A study and comparison of COordinate Rotation DIgital Computer (CORDIC) architectures

Most of the digital signal processing applications performs operations like multiplication, addition, square-root calculation, solving linear equations etc. The physical implementation of these operations consumes a lot of hardware and, software implementation consumes large memory. Even if they are implemented in hardware, they do not provide high speed, and due to this reason, even today the software implementation dominates hardware. For realizing operations from basic to very complex ones with less hardware, a Co-ordinate Rotation Digital Computer (CORDIC) proves beneficial. It is capable of performing mathematical operations right from addition to highly complex functions with the help of arithmetic unit and shifters only. This paper gives a brief overview of various existing CORDIC architectures, their working principle, application domain and a comparison of these architectures. Different designs are available as per the target, i.e. high accuracy and precision, low area, low latency, hardware efficient, low power, reconfigurability, etc. that can be used as per the application in which the architecture needs to be employed

VLSI Implementation of a Cost-Efficient Loeffler-DCT Algorithm with Recursive CORDIC for DCT-Based Encoder

This paper presents a low-cost and high-quality; hardware-oriented; two-dimensional discrete cosine transform (2-D DCT) signal analyzer for image and video encoders. In order to reduce memory requirement and improve image quality; a novel Loeffler DCT based on a coordinate rotation digital computer (CORDIC) technique is proposed. In addition; the proposed algorithm is realized by a recursive CORDIC architecture instead of an unfolded CORDIC architecture with approximated scale factors. In the proposed design; a fully pipelined architecture is developed to efficiently increase operating frequency and throughput; and scale factors are implemented by using four hardware-sharing machines for complexity reduction. Thus; the computational complexity can be decreased significantly with only 0.01 dB loss deviated from the optimal image quality of the Loeffler DCT. Experimental results show that the proposed 2-D DCT spectral analyzer not only achieved a superior average peak signal–noise ratio (PSNR) compared to the previous CORDIC-DCT algorithms but also designed cost-efficient architecture for very large scale integration (VLSI) implementation. The proposed design was realized using a UMC 0.18-μm CMOS process with a synthesized gate count of 8.04 k and core area of 75,100 μm2. Its operating frequency was 100 MHz and power consumption was 4.17 mW. Moreover; this work had at least a 64.1% gate count reduction and saved at least 22.5% in power consumption compared to previous designs

CORDICのハードウェア構成及び応用に関する研究

電気通信大学201

Investigation of a Novel Common Subexpression Elimination Method for Low Power and Area Efficient DCT Architecture

A wide interest has been observed to find a low power and area efficient hardware design of discrete cosine transform (DCT) algorithm. This research work proposed a novel Common Subexpression Elimination (CSE) based pipelined architecture for DCT, aimed at reproducing the cost metrics of power and area while maintaining high speed and accuracy in DCT applications. The proposed design combines the techniques of Canonical Signed Digit (CSD) representation and CSE to implement the multiplier-less method for fixed constant multiplication of DCT coefficients. Furthermore, symmetry in the DCT coefficient matrix is used with CSE to further decrease the number of arithmetic operations. This architecture needs a single-port memory to feed the inputs instead of multiport memory, which leads to reduction of the hardware cost and area. From the analysis of experimental results and performance comparisons, it is observed that the proposed scheme uses minimum logic utilizing mere 340 slices and 22 adders. Moreover, this design meets the real time constraints of different video/image coders and peak-signal-to-noise-ratio (PSNR) requirements. Furthermore, the proposed technique has significant advantages over recent well-known methods along with accuracy in terms of power reduction, silicon area usage, and maximum operating frequency by 41%, 15%, and 15%, respectively

