37 research outputs found

    HIGH-SPEED CO-PROCESSORS BASED ON REDUNDANT NUMBER SYSTEMS

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    There is a growing demand for high-speed arithmetic co-processors for use in applications with computationally intensive tasks. For instance, Fast Fourier Transform (FFT) co-processors are used in real-time multimedia services and financial applications use decimal co-processors to perform large amounts of decimal computations. Using redundant number systems to eliminate word-wide carry propagation within interim operations is a well-known technique to increase the speed of arithmetic hardware units. Redundant number systems are mostly useful in applications where many consecutive arithmetic operations are performed prior to the final result, making it advantageous for arithmetic co-processors. This thesis discusses the implementation of two popular arithmetic co-processors based on redundant number systems: namely, the binary FFT co-processor and the decimal arithmetic co-processor. FFT co-processors consist of several consecutive multipliers and adders over complex numbers. FFT architectures are implemented based on fixed-point and floating-point arithmetic. The main advantage of floating-point over fixed-point arithmetic is the wide dynamic range it introduces. Moreover, it avoids numerical issues such as scaling and overflow/underflow concerns at the expense of higher cost. Furthermore, floating-point implementation allows for an FFT co-processor to collaborate with general purpose processors. This offloads computationally intensive tasks from the primary processor. The first part of this thesis, which is devoted to FFT co-processors, proposes a new FFT architecture that uses a new Binary-Signed Digit (BSD) carry-limited adder, a new floating-point BSD multiplier and a new floating-point BSD three-operand adder. Finally, a new unit labeled as Fused-Dot-Product-Add (FDPA) is designed to compute AB+CD+E over floating-point BSD operands. The second part of the thesis discusses decimal arithmetic operations implemented in hardware using redundant number systems. These operations are popularly used in decimal floating-point co-processors. A new signed-digit decimal adder is proposed along with a sequential decimal multiplier that uses redundant number systems to increase the operational frequency of the multiplier. New redundant decimal division and square-root units are also proposed. The architectures proposed in this thesis were all implemented using Hardware-Description-Language (Verilog) and synthesized using Synopsys Design Compiler. The evaluation results prove the speed improvement of the new arithmetic units over previous pertinent works. Consequently, the FFT and decimal co-processors designed in this thesis work with at least 10% higher speed than that of previous works. These architectures are meant to fulfill the demand for the high-speed co-processors required in various applications such as multimedia services and financial computations

    FPGA Implementation of Double Precision Floating Point Multiplier

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    High speed computation is the need of today’s generation of Processors.  To accomplish this major task,  many functions  are implemented  inside the hardware  of the processor rather than  having  software  computing  the  same  task. Majority of the operations which the processor executes are Arithmetic operations which are widely used in many applications that require heavy mathematical operations such as scientific calculations, image and signal processing. Especially in the field of signal processing, multiplication division operation is widely used in many applications. The major issue with these operations in hardware is that much iteration is required which results in slow operation while fast algorithms require complex computations within each cycle. The result of a Division operation results in a either  in Quotient  and  Remainder  or a Floating  point  number  which is the  major reason  to  make it  more complex than  Multiplication  operation

    Flexible Multiple-Precision Fused Arithmetic Units for Efficient Deep Learning Computation

