Turbo Decoding and Detection for Wireless Applications

A historical perspective of turbo coding and turbo transceivers inspired by the generic turbo principles is provided, as it evolved from Shannon’s visionary predictions. More specifically, we commence by discussing the turbo principles, which have been shown to be capable of performing close to Shannon’s capacity limit. We continue by reviewing the classic maximum a posteriori probability decoder. These discussions are followed by studying the effect of a range of system parameters in a systematic fashion, in order to gauge their performance ramifications. In the second part of this treatise, we focus our attention on the family of iterative receivers designed for wireless communication systems, which were partly inspired by the invention of turbo codes. More specifically, the family of iteratively detected joint coding and modulation schemes, turbo equalization, concatenated spacetime and channel coding arrangements, as well as multi-user detection and three-stage multimedia systems are highlighted

Protograph-Based LDPC Code Design for Probabilistic Shaping with On-Off Keying

This work investigates protograph-based LDPC codes for the AWGN channel with OOK modulation. A non-uniform distribution of the OOK modulation symbols is considered to improve the power efficiency especially for low SNRs. To this end, a specific transmitter architecture based on time sharing is proposed that allows probabilistic shaping of (some) OOK modulation symbols. Tailored protograph-based LDPC code designs outperform standard schemes with uniform signaling and off-the-shelf codes by 1.1 dB for a transmission rate of 0.25 bits/channel use.Comment: Invited Paper for CISS 201

Novel fault tolerant Multi-Bit Upset (MBU) Error-Detection and Correction (EDAC) architecture

Desde el punto de vista de seguridad, la certificación aeronáutica de aplicaciones críticas de vuelo requiere diferentes técnicas que son usadas para prevenir fallos en los equipos electrónicos. Los fallos de tipo hardware debido a la radiación solar que existe a las alturas standard de vuelo, como SEU (Single Event Upset) y MCU (Multiple Bit Upset), provocan un cambio de estado de los bits que soportan la información almacenada en memoria. Estos fallos se producen, por ejemplo, en la memoria de configuración de una FPGA, que es donde se definen todas las funcionalidades. Las técnicas de protección requieren normalmente de redundancias que incrementan el coste, número de componentes, tamaño de la memoria y peso. En la fase de desarrollo de aplicaciones críticas de vuelo, generalmente se utilizan una serie de estándares o recomendaciones de diseño como ABD100, RTCA DO-160, IEC62395, etc, y diferentes técnicas de protección para evitar fallos del tipo SEU o MCU. Estas técnicas están basadas en procesos tecnológicos específicos como memorias robustas, codificaciones para detección y corrección de errores (EDAC), redundancias software, redundancia modular triple (TMR) o soluciones a nivel sistema. Esta tesis está enfocada a minimizar e incluso suprimir los efectos de los SEUs y MCUs que particularmente ocurren en la electrónica de avión como consecuencia de la exposición a radiación de partículas no cargadas (como son los neutrones) que se encuentra potenciada a las típicas alturas de vuelo. La criticidad en vuelo que tienen determinados sistemas obligan a que dichos sistemas sean tolerantes a fallos, es decir, que garanticen un correcto funcionamiento aún cuando se produzca un fallo en ellos. Es por ello que soluciones como las presentadas en esta tesis tienen interés en el sector industrial. La Tesis incluye una descripción inicial de la física de la radiación incidente sobre aeronaves, y el análisis de sus efectos en los componentes electrónicos aeronaúticos basados en semiconductor, que desembocan en la generación de SEUs y MCUs. Este análisis permite dimensionar adecuadamente y optimizar los procedimientos de corrección que se propongan posteriormente. La Tesis propone un sistema de corrección de fallos SEUs y MCUs que permita cumplir la condición de Sistema Tolerante a Fallos, a la vez que minimiza los niveles de redundancia y de complejidad de los códigos de corrección. El nivel de redundancia es minimizado con la introducción del concepto propuesto HSB (Hardwired Seed Bits), en la que se reduce la información esencial a unos pocos bits semilla, neutros frente a radiación. Los códigos de corrección requeridos se reducen a la corrección de un único error, gracias al uso del concepto de Distancia Virtual entre Bits, a partir del cual será posible corregir múltiples errores simultáneos (MCUs) a partir de códigos simples de corrección. Un ejemplo de aplicación de la Tesis es la implementación de una Protección Tolerante a Fallos sobre la memoria SRAM de una FPGA. Esto significa que queda protegida no sólo la información contenida en la memoria sino que también queda auto-protegida la función de protección misma almacenada en la propia SRAM. De esta forma, el sistema es capaz de auto-regenerarse ante un SEU o incluso un MCU, independientemente de la zona de la SRAM sobre la que impacte la radiación. Adicionalmente, esto se consigue con códigos simples tales como corrección por bit de paridad y Hamming, minimizando la dedicación de recursos de computación hacia tareas de supervisión del sistema.For airborne safety critical applications certification, different techniques are implemented to prevent failures in electronic equipments. The HW failures at flying heights of aircrafts related to solar radiation such as SEU (Single-Event-Upset) and MCU (Multiple Bit Upset), causes bits alterations that corrupt the information at memories. These HW failures cause errors, for example, in the Configuration-Code of an FPGA that defines the functionalities. The protection techniques require classically redundant functionalities that increases the cost, components, memory space and weight. During the development phase for airborne safety critical applications, different aerospace standards are generally recommended as ABD100, RTCA-DO160, IEC62395, etc, and different techniques are classically used to avoid failures such as SEU or MCU. These techniques are based on specific technology processes, Hardened memories, error detection and correction codes (EDAC), SW redundancy, Triple Modular Redundancy (TMR) or System level solutions. This Thesis is focussed to minimize, and even to remove, the effects of SEUs and MCUs, that particularly occurs in the airborne electronics as a consequence of its exposition to solar radiation of non-charged particles (for example the neutrons). These non-charged particles are even powered at flying altitudes due to aircraft volume. The safety categorization of different equipments/functionalities requires a design based on fault-tolerant approach that means, the system will continue its normal operation even if a failure occurs. The solution proposed in this Thesis is relevant for the industrial sector because of its Fault-tolerant capability. Thesis includes an initial description for the physics of the solar radiation that affects into aircrafts, and also the analyses of their effects into the airborne electronics based on semiconductor components that create the SEUs and MCUs. This detailed analysis allows the correct sizing and also the optimization of the procedures used to correct the errors. This Thesis proposes a system that corrects the SEUs and MCUs allowing the fulfilment of the Fault-Tolerant requirement, reducing the redundancy resources and also the complexity of the correction codes. The redundancy resources are minimized thanks to the introduction of the concept of HSB (Hardwired Seed Bits), in which the essential information is reduced to a few seed bits, neutral to radiation. The correction codes required are reduced to the correction of one error thanks to the use of the concept of interleaving distance between adjacent bits, this allows the simultaneous multiple error correction with simple single error correcting codes. An example of the application of this Thesis is the implementation of the Fault-tolerant architecture of an SRAM-based FPGA. That means that the information saved in the memory is protected but also the correction functionality is auto protected as well, also saved into SRAM memory. In this way, the system is able to self-regenerate the information lost in case of SEUs or MCUs. This is independent of the SRAM area affected by the radiation. Furthermore, this performance is achieved by means simple error correcting codes, as parity bits or Hamming, that minimize the use of computational resources to this supervision tasks for system.Programa Oficial de Doctorado en Ingeniería Eléctrica, Electrónica y AutomáticaPresidente: Luis Alfonso Entrena Arrontes.- Secretario: Pedro Reviriego Vasallo.- Vocal: Mª Luisa López Vallej

