47 research outputs found
A Flexible BCH decoder for Flash Memory Systems using Cascaded BCH codes
NAND ash memories are widely used in consumer electronics, such as tablets, personal computers, smartphones, and gaming systems. However, unlike other standard storage devices, these ash memories suffer from various random errors. In order to address these reliability issues, various error correction codes (ECC) are employed. Bose-Chaudhuri Hocquenghem (BCH) code is the most common ECC used to address the errors in modern ash memories. Because of the limitation of the realization of the BCH codes for more extensive error correction, the modern ash memory devices use Low-density parity-check (LDPC) codes for error correction scheme. The realization of the LDPC decoders have greater complexity than BCH decoders, so these ECC decoders are implemented within the ash memory device. This thesis analyzes the limitation imposed by the state of the art implementation of BCH decoders and proposes a cascaded BCH code to address these limitations.
In order to support a variety of ash memory devices, there are three main challenges to be addressed for BCH decoders. First, the latency of the BCH decoders, in the case of no error scenario, should be less than 100us. Second, there should be flexibility in supporting different ECC block size; more precisely, the solution should be able to support 256, 512, 1024, and 2048 bytes of ECC block. Third, there should be flexibility in supporting different bit errors.
A recent development with Graphical Processing Units (GPUs) has attracted many researchers to use GPUs for non-graphical implementation. These GPUs are used in many consumer electronics as part of the system on chip (SOC) configuration. In this thesis we studied the limitation imposed by different implementations (VLSI, GPU, and CPU) of BCH decoders, and we propose a cascaded BCH code implemented using a hybrid approach to overcome the limitations of the BCH codes. By splitting the implementation across VLSI and GPUs, we have shown in this thesis that this method can provide flexibility over the block size and the bit error to be corrected
High-Speed Area-Efficient Hardware Architecture for the Efficient Detection of Faults in a Bit-Parallel Multiplier Utilizing the Polynomial Basis of GF(2m)
The utilization of finite field multipliers is pervasive in contemporary
digital systems, with hardware implementation for bit parallel operation often
necessitating millions of logic gates. However, various digital design issues,
whether natural or stemming from soft errors, can result in gate malfunction,
ultimately leading to erroneous multiplier outputs. Thus, to prevent
susceptibility to error, it is imperative to employ an effective finite field
multiplier implementation that boasts a robust fault detection capability. This
study proposes a novel fault detection scheme for a recent bit-parallel
polynomial basis multiplier over GF(2m), intended to achieve optimal fault
detection performance for finite field multipliers while simultaneously
maintaining a low-complexity implementation, a favored attribute in
resource-constrained applications like smart cards. The primary concept behind
the proposed approach is centered on the implementation of a BCH decoder that
utilizes re-encoding technique and FIBM algorithm in its first and second
sub-modules, respectively. This approach serves to address hardware complexity
concerns while also making use of Berlekamp-Rumsey-Solomon (BRS) algorithm and
Chien search method in the third sub-module of the decoder to effectively
locate errors with minimal delay. The results of our synthesis indicate that
our proposed error detection and correction architecture for a 45-bit
multiplier with 5-bit errors achieves a 37% and 49% reduction in critical path
delay compared to existing designs. Furthermore, the hardware complexity
associated with a 45-bit multiplicand that contains 5 errors is confined to a
mere 80%, which is significantly lower than the most exceptional BCH-based
fault recognition methodologies, including TMR, Hamming's single error
correction, and LDPC-based procedures within the realm of finite field
multiplication.Comment: 9 pages, 4 figures. arXiv admin note: substantial text overlap with
arXiv:2209.1338
Digital signal processing waveform aggregation and its experimental demonstration for next generation mobile fronthaul
L'abstract è presente nell'allegato / the abstract is in the attachmen
Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
Encoding quantum information into a set of harmonic oscillators is considered
a hardware efficient approach to mitigate noise for reliable quantum
information processing. Various codes have been proposed to encode a qubit into
an oscillator -- including cat codes, binomial codes and
Gottesman-Kitaev-Preskill (GKP) codes. These bosonic codes are among the first
to reach a break-even point for quantum error correction. Furthermore, GKP
states not only enable close-to-optimal quantum communication rates in bosonic
channels, but also allow for error correction of an oscillator into many
oscillators. This review focuses on the basic working mechanism, performance
characterization, and the many applications of GKP codes, with emphasis on
recent experimental progress in superconducting circuit architectures and
theoretical progress in multimode GKP qubit codes and
oscillators-to-oscillators (O2O) codes. We begin with a preliminary
continuous-variable formalism needed for bosonic codes. We then proceed to the
quantum engineering involved to physically realize GKP states. We take a deep
dive into GKP stabilization and preparation in superconducting architectures
and examine proposals for realizing GKP states in the optical domain (along
with a concise review of GKP realization in trapped-ion platforms). Finally, we
present multimode GKP qubits and GKP-O2O codes, examine code performance and
discuss applications of GKP codes in quantum information processing tasks such
as computing, communication, and sensing.Comment: 77+5 pages, 31 figures. Minor bugs fixed in v2. comments are welcome
Advanced DSP Techniques for High-Capacity and Energy-Efficient Optical Fiber Communications
The rapid proliferation of the Internet has been driving communication networks closer and closer to their limits, while available bandwidth is disappearing due to an ever-increasing network load. Over the past decade, optical fiber communication technology has increased per fiber data rate from 10 Tb/s to exceeding 10 Pb/s. The major explosion came after the maturity of coherent detection and advanced digital signal processing (DSP). DSP has played a critical role in accommodating channel impairments mitigation, enabling advanced modulation formats for spectral efficiency transmission and realizing flexible bandwidth. This book aims to explore novel, advanced DSP techniques to enable multi-Tb/s/channel optical transmission to address pressing bandwidth and power-efficiency demands. It provides state-of-the-art advances and future perspectives of DSP as well
Near-Instantaneously Adaptive HSDPA-Style OFDM Versus MC-CDMA Transceivers for WIFI, WIMAX, and Next-Generation Cellular Systems
Burts-by-burst (BbB) adaptive high-speed downlink packet access (HSDPA) style multicarrier systems are reviewed, identifying their most critical design aspects. These systems exhibit numerous attractive features, rendering them eminently eligible for employment in next-generation wireless systems. It is argued that BbB-adaptive or symbol-by-symbol adaptive orthogonal frequency division multiplex (OFDM) modems counteract the near instantaneous channel quality variations and hence attain an increased throughput or robustness in comparison to their fixed-mode counterparts. Although they act quite differently, various diversity techniques, such as Rake receivers and space-time block coding (STBC) are also capable of mitigating the channel quality variations in their effort to reduce the bit error ratio (BER), provided that the individual antenna elements experience independent fading. By contrast, in the presence of correlated fading imposed by shadowing or time-variant multiuser interference, the benefits of space-time coding erode and it is unrealistic to expect that a fixed-mode space-time coded system remains capable of maintaining a near-constant BER
Engineering evaluations and studies. Volume 3: Exhibit C
High rate multiplexes asymmetry and jitter, data-dependent amplitude variations, and transition density are discussed