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    Deep Learning has achieved great success in recent years. In many fields of applications, such as computer vision, biomedical analysis, and natural language processing, deep learning can achieve a performance that is even better than human-level. However, behind this superior performance is the expensive hardware cost required to implement deep learning operations. Deep learning operations are both computation intensive and memory intensive. Many research works in the literature focused on improving the efficiency of deep learning operations. In this thesis, special focus is put on improving deep learning computation and several efficient arithmetic unit architectures are proposed and optimized for deep learning computation. The contents of this thesis can be divided into three parts: (1) the optimization of general-purpose arithmetic units for deep learning computation; (2) the design of deep learning specific arithmetic units; (3) the optimization of deep learning computation using 3D memory architecture. Deep learning models are usually trained on graphics processing unit (GPU) and the computations are done with single-precision floating-point numbers. However, recent works proved that deep learning computation can be accomplished with low precision numbers. The half-precision numbers are becoming more and more popular in deep learning computation due to their lower hardware cost compared to the single-precision numbers. In conventional floating-point arithmetic units, single-precision and beyond are well supported to achieve a better precision. However, for deep learning computation, since the computations are intensive, low precision computation is desired to achieve better throughput. As the popularity of half-precision raises, half-precision operations are also need to be supported. Moreover, the deep learning computation contains many dot-product operations and therefore, the support of mixed-precision dot-product operations can be explored in a multiple-precision architecture. In this thesis, a multiple-precision fused multiply-add (FMA) architecture is proposed. It supports half/single/double/quadruple-precision FMA operations. In addition, it also supports 2-term mixed-precision dot-product operations. Compared to the conventional multiple-precision FMA architecture, the newly added half-precision support and mixed-precision dot-product only bring minor resource overhead. The proposed FMA can be used as general-purpose arithmetic unit. Due to the support of parallel half-precision computations and mixed-precision dot-product computations, it is especially suitable for deep learning computation. For the design of deep learning specific computation unit, more optimizations can be performed. First, a fixed-point and floating-point merged multiply-accumulate (MAC) unit is proposed. As deep learning computation can be accomplished with low precision number formats, the support of high precision floating-point operations can be eliminated. In this design, the half-precision floating-point format is supported to provide a large dynamic range to handle small gradients for deep learning training. For deep learning inference, 8-bit fixed-point 2-term dot-product computation is supported. Second, a flexible multiple-precision MAC unit architecture is proposed. The proposed MAC unit supports both fixed-point operations and floating-point operations. For floating-point format, the proposed unit supports one 16-bit MAC operation or sum of two 8-bit multiplications plus a 16-bit addend. To make the proposed MAC unit more versatile, the bit-width of exponent and mantissa can be flexibly exchanged. By setting the bit-width of exponent to zero, the proposed MAC unit also supports fixed-point operations. For fixed-point format, the proposed unit supports one 16-bit MAC or sum of two 8-bit multiplications plus a 16-bit addend. Moreover, the proposed unit can be further divided to support sum of four 4-bit multiplications plus a 16-bit addend. At the lowest precision, the proposed MAC unit supports accumulating of eight 1-bit logic AND operations to enable the support of binary neural networks. Finally, a MAC architecture based on the posit format, a promising numerical format in deep learning computation, is proposed to facilitate the use of posit format in deep learning computation. In addition to the above mention arithmetic units, an improved hybrid memory cube (HMC) architecture is proposed for weight-sharing deep neural network processing. By modifying the HMC instruction set and HMC logic layer, the major part of the deep learning computation can be accomplished inside memory. The proposed design reduces the memory bandwidth requirements and thus reduces the energy consumed by memory data transfer

    Hybrid FPGA: Architecture and Interface

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    Hybrid FPGAs (Field Programmable Gate Arrays) are composed of general-purpose logic resources with different granularities, together with domain-specific coarse-grained units. This thesis proposes a novel hybrid FPGA architecture with embedded coarse-grained Floating Point Units (FPUs) to improve the floating point capability of FPGAs. Based on the proposed hybrid FPGA architecture, we examine three aspects to optimise the speed and area for domain-specific applications. First, we examine the interface between large coarse-grained embedded blocks (EBs) and fine-grained elements in hybrid FPGAs. The interface includes parameters for varying: (1) aspect ratio of EBs, (2) position of the EBs in the FPGA, (3) I/O pins arrangement of EBs, (4) interconnect flexibility of EBs, and (5) location of additional embedded elements such as memory. Second, we examine the interconnect structure for hybrid FPGAs. We investigate how large and highdensity EBs affect the routing demand for hybrid FPGAs over a set of domain-specific applications. We then propose three routing optimisation methods to meet the additional routing demand introduced by large EBs: (1) identifying the best separation distance between EBs, (2) adding routing switches on EBs to increase routing flexibility, and (3) introducing wider channel width near the edge of EBs. We study and compare the trade-offs in delay, area and routability of these three optimisation methods. Finally, we employ common subgraph extraction to determine the number of floating point adders/subtractors, multipliers and wordblocks in the FPUs. The wordblocks include registers and can implement fixed point operations. We study the area, speed and utilisation trade-offs of the selected FPU subgraphs in a set of floating point benchmark circuits. We develop an optimised coarse-grained FPU, taking into account both architectural and system-level issues. Furthermore, we investigate the trade-offs between granularities and performance by composing small FPUs into a large FPU. The results of this thesis would help design a domain-specific hybrid FPGA to meet user requirements, by optimising for speed, area or a combination of speed and area

