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In large storage systems, erasure codes is a primary technique to provide high reliability with low monetary cost. Among various erasure codes, a major category called XORbased codes uses purely XOR operations to generate redundant data and offer low computational complexity. These codes are conventionally implemented via matrix based method or several specialized non-matrix based methods. However,...
Vandermonde and Cauchy matrices are commonly used in the constructions of maximum distance separable (MDS) codes. However, when additional design constraints are imposed on the code construction in addition to the MDS requirement, a Vandermonde or Cauchy matrix may not always suffice. We discuss some related coding problems of that nature that arise in different practical settings. We present a useful...
In this paper, a cooperative satellite system consisting of two satellites is considered. After building the channel model, the channel capacity is analysed. Since the propagation time of the signal via different satellites is not equal, a scheme to handle the propagation time difference is proposed. Considering the various propagation time difference of different users, the scheme takes advantage...
The compact arithmetic units in stochastic computing can potentially lower the implementation cost with respect to silicon area and power consumption. In addition, stochastic computing provides inherent tolerance of transient errors at the cost of a less efficient signal encoding. In this paper, a novel FIR filter design using the stochastic approach based on multiplexers are proposed. The required...
In this paper, we propose a novel network coded non-binary low-density generator matrix (LDGM) code structure for a multi-access relay system, where multiple sources transmit lattice signals to a destination with the help of a relay. Specifically, we first develop a network coded non-binary LDGM code structure by jointly considering lattice-signal transmissions at the sources and the relay. Then we...
This paper proposes an adaptive critic design (ACD) based control method of a generator in a single machine infinite bus (SMIB) power system, by using a biologically-inspired artificial neural network (BIANN). A heuristic dynamic programming (HDP) based optimal controller applying three BIANNs is designed for the control of the turbo generator in the SMIB system. By developing a numerical derivative...
As the rapid growth of data, many storage systems have used erasure codes instead of replication to reduce the storage cost under the same level of reliability. Maximum-Distance- Separable (MDS) codes have been the most widely adopted, due to their optimal storage efficiency. It is well understood that the application of codes in storage systems, where the data is less frequently accessed. For the...
This paper shows a novel concept of the Reed Solomon (RS) codec IP generator for produce ten kinds of RS codec including RS(28,24), RS(32,28), RS(36,22), RS(72,64), RS(182,172), RS(204,188), RS(207,187), RS(208,192) [1], RS(255,223) [2] and RS(255,239) for targeting various communication standards and systems which use Reed Solomon (RS) codes. The RS codec IP generator will perform the hardware design...
This paper presents the comparison of main properties of two recently developed methods for precise time-to-digital conversion based on time coding respectively in independent coding lines and with the use of multi-edge pattern signal. An essential advantage of these methods consists in capability to overcome the technological limitation of conversion resolution of methods commonly used so far. Both...
Recently, a new type of product-like codes, known as half-product codes, have been studied for OTN applications. Motivated by these codes, new classes of symmetry-invariant subproduct codes are proposed and investigated under iterative hard-decision decoding. A subset of the new class of quarter product codes has lower error floors than comparable half-product codes in terms of length, rate and performance.
In this paper, we study a construction of binary switch codes. A switch code is a code such that a multi-set request of information symbols can be simultaneously recovered from disjoint sets of codeword symbols. Our construction is optimal in the sense that it has the smallest codeword length given its average encoding degree, which is logarithmic in the code dimension. Moreover, the number of queries...
Consider the problem of reliable multicast over a network in the presence of adversarial errors. In contrast to traditional network error correction codes designed for a given network capacity and a given number of errors, we study an arguably more realistic setting that prior knowledge on the network and adversary parameters is not available. For this setting we propose efficient and throughput-optimal...
An [n, k] linear code C that is subject to locality constraints imposed by a parity check matrix H0 is said to be a maximally recoverable (MR) code if it can recover from any erasure pattern that some k-dimensional subcode of the null space of H0 can recover from. The focus in this paper is on MR codes constrained to have all-symbol locality r. Given that it is challenging to construct MR codes having...
Erasure codes are widely used in modern distributed storage systems to prevent data loss and server failures. Regenerating codes are a class of erasure codes that trades storage efficiency and computation for repair bandwidth reduction. However, their non-unified coding parameters and huge computation overhead prohibit their applications. Hence, we first propose a family of Functional Regenerating...
This paper presents a hybrid multimode Bose Chaudhuri Hocquenghem (BCH) encoder for reducing the input length of Syndrome calculation (SC) based on re-encoding approach. In previous re-encoding approaches, a conventional BCH encoder with long generator polynomials is used as a remainder operator to reduce the input length of SC. However, the input length is still large since long polynomial is used...
Automatic testing, although useful, is still quite ineffective against faults that do not cause crashes or uncaught exceptions. In the majority of the cases automatic tests do not include oracles, and only in some cases they incorporate assertions that encode the observed behavior instead of the intended behavior, that is if the application under test produces a wrong result, the synthesized assertions...
This paper proposes a new segmentation method based on Voronoi diagrams in order to develop efficient region-oriented coding for color still images. The method disposes generators according to local activity of a color image, and modifies their positions so that boundaries between Voronoi regions can run parallel to the principal contours in the image. Since a Voronoi diagram is uniquely determined...
A variable-length lossy compression algorithms for a stationary memory less source with a continuous alphabet are introduced with a rate-distortion pair close to the rate-distortion function.
Current RFID systems are not utterly reliable as they may fail to read all the tags present in their RF field of view, particularly when dealing with bulk tag reading in messy situations. To enable reliable tag inventories, we put forward the concept of RFID tag grouping, i.e., logically coupling tags thus forming a consistent group. Tag grouping allows to identify missing tags by reading only a subset...
Electrical stimulation by means of a medical implant is used as a means of restoring the lost functionality of different physiological organs. An active implant which works on a battery or a passive implant which works on power wirelessly transferred to it, could be used for this purpose. The future developments and applications will be in passive implants because of their smaller size and greater...
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