As a step towards establishing homotopy-theoretic foundations for topological data analysis (TDA), we introduce and study homotopy interleavings between filtered spaces. These are homotopy-invariant analogues of interleavings, objects commonly used in TDA to articulate stability inference theorems. Intuitively, whereas strict interleaving spaces <inline-formula content-type="ma...

This study is designed to consider the two important yet often neglected factors, which are factory recommendation and bit features, in optimum bit selection. Image processing techniques have been used to consider the bit features. A mathematical equation, which is derived from a neural network model, is used for drill bit selection to obtain the bit’s maximum penetration rate that corresponds ...

The various goals and requirements of a system are realized in software as fragments of code that are typi cally interleaved in that they may be woven together in the same contiguous textual area of code The frag ments of code are often delocalized and overlap rather than being composed in a simple linear sequence In terleaving severely complicates software comprehen sion and maintenance To add...

In this paper, a novel anti-eavesdropping OFDM system through dynamic subcarrier coordinate interleaving is proposed by exploiting the reciprocal, location-dependent and time-varying nature of wireless channels. The transmitter performs coordinate interleaving at some of the OFDM subcarriers in an opportunistic manner, where the secret interleaving pattern is determined by the instantaneous cha...

application of quantum-dot is a promising technology for implementing digital systems at nano-scale.  quantum-dot cellular automata (qca) is a system with low power consumption and a potentially high density and regularity. also, qca supports the new devices with nanotechnology architecture. this technique works based on electron interactions inside quantum-dots leading to emergence of quantum ...

Abstract Applications such as public-key cryptography are critically reliant on the speed of modular multiplication for their performance. This paper introduces a new block-based variant Montgomery multiplication, Block Product Scanning (BPS) method, which is particularly efficient using 512-bit advanced vector instructions (AVX-512) modern Intel processor families. Our parallel-multiplication ...

Rewrite strategies are used to specify how mathematical exercises are solved in interactive learning environments, and to provide feedback to students solving such exercises. We have developed a generic strategy language with which we can specify rewrite strategies in many (mathematical) domains. Although our strategy language is quite powerful, it lacks an essential component for specifying st...

Product codes based on binary block codes are considered. The aim is to use simple block codes as component codes in the constructions. Then, by using interleaving, large codes can be obtained. The fundamental aim of the interleaving is to obtain codes with a structure that is suitable for iterative decoding. We present interleaving strategies for iterative (turbo) decoding of block codes. A si...

A novel iterative demodulation and decoding (ID) scheme is proposed for bit interleaved coded modulation (BICM) using co-ordinate interleaving (also known as signal space diversity (SSD)) and the rotation of a signal constellation in a fading channel. A soft-input soft-output demodulator is extended to incorporate SSD and iterative demodulation. It is shown that a well-considered choice of rota...