Power and Energy Aware Heterogeneous Computing Platform

During the last decade, wireless technologies have experienced significant development, most notably in the form of mobile cellular radio evolution from GSM to UMTS/HSPA and thereon to Long-Term Evolution (LTE) for increasing the capacity and speed of wireless data networks. Considering the real-time constraints of the new wireless standards and their demands for parallel processing, reconfigurable architectures and in particular, multicore platforms are part of the most successful platforms due to providing high computational parallelism and throughput. In addition to that, by moving toward Internet-of-Things (IoT), the number of wireless sensors and IP-based high throughput network routers is growing at a rapid pace. Despite all the progression in IoT, due to power and energy consumption, a single chip platform for providing multiple communication standards and a large processing bandwidth is still missing.The strong demand for performing different sets of operations by the embedded systems and increasing the computational performance has led to the use of heterogeneous multicore architectures with the help of accelerators for computationally-intensive data-parallel tasks acting as coprocessors. Currently, highly heterogeneous systems are the most power-area efficient solution for performing complex signal processing systems. Additionally, the importance of IoT has increased significantly the need for heterogeneous and reconfigurable platforms.On the other hand, subsequent to the breakdown of the Dennardian scaling and due to the enormous heat dissipation, the performance of a single chip was obstructed by the utilization wall since all cores cannot be clocked at their maximum operating frequency. Therefore, a thermal melt-down might be happened as a result of high instantaneous power dissipation. In this context, a large fraction of the chip, which is switched-off (Dark) or operated at a very low frequency (Dim) is called Dark Silicon. The Dark Silicon issue is a constraint for the performance of computers, especially when the up-coming IoT scenario will demand a very high performance level with high energy efficiency. Among the suggested solution to combat the problem of Dark-Silicon, the use of application-specific accelerators and in particular Coarse-Grained Reconfigurable Arrays (CGRAs) are the main motivation of this thesis work.This thesis deals with design and implementation of Software Defined Radio (SDR) as well as High Efficiency Video Coding (HEVC) application-specific accelerators for computationally intensive kernels and data-parallel tasks. One of the most important data transmission schemes in SDR due to its ability of providing high data rates is Orthogonal Frequency Division Multiplexing (OFDM). This research work focuses on the evaluation of Heterogeneous Accelerator-Rich Platform (HARP) by implementing OFDM receiver blocks as designs for proof-of-concept. The HARP template allows the designer to instantiate a heterogeneous reconfigurable platform with a very large amount of custom-tailored computational resources while delivering a high performance in terms of many high-level metrics. The availability of this platform lays an excellent foundation to investigate techniques and methods to replace the Dark or Dim part of chip with high-performance silicon dissipating very low power and energy. Furthermore, this research work is also addressing the power and energy issues of the embedded computing systems by tailoring the HARP for self-aware and energy-aware computing models. In this context, the instantaneous power dissipation and therefore the heat dissipation of HARP are mitigated on FPGA/ASIC by using Dynamic Voltage and Frequency Scaling (DVFS) to minimize the dark/dim part of the chip. Upgraded HARP for self-aware and energy-aware computing can be utilized as an energy-efficient general-purpose transceiver platform that is cognitive to many radio standards and can provide high throughput while consuming as little energy as possible. The evaluation of HARP has shown promising results, which makes it a suitable platform for avoiding Dark Silicon in embedded computing platforms and also for diverse needs of IoT communications.In this thesis, the author designed the blocks of OFDM receiver by crafting templatebased CGRA devices and then attached them to HARP’s Network-on-Chip (NoC) nodes. The performance of application-specific accelerators generated from templatebased CGRAs, the performance of the entire platform subsequent to integrating the CGRA nodes on HARP and the NoC traffic are recorded in terms of several highlevel performance metrics. In evaluating HARP on FPGA prototype, it delivers a performance of 0.012 GOPS/mW. Because of the scalability and regularity in HARP, the author considered its value as architectural constant. In addition to showing the gain and the benefits of maximizing the number of reconfigurable processing resources on a platform in comparison to the scaled performance of several state-of-the-art platforms, HARP’s architectural constant ensures application-independent figure of merit. HARP is further evaluated by implementing various sizes of Discrete Cosine transform (DCT) and Discrete Sine Transform (DST) dedicated for HEVC standard, which showed its ability to sustain Full HD 1080p format at 30 fps on FPGA. The author also integrated self-aware computing model in HARP to mitigate the power dissipation of an OFDM receiver. In the case of FPGA implementation, the total power dissipation of the platform showed 16.8% reduction due to employing the Feedback Control System (FCS) technique with Dynamic Frequency Scaling (DFS). Furthermore, by moving to ASIC technology and scaling both frequency and voltage simultaneously, significant dynamic power reduction (up to 82.98%) was achieved, which proved the DFS/DVFS techniques as one step forward to mitigate the Dark Silicon issue

Energy efficient hardware acceleration of multimedia processing tools

The world of mobile devices is experiencing an ongoing trend of feature enhancement and generalpurpose multimedia platform convergence. This trend poses many grand challenges, the most pressing being their limited battery life as a consequence of delivering computationally demanding features. The envisaged mobile application features can be considered to be accelerated by a set of underpinning hardware blocks Based on the survey that this thesis presents on modem video compression standards and their associated enabling technologies, it is concluded that tight energy and throughput constraints can still be effectively tackled at algorithmic level in order to design re-usable optimised hardware acceleration cores. To prove these conclusions, the work m this thesis is focused on two of the basic enabling technologies that support mobile video applications, namely the Shape Adaptive Discrete Cosine Transform (SA-DCT) and its inverse, the SA-IDCT. The hardware architectures presented in this work have been designed with energy efficiency in mind. This goal is achieved by employing high level techniques such as redundant computation elimination, parallelism and low switching computation structures. Both architectures compare favourably against the relevant pnor art in the literature. The SA-DCT/IDCT technologies are instances of a more general computation - namely, both are Constant Matrix Multiplication (CMM) operations. Thus, this thesis also proposes an algorithm for the efficient hardware design of any general CMM-based enabling technology. The proposed algorithm leverages the effective solution search capability of genetic programming. A bonus feature of the proposed modelling approach is that it is further amenable to hardware acceleration. Another bonus feature is an early exit mechanism that achieves large search space reductions .Results show an improvement on state of the art algorithms with future potential for even greater savings

