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The quadratic phase Fourier transform has gained much popularity in recent years because of its applications in image and signal processing. However, the QPFT is inadequate for localizing the quadratic phase spectrum which is required in…

Signal Processing · Electrical Eng. & Systems 2022-03-01 Mohd Younus Bhat , Aamir Hamid Dar , Didar Urynbassarova , Altyn Urynbassarova

The performance of a Turbo code with short block length depends critically on the interleaver design. There are two major criteria in the design of an interleaver: the distance spectrum of the code and the correlation between the…

Combinatorics · Mathematics 2007-07-16 H. R. Sadjadpour , N. J. A. Sloane , M. Salehi , G. Nebe

We propose a Partial Lorentz Transformation (PLT) test for detecting entanglement in a two qubit system. One can expand the density matrix of a two qubit system in terms of a tensor product of $(\mathbb{I}, \vec{\sigma})$. The matrix $A$ of…

Quantum Physics · Physics 2017-12-20 Joseph Samuel , Kumar Shivam , Supurna Sinha

Improvements to dual-comb interferometers will benefit precision spectroscopy and sensing, distance metrology, tomography, telecommunications etc. A specific requirement of such interferometers is to enforce mutual coherence between the two…

Optics · Physics 2018-08-10 Zaijun Chen , Ming Yan , Theodor W. Hänsch , Nathalie Picqué

We consider the number of quantum queries required to determine the coefficients of a degree-d polynomial over GF(q). A lower bound shown independently by Kane and Kutin and by Meyer and Pommersheim shows that d/2+1/2 quantum queries are…

Quantum Physics · Physics 2016-09-08 Andrew M. Childs , Wim van Dam , Shih-Han Hung , Igor E. Shparlinski

A set of linearly constrained permutation matrices are proposed for constructing a class of permutation codes. Making use of linear constraints imposed on the permutation matrices, we can formulate a minimum Euclidian distance decoding…

Information Theory · Computer Science 2015-03-17 Tadashi Wadayama , Manabu Hagiwara

We set new speed records for multiplying long polynomials over finite fields of characteristic two. Our multiplication algorithm is based on an additive FFT (Fast Fourier Transform) by Lin, Chung, and Huang in 2014 comparing to previously…

Symbolic Computation · Computer Science 2018-01-08 Ming-Shing Chen , Chen-Mou Cheng , Po-Chun Kuo , Wen-Ding Li , Bo-Yin Yang

Communication in the presence of bounded timing asynchronism which is known to the receiver but cannot be easily compensated is studied. Examples of such situations include point-to-point communication over inter-symbol interference (ISI)…

Information Theory · Computer Science 2014-11-18 Ping-Chung Wang , Yu-Chih Huang , Krishna R. Narayanan

Recent results have shown that the performance of bit-interleaved coded modulation (BICM) using convolutional codes in nonfading channels can be significantly improved when the interleaver takes a trivial form (BICM-T), i.e., when it does…

Information Theory · Computer Science 2013-03-26 Alex Alvarado , Leszek Szczecinski , Erik Agrell

This work applies earlier results on Quasi-Cyclic (QC) LDPC codes to the codes specified in six separate IEEE 802 standards, specifying wireless communications from 54 MHz to 60 GHz. First, we examine the weight matrices specified to upper…

Information Theory · Computer Science 2016-02-10 Brian K. Butler

High-quality LLM request scheduling requires achieving two key objectives: whether the routed instance has KV$ to accelerate the request execution and whether the workload is balanced across instances. Achieving both objectives is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-26 Dingyan Zhang , Jinbo Han , Kaixi Zhang , Xingda Wei , Sijie Shen , Chenguang Fang , Wenyuan Yu , Jingren Zhou , Rong Chen

Large-scale MIMO systems can yield a substantial improvement in spectral efficiency for future communication systems. Due to the finer spatial resolution achieved by a huge number of antennas at the base stations, these systems have shown…

Information Theory · Computer Science 2014-10-15 Abla Kammoun , Axel Müller , Emil Björnson , Mérouane Debbah

Radio resource management in cellular networks is typically based on device measurements reported to the serving base station. Frequent measuring of signal quality on available frequencies would allow for highly reliable networks and…

Applications · Statistics 2019-03-04 Caroline Svahn , Oleg Sysoev , Mirsad Čirkić , Fredrik Gunnarsson , Joel Berglund

Permutation polynomials over a ring of modulo $2^w$ are compatible with digital computers and digital signal processors, and so they are in particular expected to be useful for cryptography and pseudo random number generator. In general,…

Information Theory · Computer Science 2016-07-28 Atsushi Iwasaki , Ken Umeno

Reliable link adaptation is critical for efficient wireless communications in dynamic fading environments. However, reinforcement learning (RL) solutions often suffer from unstable convergence due to poorly conditioned policy gradients,…

Large Language Models (LLMs) have ushered in a new wave of artificial intelligence advancements impacting every scientific field and discipline. We live in a world where most of the data around us, e.g., text, audio, and music, has a…

Signal Processing · Electrical Eng. & Systems 2025-02-11 Prateek Verma

The quaternion Fourier transform (QFT), a generalization of the classical 2D Fourier transform, plays an increasingly active role in particular signal and colour image processing. There tends to be an inordinate degree of interest placed on…

Classical Analysis and ODEs · Mathematics 2019-03-04 Dong Cheng , Kit Ian Kou

We initiate the study of quantum Locally Testable Codes (qLTCs). We provide a definition together with a simplification, denoted sLTCs, for the special case of stabilizer codes, together with some basic results using those definitions. The…

Quantum Physics · Physics 2013-10-22 Dorit Aharonov , Lior Eldar

In this paper we consider space-time codes where the code-words are restricted to either real or quaternion matrices. We prove two separate diversity-multiplexing gain trade-off (DMT) upper bounds for such codes and provide a criterion for…

Information Theory · Computer Science 2018-01-10 Laura Luzzi , Roope Vehkalahti

Layer-wise PTQ is a promising technique for compressing large language models (LLMs), due to its simplicity and effectiveness without requiring retraining. However, recent progress in this area is saturating, underscoring the need to…

Machine Learning · Computer Science 2026-01-14 Yamato Arai , Yuma Ichikawa