    Efficient reconfigurable architectures for 3D medical image compression

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    This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.Recently, the more widespread use of three-dimensional (3-D) imaging modalities, such as magnetic resonance imaging (MRI), computed tomography (CT), positron emission tomography (PET), and ultrasound (US) have generated a massive amount of volumetric data. These have provided an impetus to the development of other applications, in particular telemedicine and teleradiology. In these fields, medical image compression is important since both efficient storage and transmission of data through high-bandwidth digital communication lines are of crucial importance. Despite their advantages, most 3-D medical imaging algorithms are computationally intensive with matrix transformation as the most fundamental operation involved in the transform-based methods. Therefore, there is a real need for high-performance systems, whilst keeping architectures exible to allow for quick upgradeability with real-time applications. Moreover, in order to obtain efficient solutions for large medical volumes data, an efficient implementation of these operations is of significant importance. Reconfigurable hardware, in the form of field programmable gate arrays (FPGAs) has been proposed as viable system building block in the construction of high-performance systems at an economical price. Consequently, FPGAs seem an ideal candidate to harness and exploit their inherent advantages such as massive parallelism capabilities, multimillion gate counts, and special low-power packages. The key achievements of the work presented in this thesis are summarised as follows. Two architectures for 3-D Haar wavelet transform (HWT) have been proposed based on transpose-based computation and partial reconfiguration suitable for 3-D medical imaging applications. These applications require continuous hardware servicing, and as a result dynamic partial reconfiguration (DPR) has been introduced. Comparative study for both non-partial and partial reconfiguration implementation has shown that DPR offers many advantages and leads to a compelling solution for implementing computationally intensive applications such as 3-D medical image compression. Using DPR, several large systems are mapped to small hardware resources, and the area, power consumption as well as maximum frequency are optimised and improved. Moreover, an FPGA-based architecture of the finite Radon transform (FRAT)with three design strategies has been proposed: direct implementation of pseudo-code with a sequential or pipelined description, and block random access memory (BRAM)- based method. An analysis with various medical imaging modalities has been carried out. Results obtained for image de-noising implementation using FRAT exhibits promising results in reducing Gaussian white noise in medical images. In terms of hardware implementation, promising trade-offs on maximum frequency, throughput and area are also achieved. Furthermore, a novel hardware implementation of 3-D medical image compression system with context-based adaptive variable length coding (CAVLC) has been proposed. An evaluation of the 3-D integer transform (IT) and the discrete wavelet transform (DWT) with lifting scheme (LS) for transform blocks reveal that 3-D IT demonstrates better computational complexity than the 3-D DWT, whilst the 3-D DWT with LS exhibits a lossless compression that is significantly useful for medical image compression. Additionally, an architecture of CAVLC that is capable of compressing high-definition (HD) images in real-time without any buffer between the quantiser and the entropy coder is proposed. Through a judicious parallelisation, promising results have been obtained with limited resources. In summary, this research is tackling the issues of massive 3-D medical volumes data that requires compression as well as hardware implementation to accelerate the slowest operations in the system. Results obtained also reveal a significant achievement in terms of the architecture efficiency and applications performance.Ministry of Higher Education Malaysia (MOHE), Universiti Tun Hussein Onn Malaysia (UTHM) and the British Counci