ECC Memory for Fault Tolerant RISC-V Processors

Numerous processor cores based on the popular RISC-V Instruction Set Architecture have been developed in the past few years and are freely available. The same applies for RISC-V ecosystems that allow to implement System-on-Chips with RISC-V processors on ASICs or FPGAs. However, so far only very little concepts and implementations for fault tolerant RISC-V processors are existing. This inhibits the use of RISC-V for safety-critical applications (as in the automotive domain) or within radiation environments (as in the aerospace domain). This work enhances the existing implementations Rocket and BOOM with a generic Error Correction Code (ECC) protected memory as a first step towards fault tolerance. The impact of the ECC additions on performance and resource utilization are discussed

Exploration and Analysis of Combinations of Hamming Codes in 32-bit Memories

Reducing the threshold voltage of electronic devices increases their sensitivity to electromagnetic radiation dramatically, increasing the probability of changing the memory cells' content. Designers mitigate failures using techniques such as Error Correction Codes (ECCs) to maintain information integrity. Although there are several studies of ECC usage in spatial application memories, there is still no consensus in choosing the type of ECC as well as its organization in memory. This work analyzes some configurations of the Hamming codes applied to 32-bit memories in order to use these memories in spatial applications. This work proposes the use of three types of Hamming codes: Ham(31,26), Ham(15,11), and Ham(7,4), as well as combinations of these codes. We employed 36 error patterns, ranging from one to four bit-flips, to analyze these codes. The experimental results show that the Ham(31,26) configuration, containing five bits of redundancy, obtained the highest rate of simple error correction, almost 97\%, with double, triple, and quadruple error correction rates being 78.7\%, 63.4\%, and 31.4\%, respectively. While an ECC configuration encompassed four Ham(7.4), which uses twelve bits of redundancy, only fixes 87.5\% of simple errors

Protograph-Based LDPC Code Design for Ternary Message Passing Decoding

A ternary message passing (TMP) decoding algorithm for low-density parity-check codes is developed. All messages exchanged between variable and check nodes have a ternary alphabet, and the variable nodes exploit soft information from the channel. A density evolution analysis is developed for unstructured and protograph-based ensembles. For unstructured ensembles the stability condition is derived. Optimized ensembles for TMP decoding show asymptotic gains of up to 0.6 dB with respect to ensembles optimized for binary message passing decoding. Finite length simulations of codes from TMP-optimized ensembles show gains of up to 0.5 dB under TMP compared to protograph-based codes designed for unquantized belief propagation decoding