Cédric Marchand

Conflict Resolution by Matrix Reordering for DVB-T2 LDPC Decoders

Layered decoding is known to provide efficient and high-throughput implementation of LDPC decoders. However, the implementation of the layered architecture is not always straightforward because of the memory access conflicts in the a-posteriori information memory. In this paper, we focus our attention on a particular type of conflict introduced by the existence of multiple diagonal matrices in the DVB-T2 parity check matrix structure. We illustrate how the reordering of the matrix reduces the number of conflicts, at the cost of limiting the level of parallelism. We then propose a parity extending process to solve the remaining conflicts. Fixed point simulation results show coherent performance without modifying the layered architecture.

Conflict resolution for pipelined layered LDPC decoders

Many of the current LDPC implementations of DVB-S2, T2 or WiMAX standard use the so-called layered architecture combined with pipeline. However, the pipeline process may introduce memory access conflicts. The resolution of these conflicts requires careful scheduling combined with dedicated hardware and/or idle cycle insertion. In this paper, based on the DVB-T2 example, we explain explicitly how the scheduling can solve most of the pipeline conflicts. The two contributions of the paper are 1) how to split the matrix to relax the pipeline conflicts at a cost of a reduced maximum available parallelism 2) how to project the problem of the research of an efficient scheduling to the well-known “Travelling Salesman Problem” and use a genetic algorithm to solve it.

Architecture and finite precision optimization for layered LDPC decoders

Layered decoding is known to provide efficient and high-throughput implementation of LDPC decoders. However, two main issues affect performance and area of practical implementations: quantization and memory. Quantization can strongly degrade performance and memory area can constitute up to 70% of the total area of the decoder implementation. This is the case of the DVB-S2,-T2 and -C2 decoders when considering long frames. This paper is then dedicated to the optimization of these decoders. We first focus on the reduction of the number of quantization bits and propose solutions based on the efficient saturation of the channel values, the extrinsic messages and the a posteriori probabilities (APP). We reduce from 6 to 5 the number of quantization bits for the channel and the extrinsic messages and from 8 to 6 the APPs, without introducing any performance loss. We then consider the optimization of the size of the extrinsic memory considering a multiple code rates decoder. The paper finally presents an optimized fixed-point architecture of a DVB-S2 layered decoder and its implementation on an FPGA device.

Hardware Discrete Channel Emulator

In this paper, the emulation environment named Hardware Discrete Channel Emulator (HDCE) has been developed as a coherent framework to emulate on a hardware device (FPGA as the implementation platform in the verification) and simulate on a computer the effect of an Additive White Gaussian Noise (AWGN) in a base band channel. The HDCE is able to generate more than 180 M samples per second for a very low hardware cost, which has been achieved in an efficient architecture. Using the HDCE, the performance evaluation of a coding scheme for a BER of 10−9 requires only one minute of emulation time.

Design, Evaluation, and Optimization of Physical Unclonable Functions Based on Transient Effect Ring Oscillators

This paper proposes a theoretical study and a full overview of the design, evaluation, and optimization of a PUF based on transient element ring oscillators (TERO-PUF). We show how, by following some simple design rules and strategies, designers can build and optimize a TERO-PUF with the state-of-the-art PUF characteristics in a standard CMOS technology. To this end, we analyzed the uniqueness, steadiness, and randomness of responses generated from 30 test chips in a CMOS 350-nm process in nominal and corner voltage and temperature conditions. Response generation schemes are proposed and discussed to optimize the PUF performances and reduce its area without noticeable loss in its output quality. In particular, we show that the large area of the basic blocks in the TERO-PUF is balanced by the high level of entropy extracted in each basic block. Guidelines are provided to balance reliability and randomness of the responses and the design area.

