAs.Comment: Published in the proceedings of the The 49th IEEE International Midwest Symposium on Circuits and Systems (MWSCAS 2006), Puerto Rico, August 2006. Nominated for the Student Paper Award(12 papers are nominated for Student paper Award among all submissions

Customizing floating-point units for FPGAs: Area-performance-standard trade-offs

The high integration density of current nanometer technologies allows the implementation of complex floating-point applications in a single FPGA. In this work the intrinsic complexity of floating-point operators is addressed targeting configurable devices and making design decisions providing the most suitable performance-standard compliance trade-offs. A set of floating-point libraries composed of adder/subtracter, multiplier, divisor, square root, exponential, logarithm and power function are presented. Each library has been designed taking into account special characteristics of current FPGAs, and with this purpose we have adapted the IEEE floating-point standard (software-oriented) to a custom FPGA-oriented format. Extended experimental results validate the design decisions made and prove the usefulness of reducing the format complexit

Pipelining Of Double Precision Floating Point Division And Square Root Operations On Field-programmable Gate Arrays

Many space applications, such as vision-based systems, synthetic aperture radar, and radar altimetry rely increasingly on high data rate DSP algorithms. These algorithms use double precision floating point arithmetic operations. While most DSP applications can be executed on DSP processors, the DSP numerical requirements of these new space applications surpass by far the numerical capabilities of many current DSP processors. Since the tradition in DSP processing has been to use fixed point number representation, only recently have DSP processors begun to incorporate floating point arithmetic units, even though most of these units handle only single precision floating point addition/subtraction, multiplication, and occasionally division. While DSP processors are slowly evolving to meet the numerical requirements of newer space applications, FPGA densities have rapidly increased to parallel and surpass even the gate densities of many DSP processors and commodity CPUs. This makes them attractive platforms to implement compute-intensive DSP computations. Even in the presence of this clear advantage on the side of FPGAs, few attempts have been made to examine how wide precision floating point arithmetic, particularly division and square root operations, can perform on FPGAs to support these compute-intensive DSP applications. In this context, this thesis presents the sequential and pipelined designs of IEEE-754 compliant double floating point division and square root operations based on low radix digit recurrence algorithms. FPGA implementations of these algorithms have the advantage of being easily testable. In particular, the pipelined designs are synthesized based on careful partial and full unrolling of the iterations in the digit recurrence algorithms. In the overall, the implementations of the sequential and pipelined designs are common-denominator implementations which do not use any performance-enhancing embedded components such as multipliers and block memory. As these implementations exploit exclusively the fine-grain reconfigurable resources of Virtex FPGAs, they are easily portable to other FPGAs with similar reconfigurable fabrics without any major modifications. The pipelined designs of these two operations are evaluated in terms of area, throughput, and dynamic power consumption as a function of pipeline depth. Pipelining experiments reveal that the area overhead tends to remain constant regardless of the degree of pipelining to which the design is submitted, while the throughput increases with pipeline depth. In addition, these experiments reveal that pipelining reduces power considerably in shallow pipelines. Pipelining further these designs does not necessarily lead to significant power reduction. By partitioning these designs into deeper pipelines, these designs can reach throughputs close to the 100 MFLOPS mark by consuming a modest 1% to 8% of the reconfigurable fabric within a Virtex-II XC2VX000 (e.g., XC2V1000 or XC2V6000) FPGA

When FPGAs are better at floating-point than microprocessors

It has been shown that FPGAs could outperform high-end microprocessors on floating-point computations thanks to massive parallelism. However, most previous studies re-implement in the FPGA the operators present in a processor. This is a safe and relatively straightforward approach, but it doesn't exploit the greater flexibility of the FPGA. This article is a survey of the many ways in which the FPGA implementation of a given floating-point computation can be not only faster, but also more accurate than its microprocessor counterpart. Techniques studied here include custom precision, specific accumulator design, dedicated architectures for coarser operators which have to be implemented in software in processors, and others. A real-world biomedical application illustrates these claims. This study also points to how current FPGA fabrics could be enhanced for better floating-point support

Exploration of Power-Performance Tradeoffs through Parameterization of FPGA-based Multiprocessor Systems

The design space of FPGA-based processor systems is huge, because many parameters can be modified at design- and runtime to achieve an efficient system solution in terms of performance, power and energy consumption. Such parameters are, for example, the number of processors and their configurations, the clock frequencies at design time, the use of dynamic frequency scaling at runtime, the application task distribution, and the FPGA type and size. The major contribution of this paper is the exploration of all these parameters and their impact on performance, power dissipation, and energy consumption for four different application scenarios. The goal is to introduce a first approach for a developer’s guideline, supporting the choice of an optimized and specific system parameterization for a target application on FPGA-based multiprocessor systems-on-chip. The FPGAs used for these explorations were Xilinx Virtex-4 and Xilinx Virtex-5. The performance results were measured on the FPGA while the power consumption was estimated using the Xilinx XPower Analyzer tool. Finally, a novel runtime adaptive multiprocessor architecture for dynamic clock frequency scaling is introduced and used for the performance, power and energy consumption evaluations