    Metoda projektovanja namenskih programabilnih hardverskih akceleratora

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    Namenski računarski sistemi se najčesće projektuju tako da mogu da podrže izvršavanje većeg broja željenih aplikacija. Za postizanje što veće efikasnosti, preporučuje se korišćenje specijalizovanih procesora Application Specific Instruction Set Processors–ASIPs, na kojima se izvršavanje programskih instrukcija obavlja u za to projektovanim i nezavisnimhardverskim blokovima (akceleratorima). Glavni razlog za postojanje nezavisnih akceleratora jeste postizanjemaksimalnog ubrzanja izvršavanja instrukcija. Me ¯ dutim, ovakav pristup podrazumeva da je za svaki od blokova potrebno projektovati integrisano (ASIC) kolo, čime se bitno povećava ukupna površina procesora. Metod za smanjenje ukupne površine jeste primena DatapathMerging tehnike na dijagrame toka podataka ulaznih aplikacija. Kao rezultat, dobija se jedan programabilni hardverski akcelerator, sa mogućnosću izvršavanja svih željenih instrukcija. Međutim, ovo ima negativne posledice na efikasnost sistema. često se zanemaruje činjenica da, usled veoma ograničene fleksibilnosti ASIC hardverskih akceleratora, specijalizovani procesori imaju i drugih nedostataka. Naime, u slučaju izmena, ili prosto nadogradnje, specifikacije procesora u završnimfazama projektovanja, neizbežna su velika kašnjenja i dodatni troškovi promene dizajna. U ovoj tezi je pokazano da zahtevi za fleksibilnošću i efikasnošću ne moraju biti međusobno isključivi. Demonstrirano je je da je moguce uneti ograničeni nivo fleksibilnosti hardvera tokom dizajn procesa, tako da dobijeni hardverski akcelerator može da izvršava ne samo aplikacije definisane na samom početku projektovanja, već i druge aplikacije, pod uslovom da one pripadaju istom domenu. Drugim rečima, u tezi je prezentovana metoda projektovanja fleksibilnih namenskih hardverskih akceleratora. Eksperimentalnom evaluacijom pokazano je da su tako dobijeni akceleratori u većini slučajeva samo do 2 x veće površine ili 2 x većeg kašnjenja od akceleratora dobijenih primenom DatapathMerging metode, koja pritom ne pruža ni malo dodatne fleksibilnosti.Typically, embedded systems are designed to support a limited set of target applications. To efficiently execute those applications, they may employ Application Specific Instruction Set Processors (ASIPs) enriched with carefully designed Instructions Set Extension (ISEs) implemented in dedicated hardware blocks. The primary goal when designing ISEs is efficiency, i.e. the highest possible speedup, which implies synthesizing all critical computational kernels of the application dataflow graphs as an Application Specific Integrated Circuit (ASICs). Yet, this can lead to high on-chip area dedicated solely to ISEs. One existing approach to decrease this area by paying a reasonable price of decreased efficiency is to perform datapath merging on input dataflow graphs (DFGs) prior to generating the ASIC. It is often neglected that even higher costs can be accidentally incurred due to the lack of flexibility of such ISEs. Namely, if late design changes or specification upgrades happen, significant time-to-market delays and nonrecurrent costs for redesigning the ISEs and the corresponding ASIPs become inevitable. This thesis shows that flexibility and efficiency are not mutually exclusive. It demonstrates that it is possible to introduce a limited amount of hardware flexibility during the design process, such that the resulting datapath is in fact reconfigurable and thus can execute not only the applications known at design time, but also other applications belonging to the same application-domain. In other words, it proposes a methodology for designing domain-specific reconfigurable arrays out of a limited set of input applications. The experimental results show that resulting arrays are usually around 2£ larger and 2£ slower than ISEs synthesized using datapath merging, which have practically null flexibility beyond the design set of DFGs

    Mengenal pasti tahap pengetahuan pelajar tahun akhir Ijazah Sarjana Muda Kejuruteraan di KUiTTHO dalam bidang keusahawanan dari aspek pengurusan modal

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    Malaysia ialah sebuah negara membangun di dunia. Dalam proses pembangunan ini, hasrat negara untuk melahirkan bakal usahawan beijaya tidak boleh dipandang ringan. Oleh itu, pengetahuan dalam bidang keusahawanan perlu diberi perhatian dengan sewajarnya; antara aspek utama dalam keusahawanan ialah modal. Pengurusan modal yang tidak cekap menjadi punca utama kegagalan usahawan. Menyedari hakikat ini, kajian berkaitan Pengurusan Modal dijalankan ke atas 100 orang pelajar Tahun Akhir Kejuruteraan di KUiTTHO. Sampel ini dipilih kerana pelajar-pelajar ini akan menempuhi alam pekeijaan di mana mereka boleh memilih keusahawanan sebagai satu keijaya. Walau pun mereka bukanlah pelajar dari jurusan perniagaan, namun mereka mempunyai kemahiran dalam mereka cipta produk yang boleh dikomersialkan. Hasil dapatan kajian membuktikan bahawa pelajar-pelajar ini berminat dalam bidang keusahawanan namun masih kurang pengetahuan tentang pengurusan modal terutamanya dalam menentukan modal permulaan, pengurusan modal keija dan caracara menentukan pembiayaan kewangan menggunakan kaedah jualan harian. Oleh itu, satu garis panduan Pengurusan Modal dibina untuk memberi pendedahan kepada mereka

    Design of large polyphase filters in the Quadratic Residue Number System

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    Temperature aware power optimization for multicore floating-point units

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    Topics in Adaptive Optics

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    Advances in adaptive optics technology and applications move forward at a rapid pace. The basic idea of wavefront compensation in real-time has been around since the mid 1970s. The first widely used application of adaptive optics was for compensating atmospheric turbulence effects in astronomical imaging and laser beam propagation. While some topics have been researched and reported for years, even decades, new applications and advances in the supporting technologies occur almost daily. This book brings together 11 original chapters related to adaptive optics, written by an international group of invited authors. Topics include atmospheric turbulence characterization, astronomy with large telescopes, image post-processing, high power laser distortion compensation, adaptive optics and the human eye, wavefront sensors, and deformable mirrors
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