Channelization for Multi-Standard Software-Defined Radio Base Stations

As the number of radio standards increase and spectrum resources come under more pressure, it becomes ever less efficient to reserve bands of spectrum for exclusive use by a single radio standard. Therefore, this work focuses on channelization structures compatible with spectrum sharing among multiple wireless standards and dynamic spectrum allocation in particular. A channelizer extracts independent communication channels from a wideband signal, and is one of the most computationally expensive components in a communications receiver. This work specifically focuses on non-uniform channelizers suitable for multi-standard Software-Defined Radio (SDR) base stations in general and public mobile radio base stations in particular. A comprehensive evaluation of non-uniform channelizers (existing and developed during the course of this work) shows that parallel and recombined variants of the Generalised Discrete Fourier Transform Modulated Filter Bank (GDFT-FB) represent the best trade-off between computational load and flexibility for dynamic spectrum allocation. Nevertheless, for base station applications (with many channels) very high filter orders may be required, making the channelizers difficult to physically implement. To mitigate this problem, multi-stage filtering techniques are applied to the GDFT-FB. It is shown that these multi-stage designs can significantly reduce the filter orders and number of operations required by the GDFT-FB. An alternative approach, applying frequency response masking techniques to the GDFT-FB prototype filter design, leads to even bigger reductions in the number of coefficients, but computational load is only reduced for oversampled configurations and then not as much as for the multi-stage designs. Both techniques render the implementation of GDFT-FB based non-uniform channelizers more practical. Finally, channelization solutions for some real-world spectrum sharing use cases are developed before some final physical implementation issues are considered

Embedded electronic systems driven by run-time reconfigurable hardware

Abstract This doctoral thesis addresses the design of embedded electronic systems based on run-time reconfigurable hardware technology –available through SRAM-based FPGA/SoC devices– aimed at contributing to enhance the life quality of the human beings. This work does research on the conception of the system architecture and the reconfiguration engine that provides to the FPGA the capability of dynamic partial reconfiguration in order to synthesize, by means of hardware/software co-design, a given application partitioned in processing tasks which are multiplexed in time and space, optimizing thus its physical implementation –silicon area, processing time, complexity, flexibility, functional density, cost and power consumption– in comparison with other alternatives based on static hardware (MCU, DSP, GPU, ASSP, ASIC, etc.). The design flow of such technology is evaluated through the prototyping of several engineering applications (control systems, mathematical coprocessors, complex image processors, etc.), showing a high enough level of maturity for its exploitation in the industry.Resumen Esta tesis doctoral abarca el diseño de sistemas electrónicos embebidos basados en tecnología hardware dinámicamente reconfigurable –disponible a través de dispositivos lógicos programables SRAM FPGA/SoC– que contribuyan a la mejora de la calidad de vida de la sociedad. Se investiga la arquitectura del sistema y del motor de reconfiguración que proporcione a la FPGA la capacidad de reconfiguración dinámica parcial de sus recursos programables, con objeto de sintetizar, mediante codiseño hardware/software, una determinada aplicación particionada en tareas multiplexadas en tiempo y en espacio, optimizando así su implementación física –área de silicio, tiempo de procesado, complejidad, flexibilidad, densidad funcional, coste y potencia disipada– comparada con otras alternativas basadas en hardware estático (MCU, DSP, GPU, ASSP, ASIC, etc.). Se evalúa el flujo de diseño de dicha tecnología a través del prototipado de varias aplicaciones de ingeniería (sistemas de control, coprocesadores aritméticos, procesadores de imagen, etc.), evidenciando un nivel de madurez viable ya para su explotación en la industria.Resum Aquesta tesi doctoral està orientada al disseny de sistemes electrònics empotrats basats en tecnologia hardware dinàmicament reconfigurable –disponible mitjançant dispositius lògics programables SRAM FPGA/SoC– que contribueixin a la millora de la qualitat de vida de la societat. S’investiga l’arquitectura del sistema i del motor de reconfiguració que proporcioni a la FPGA la capacitat de reconfiguració dinàmica parcial dels seus recursos programables, amb l’objectiu de sintetitzar, mitjançant codisseny hardware/software, una determinada aplicació particionada en tasques multiplexades en temps i en espai, optimizant així la seva implementació física –àrea de silici, temps de processat, complexitat, flexibilitat, densitat funcional, cost i potència dissipada– comparada amb altres alternatives basades en hardware estàtic (MCU, DSP, GPU, ASSP, ASIC, etc.). S’evalúa el fluxe de disseny d’aquesta tecnologia a través del prototipat de varies aplicacions d’enginyeria (sistemes de control, coprocessadors aritmètics, processadors d’imatge, etc.), demostrant un nivell de maduresa viable ja per a la seva explotació a la indústria