An FPGA Implementation of the Powering Function with Single Precision Floating-Point Arithm

n this work we present an FPGA implementation of a single-precision °oating-point arith- metic powering unit. Our powering unit is based on an indirect method that transforms xy into a chain of operations involving a logarithm, a multiplication, an exponential function and dedicated logic for the case of a negative base. This approach allows to use the full input range for the base and exponent without limiting the range of the exponent as in direct methods. A tailored hardware implementation is exploited to increase the accuracy of the unit reducing the relative errors of the operations while high performance is obtained taking advantage of the FPGA capabilities for parallel architectures. A careful design of the pipeline stages of the involved operators allows a clock cycle of 201.3 MHz on a Xilinx Virtex-4 FPG

Real-time implementation of 3D LiDAR point cloud semantic segmentation in an FPGA

Dissertação de mestrado em Informatics EngineeringIn the last few years, the automotive industry has relied heavily on deep learning applications for perception solutions. With data-heavy sensors, such as LiDAR, becoming a standard, the task of developing low-power and real-time applications has become increasingly more challenging. To obtain the maximum computational efficiency, no longer can one focus solely on the software aspect of such applications, while disregarding the underlying hardware. In this thesis, a hardware-software co-design approach is used to implement an inference application leveraging the SqueezeSegV3, a LiDAR-based convolutional neural network, on the Versal ACAP VCK190 FPGA. Automotive requirements carefully drive the development of the proposed solution, with real-time performance and low power consumption being the target metrics. A first experiment validates the suitability of Xilinx’s Vitis-AI tool for the deployment of deep convolutional neural networks on FPGAs. Both the ResNet-18 and SqueezeNet neural networks are deployed to the Zynq UltraScale+ MPSoC ZCU104 and Versal ACAP VCK190 FPGAs. The results show that both networks achieve far more than the real-time requirements while consuming low power. Compared to an NVIDIA RTX 3090 GPU, the performance per watt during both network’s inference is 12x and 47.8x higher and 15.1x and 26.6x higher respectively for the Zynq UltraScale+ MPSoC ZCU104 and the Versal ACAP VCK190 FPGA. These results are obtained with no drop in accuracy in the quantization step. A second experiment builds upon the results of the first by deploying a real-time application containing the SqueezeSegV3 model using the Semantic-KITTI dataset. A framerate of 11 Hz is achieved with a peak power consumption of 78 Watts. The quantization step results in a minimal accuracy and IoU degradation of 0.7 and 1.5 points respectively. A smaller version of the same model is also deployed achieving a framerate of 19 Hz and a peak power consumption of 76 Watts. The application performs semantic segmentation over all the point cloud with a field of view of 360°.Nos últimos anos a indústria automóvel tem cada vez mais aplicado deep learning para solucionar problemas de perceção. Dado que os sensores que produzem grandes quantidades de dados, como o LiDAR, se têm tornado standard, a tarefa de desenvolver aplicações de baixo consumo energético e com capacidades de reagir em tempo real tem-se tornado cada vez mais desafiante. Para obter a máxima eficiência computacional, deixou de ser possível focar-se apenas no software aquando do desenvolvimento de uma aplicação deixando de lado o hardware subjacente. Nesta tese, uma abordagem de desenvolvimento simultâneo de hardware e software é usada para implementar uma aplicação de inferência usando o SqueezeSegV3, uma rede neuronal convolucional profunda, na FPGA Versal ACAP VCK190. São os requisitos automotive que guiam o desenvolvimento da solução proposta, sendo a performance em tempo real e o baixo consumo energético, as métricas alvo principais. Uma primeira experiência valida a aptidão da ferramenta Vitis-AI para a implantação de redes neuronais convolucionais profundas em FPGAs. As redes ResNet-18 e SqueezeNet são ambas implantadas nas FPGAs Zynq UltraScale+ MPSoC ZCU104 e Versal ACAP VCK190. Os resultados mostram que ambas as redes ultrapassam os requisitos de tempo real consumindo pouca energia. Comparado com a GPU NVIDIA RTX 3090, a performance por Watt durante a inferência de ambas as redes é superior em 12x e 47.8x e 15.1x e 26.6x respetivamente na Zynq UltraScale+ MPSoC ZCU104 e na Versal ACAP VCK190. Estes resultados foram obtidos sem qualquer perda de accuracy na etapa de quantização. Uma segunda experiência é feita no seguimento dos resultados da primeira, implantando uma aplicação de inferência em tempo real contendo o modelo SqueezeSegV3 e usando o conjunto de dados Semantic-KITTI. Um framerate de 11 Hz é atingido com um pico de consumo energético de 78 Watts. O processo de quantização resulta numa perda mínima de accuracy e IoU com valores de 0.7 e 1.5 pontos respetivamente. Uma versão mais pequena do mesmo modelo é também implantada, atingindo uma framerate de 19 Hz e um pico de consumo energético de 76 Watts. A aplicação desenvolvida executa segmentação semântica sobre a totalidade das nuvens de pontos LiDAR, com um campo de visão de 360°