High-speed conflict-free layered LDPC decoder for the DVB-S2, -T2 AND -C2 standards

Layered decoding is known to provide efficient and high-throughput implementation of LDPC decoders. However, the implementation of layered architecture is not always straightforward because of memory update conflicts in the a posteriori information memory. In this paper, we focus our attention on a particular type of conflict that is due to multiple-diagonal sub-matrices in the DVB-S2, -T2 and -C2 parity-check matrices. We propose an original solution that combines repetition of the concerned layers and the write disable of the a posteriori information memory. The implementation of this solution on an FPGA-based LDPC decoder led to an average air throughput of 200 Mbit/s with a parallelism of 45 and a clock frequency of 300 MHz. Increasing the parallelism to 120 led to an average air throughput of 720 Mbit/s with a clock frequency of 400 MHz on CMOS technology.

Implementation and Characterization of a Physical Unclonable Function for IoT: A Case Study With the TERO-PUF

Today, life is becoming increasingly connected. From TVs to smartphones, including vehicles, buildings, and household appliances, everything is interconnected in what we call the “Internet of Things” (IoT). IoT is now part of our life and we have to deal with it. More than ten billion devices are already connected and five times more are expected to be deployed in the next five years. While deployment and integration of IoT is expanding, one of the main challenge is to provide practical solutions to security, privacy, and trust issues in IoT. Protection and security mechanisms need to include features such as interoperability and scalability but also traceability, authentication, and access control while remaining lightweight. Among the most promising approaches to such security mechanisms, physical unclonable functions (PUFs) provide a unique identifier for similar but different integrated circuits using some of their physical characteristics. These types of functions can thus be used to authenticate integrated circuits, provide traceability and access control. This paper presents a comprehensive case study of the transient effect ring oscillator (RO) PUF from its implementation on FPGAs to its complete characterization. The implementation of the PUF is detailed for two different families of FPGAs: 1) Xilinx Spartan 6 and 2) Altera Cyclone V. All the metrics used for the characterization are explained in detail and the results of the characterization include robustness to environmental parameters including variations in temperature and voltage. Finally, we compare our results with those obtained for another PUF: the RO PUF. All the design files are available online to ensure repeatability and enable comparison of our contribution with other studies.

NB-LDPC check node with pre-sorted input

Non-binary low-density parity-check codes have better communication performance compared to their binary counterparts but they suffer from higher complexity, especially for the check node processing. In this paper a sorting of the input vectors based on a reliability criteria is performed prior to the check node processing. This presorting process allows the Extended Min-Sum (EMS) check node process to focus its effort mainly on the weakest inputs. Proof is given for a check node of degree 12 in GF(64) for the syndrome based algorithm with a number of computed syndromes reduced by a factor of four which directly impacts the check node complexity without performance degradation.

Simplified Compression of Redundancy Free Trellis Sections in Turbo Decoder

It has been recently shown that a sequence of R = q(M - 1) redundancy free trellis stages of a recursive convolutional decoder can be compressed in a sequence of L = M - 1 trellis stages, where M is the number of states of the trellis and q is a positive integer. In this paper, we show that for an M state Turbo decoder, among the L compressed trellis stages, only m = 3 or even m = 2 are necessary. The so-called m-min algorithm can either be used to increase the throughput for decoding a high rate turbo-code and/or to reduce its power consumption.

Design and implementation of a near maximum likelihood decoder for Cortex codes

Cortex codes are an emerging family among the rate-1/2 self-dual systematic linear block codes with good distance properties. This paper investigates the challenging issue of designing an efficient Maximum Likelihood (ML) decoder for Cortex codes. It first reviews a dedicated architecture that takes advantage of the particular structure of this code to simplify the decoding. Then, we propose a technique to improve the architecture by the generation of an optimal list of binary vectors. An optimal stopping criterion is also proposed. Simulation results show that the proposed architecture achieves an excellent performance/complexity trade-off for short Cortex codes. The proposed decoder architecture has been implemented on an FPGA device for the (24,12,8) Cortex code. This implementation supports an information throughput of 300 Mb/s. At a signal-to-noise ratio Eb/No=8 dB, the Bit Error Rate equals 2 × 10-10, which is close to the performance of the Maximum Likelihood decoder.