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We propose a family of First Hitting Diffusion Models (FHDM), deep generative models that generate data with a diffusion process that terminates at a random first hitting time. This yields an extension of the standard fixed-time diffusion…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Mao Ye , Lemeng Wu , Qiang Liu

In this work we bring out the existence of a novel kind of synchronization associated to the size of a complex system. A dichotomic random jump process associated to the dynamics of an externally driven stochastic system with $N$ coupled…

Statistical Mechanics · Physics 2021-12-22 María Laura Olivera-Atencio , Manuel Morillo , Jesús Casado-Pascual

Non-equilibrium phases of matter have attracted much attention in recent years, among which the Floquet phase is a hot point. In this work, based on the Periodic driving Non-Hermitian model, we reveal that the winding number calculated in…

Quantum Physics · Physics 2022-09-07 Gang-Feng Guo , Yan Wang , Xi-Xi Bao , Lei Tan

We present a general review of the bifurcation sequences of periodic orbits in general position of a family of resonant Hamiltonian normal forms with nearly equal unperturbed frequencies, invariant under $Z_2 \times Z_2$ symmetry. The rich…

Dynamical Systems · Mathematics 2016-06-28 Antonella Marchesiello , Giuseppe Pucacco

Recently, frequency transformation (FT) has been increasingly incorporated into deep learning models to significantly enhance state-of-the-art accuracy and efficiency in time series analysis. The advantages of FT, such as high efficiency…

Machine Learning · Computer Science 2025-06-16 Kun Yi , Qi Zhang , Wei Fan , Longbing Cao , Shoujin Wang , Guodong Long , Liang Hu , Hui He , Qingsong Wen , Hui Xiong

In this paper, we address the problem of spectrum estimation of multiple frequency-hopping (FH) signals in the presence of random missing observations. The signals are analyzed within the bilinear time-frequency (TF) representation…

Signal Processing · Electrical Eng. & Systems 2018-04-04 Shengheng Liu , Yimin Daniel Zhang , Tao Shan , Ran Tao

Achieving seamless global coverage is one of the ultimate goals of space-air-ground integrated network, as a part of which High Altitude Platform (HAP) network can provide wide-area coverage. However, deploying a large number of HAPs will…

Information Theory · Computer Science 2023-06-09 Zhiqing Wei , Lin Wang , Zhan Gao , Huici Wu , Ning Zhang , Kaifeng Han , Zhiyong Feng

We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged…

Quantum Gases · Physics 2015-08-20 Marin Bukov , Luca D'Alessio , Anatoli Polkovnikov

Handover (HO) management has attracted attention of research in the context of wireless cellular communication networks. One crucial problem of HO management is to deal with increasing HOs experienced by a mobile user. To address this…

Networking and Internet Architecture · Computer Science 2020-08-26 Kiichi Tokuyama , Tatsuaki Kimura , Naoto Miyoshi

The mixed radio frequency (RF)/free-space optical (FSO) relaying is a promising technology for coverage improvement, while there lacks unified expressions to describe its performance. In this paper, a unified performance analysis framework…

Information Theory · Computer Science 2015-07-22 Jiayi Zhang , Linglong Dai , Yu Zhang , Zhaocheng Wang

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-18 Huanan Li , Boris Shapiro , Tsampikos Kottos

Dual-function radar-communication (DFRC) based on frequency hopping (FH) MIMO radar (FH-MIMO DFRC) achieves symbol rate much higher than radar pulse repetition frequency. Such DFRC, however, is prone to eavesdropping due to the spatially…

Signal Processing · Electrical Eng. & Systems 2020-09-30 Kai Wu , J. Andrew Zhang , Xiaojing Huang , Y. Jay Guo

The construction of the random intersection graph model is based on a random family of sets. Such structures, which are derived from intersections of sets, appear in a natural manner in many applications. In this article we study the…

Combinatorics · Mathematics 2023-06-22 Katarzyna Rybarczyk

Hybrid precoding has been recognized as a promising technology to combat the path loss of millimeter wave signals in massive multiple-input multiple-output (MIMO) systems. However, due to the joint optimization of the digital and analog…

Signal Processing · Electrical Eng. & Systems 2019-04-12 Ling Zhang , Lin Gui , Kai Ying , Qibo Qin

Low correlation (finite length) sequences are used in communications and remote sensing. One seeks codebooks of sequences in which each sequence has low aperiodic autocorrelation at all nonzero shifts, and each pair of distinct sequences…

Information Theory · Computer Science 2021-12-30 Jonathan M. Castello , Daniel J. Katz , Jacob M. King , Alain Olavarrieta

Construction of signal sets with low correlation property is of interest to designers of CDMA systems. One of the preferred ways of constructing such sets is the interleaved construction which uses two sequences a and b with 2-level…

Information Theory · Computer Science 2007-07-13 N Rajesh Pillai , Yogesh Kumar

The head-related transfer function (HRTF) characterizes the frequency response of the sound traveling path between a specific location and the ear. When it comes to estimating HRTFs by neural network models, angle-specific models greatly…

Signal Processing · Electrical Eng. & Systems 2025-05-06 Keng-Wei Chang , Yih-Liang Shen , Tai-Shi Chi

A canonical Huffman sequence is characterized by a zero inner-product between itself and each of its shifted copies, except at their largest relative shifts: their aperiodic auto-correlation then becomes delta-like, a single central peak…

Combinatorics · Mathematics 2021-06-07 T. C. Petersen , D. M. Paganin , I. D. Svalbe

One family each of repetitive and non-repetitive spreading sequences for secure Direct Sequence Spread Spectrum communication are obtained from the logistic map. The repetitive sequences are perfectly balanced and are found to have…

Chaotic Dynamics · Physics 2007-05-23 Madhekar Suneel

We consider one-hop communication in wireless networks with random connections. In the random connection model, the channel powers between different nodes are drawn from a common distribution in an i.i.d. manner. An scheme achieving the…

Information Theory · Computer Science 2016-11-17 Seyed Pooya Shariatpanahi , Babak Hossein Khalaj , Kasra Alishahi , Hamed Shah-Mansouri