ADMM Decoding of LDPC and Multipermutation Codes: From Geometries to Algorithms For LDPC codes, we improve LP decoding error performance by penalizing pseudocodewords, which are the non-integer vertices of the LP relaxation to which ... X Liu - Dissertations & Theses - Gradworks 被引量: 3发表...
In order to understand the performance of these algorithms, we argue for the characterization of codes in terms of a so-called fundamental cone in Euclidean space. This cone depends upon a given parity-check matrix of a code, rather than on the code itself. We give a number of properties ...
3.Template-based code generation method for numeric control punch数控冲床加工中基于模板的代码实现方法 4.Protection Algorithms and Implementation of MSIL Code and Native Code;对MSIL代码和本地代码的保护算法及实现 5.Program and Difference Interpolation of ISO Code of Ellipse椭圆ISO代码译成差分插补代码及其...
Algorithm 3 Pseudocode for NotMatchedLocalization Algorithm Input: MinQR: Information structure of the QR code closest to the frame center Structure of MinQR [(𝑄𝑅𝑟𝑥QRrx, 𝑄𝑅𝑟𝑦QRry): x and y coordinates of the QR code in world coordinates, 𝑄𝑅𝐿𝑟QRLr: The length...
Note that no effort has been made to `optimize' most of the algorithms used in the programs below. The algorithms work well, but by no means should be used as a basis for an implementation. All these programs are free to use for academic and personal purposes only. Use them at your ow...
We provide an example of using the framework to generate the first shift Gray codes for weak orders in constant amortized time per string, where consecutive strings differ by a shift or a symbol change. Recently, Sawada and Wong [17] and also Jacques and Wong [9] have proposed algorithms ...
The error floor phenomenon observed with LDPC codes and their graph-based, iterative, message-passing (MP) decoders is commonly attributed to the existence of error-prone substructures - variously referred to as near-codewords, trapping sets, absorbing sets, or pseudocodewords - in a Tanner graph...
In this subsection, the iterative decoding algorithm is showed by using the step described in Section 2.2 (also see pseudocode in Algorithms 1 and 2). Algorithm 1: Short-and-Wide Iterative Fast Transform, SWIFT, algorithm. (1) Input: observation vectors y, length of original signal n, ...
weightwinC. If not, we reject it (it can be obtained by another residual code), if yes we say that this code passes the parent test. Finally, we check for equivalence the codes obtained from the same residual code that have passed the parent test. A pseudocode is presented in Algorithm...
We defer the proof of Lemma2until the Methods. We now give a pseudocode description of a modified sweep decoder that works for 3D toric codes defined on lattices with boundaries. We note that all addition below is carried out modulo 2, as we view errors and syndromes as\({\mathbb {F}}...