Square-rich fixed point polynomial evaluation on FPGAs

Polynomial evaluation is important across a wide range of application domains, so significant work has been done on accelerating its computation. The conventional algorithm, referred to as Horner's rule, involves the least number of steps but can lead to increased latency due to serial computation. Parallel evaluation algorithms such as Estrin's method have shorter latency than Horner's rule, but achieve this at the expense of large hardware overhead. This paper presents an efficient polynomial evaluation algorithm, which reforms the evaluation process to include an increased number of squaring steps. By using a squarer design that is more efficient than general multiplication, this can result in polynomial evaluation with a 57.9% latency reduction over Horner's rule and 14.6% over Estrin's method, while consuming less area than Horner's rule, when implemented on a Xilinx Virtex 6 FPGA. When applied in fixed point function evaluation, where precision requirements limit the rounding of operands, it still achieves a 52.4% performance gain compared to Horner's rule with only a 4% area overhead in evaluating 5th degree polynomials

Mapping for maximum performance on FPGA DSP blocks

The digital signal processing (DSP) blocks on modern field programmable gate arrays (FPGAs) are highly capable and support a variety of different datapath configurations. Unfortunately, inference in synthesis tools can fail to result in circuits that reach maximum DSP block throughput. We have developed a tool that maps graphs of add/sub/mult nodes to DSP blocks on Xilinx FPGAs, ensuring maximum throughput. This is done by delaying scheduling until after the graph has been partitioned onto DSP blocks and scheduled based on their pipeline structure, resulting in a throughput optimized implementation. Our tool prepares equivalent implementations in a variety of other methods, including high-level synthesis (HLS) for comparison. We show that the proposed approach offers an improvement in frequency of 100% over standard pipelined code, and 23% over Vivado HLS synthesis implementation, while retaining code portability, at the cost of a modest increase in logic resource usage

Tools for efficient Deep Learning

In the era of Deep Learning (DL), there is a fast-growing demand for building and deploying Deep Neural Networks (DNNs) on various platforms. This thesis proposes five tools to address the challenges for designing DNNs that are efficient in time, in resources and in power consumption. We first present Aegis and SPGC to address the challenges in improving the memory efficiency of DL training and inference. Aegis makes mixed precision training (MPT) stabler by layer-wise gradient scaling. Empirical experiments show that Aegis can improve MPT accuracy by at most 4\%. SPGC focuses on structured pruning: replacing standard convolution with group convolution (GConv) to avoid irregular sparsity. SPGC formulates GConv pruning as a channel permutation problem and proposes a novel heuristic polynomial-time algorithm. Common DNNs pruned by SPGC have maximally 1\% higher accuracy than prior work. This thesis also addresses the challenges lying in the gap between DNN descriptions and executables by Polygeist for software and POLSCA for hardware. Many novel techniques, e.g. statement splitting and memory partitioning, are explored and used to expand polyhedral optimisation. Polygeist can speed up software execution in sequential and parallel by 2.53 and 9.47 times on Polybench/C. POLSCA achieves 1.5 times speedup over hardware designs directly generated from high-level synthesis on Polybench/C. Moreover, this thesis presents Deacon, a framework that generates FPGA-based DNN accelerators of streaming architectures with advanced pipelining techniques to address the challenges from heterogeneous convolution and residual connections. Deacon provides fine-grained pipelining, graph-level optimisation, and heuristic exploration by graph colouring. Compared with prior designs, Deacon shows resource/power consumption efficiency improvement of 1.2x/3.5x for MobileNets and 1.0x/2.8x for SqueezeNets. All these tools are open source, some of which have already gained public engagement. We believe they can make efficient deep learning applications easier to build and deploy.Open Acces

A review of differentiable digital signal processing for music and speech synthesis

The term “differentiable digital signal processing” describes a family of techniques in which loss function gradients are backpropagated through digital signal processors, facilitating their integration into neural networks. This article surveys the literature on differentiable audio signal processing, focusing on its use in music and speech synthesis. We catalogue applications to tasks including music performance rendering, sound matching, and voice transformation, discussing the motivations for and implications of the use of this methodology. This is accompanied by an overview of digital signal processing operations that have been implemented differentiably, which is further supported by a web book containing practical advice on differentiable synthesiser programming (https://intro2ddsp.github.io/). Finally, we highlight open challenges, including optimisation pathologies, robustness to real-world conditions, and design trade-offs, and discuss directions for future research

Performance and area evaluations of processor-based benchmarks on FPGA devices

The computing system on SoCs is being long-term research since the FPGA technology has emerged due to its personality of re-programmable fabric, reconfigurable computing, and fast development time to market. During the last decade, uni-processor in a SoC is no longer to deal with the high growing market for complex applications such as Mobile Phones audio and video encoding, image and network processing. Due to the number of transistors on a silicon wafer is increasing, the recent FPGAs or embedded systems are advancing toward multi-processor-based design to meet tremendous performance and benefit this kind of systems are possible. Therefore, is an upcoming age of the MPSoC. In addition, most of the embedded processors are soft-cores, because they are flexible and reconfigurable for specific software functions and easy to build homogenous multi-processor systems for parallel programming. Moreover, behavioural synthesis tools are becoming a lot more powerful and enable to create datapath of logic units from high-level algorithms such as C to HDL and available for partitioning a HW/SW concurrent methodology. A range of embedded processors is able to implement on a FPGA-based prototyping to integrate the CPUs on a programmable device. This research is, firstly represent different types of computer architectures in modern embedded processors that are followed in different type of software applications (eg. Multi-threading Operations or Complex Functions) on FPGA-based SoCs; and secondly investigate their capability by executing a wide-range of multimedia software codes (Integer-algometric only) in different models of the processor-systems (uni-processor or multi-processor or Co-design), and finally compare those results in terms of the benchmarks and resource utilizations within FPGAs. All the examined programs were written in standard C and executed in a variety numbers of soft-core processors or hardware units to obtain the execution times. However, the number of processors and their customizable configuration or hardware datapath being generated are limited by a target FPGA resource, and designers need to understand the FPGA-based tradeoffs that have been considered - Speed versus Area. For this experimental purpose, I defined benchmarks into DLP / HLS catalogues, which are "data" and "function" intensive respectively. The programs of DLP will be executed in LEON3 MP and LE1 CMP multi-processor systems and the programs of HLS in the LegUp Co-design system on target FPGAs. In preliminary, the performance of the soft-core processors will be examined by executing all the benchmarks. The whole story of this thesis work centres on the issue of the execute times or the speed-up and area breakdown on FPGA devices in terms of different programs