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Related papers: Frequency permutation arrays

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A frequency permutation array (FPA) of length $n=m\lambda$ and distance $d$ is a set of permutations on a multiset over $m$ symbols, where each symbol appears exactly $\lambda$ times and the distance between any two elements in the array is…

Information Theory · Computer Science 2009-01-15 Min-Zheng Shieh , Shi-Chun Tsai

An (n,d) permutation array (PA) is a set of permutations of length n with the property that the distance (under some metric) between any two permutations in the array is at least d. They became popular recently for communication over power…

Information Theory · Computer Science 2009-07-16 Torleiv Kløve , Te-Tsung Lin , Shi-Chun Tsai , Wen-Guey Tzeng

A permutation array(permutation code, PA) of length $n$ and distance $d$, denoted by $(n,d)$ PA, is a set of permutations $C$ from some fixed set of $n$ elements such that the Hamming distance between distinct members…

Information Theory · Computer Science 2008-01-28 Lizhen Yang , Kefei Chen , Luo Yuan

A permutation array(or code) of length $n$ and distance $d$, denoted by $(n,d)$ PA, is a set of permutations $C$ from some fixed set of $n$ elements such that the Hamming distance between distinct members $\mathbf{x},\mathbf{y}\in C$ is at…

Information Theory · Computer Science 2008-01-28 Lizhen Yang , Ling Dong , Kefei Chen

We investigate retransmission permutation arrays (RPAs) that are motivated by applications in overlapping channel transmissions. An RPA is an $n\times n$ array in which each row is a permutation of ${1, ..., n}$, and for $1\leq i\leq n$,…

Combinatorics · Mathematics 2015-05-05 Ian M. Wanless , Xiande Zhang

Phased arrays have enabled advances in communications, sensing, imaging, and wireless power transfer. In all these applications, large apertures enable higher power, higher data rates, higher resolution, and complex functionalities, but are…

Applied Physics · Physics 2023-02-08 Oren S. Mizrahi , Austin Fikes , Ali Hajimiri

The idea of frequency diverse array (FDA) has been invigorated in the recent years by supposing to have the ability of stopping the electromagnetic wave propagation and producing secretive direct connections between distant points. However,…

Signal Processing · Electrical Eng. & Systems 2022-01-12 Mahdi Fartookzadeh

Frequency diverse arrays (FDA) have attracted sustained interest as a promising architecture for introducing range-dependent responses into array systems. Unlike conventional phased arrays (PA), whose transmit behavior is primarily…

Signal Processing · Electrical Eng. & Systems 2026-05-05 Bang Huang , Sajid Ahmed , Wenkai Jia , Mohamed-Slim Alouini , Wen-QinWang

Application of range-angle focusing frequency diverse array (FDA) for secure wireless communication has been proposed in recent years. However, it can be proven that the FDAs are not suitable for secure wireless communication and the same…

Signal Processing · Electrical Eng. & Systems 2020-04-21 Mahdi Fartookzadeh

In the phased-array radar (PAR) signals from each antenna are transmitted at the same carrier frequency, which yields narrowly focused only angle dependent beampattern. In contrast, in the frequency-diverse-array (FDA) radar signals from…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Muhammad Zubair , Sajid Ahmed , Mohamed-Slim Alouini

A permutation array $A$ is a set of permutations on a finite set $\Omega$, say of size $n$. Given distinct permutations $\pi, \sigma\in \Omega$, we let $hd(\pi, \sigma) = |\{ x\in \Omega: \pi(x) \ne \sigma(x) \}|$, called the Hamming…

Combinatorics · Mathematics 2018-09-12 Sergey Bereg , Zevi Miller , Luis Gerardo Mojica , Linda Morales , I. H. Sudborough

In the recent papers [1-4] including above paper time modulated frequency diverse arrays (FDAs) have been presented to obtain time invariant spatial patterns. The presented FDAs in [1-3] have the feature of time-invariant spatial focusing…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Mahdi Fartookzadeh

Constant composition codes have been proposed as suitable coding schemes to solve the narrow band and impulse noise problems associated with powerline communication. In particular, a certain class of constant composition codes called…

Combinatorics · Mathematics 2014-04-04 Neil I. Gillespie , Cheryl E. Praeger

A frequency-diverse array (FDA) is an alternative array architecture in which each antenna is preceded by a mixer instead of a phase shifter. The mixers introduce a frequency offset between signals transmitted by each antenna, resulting in…

Signal Processing · Electrical Eng. & Systems 2025-11-19 Marcin Wachowiak , André Bourdoux , Sofie Pollin

Let M(n, d) be the maximum size of a permutation array on n symbols with pairwise Hamming distance at least d. We use various combinatorial, algebraic, and computational methods to improve lower bounds for M(n, d). We compute the Hamming…

Discrete Mathematics · Computer Science 2016-10-03 Sergey Bereg , Avi Levy , I. Hal Sudborough

Let $M(n,d)$ be the maximum size of a permutation array on $n$ symbols with pairwise Hamming distance at least $d$. Some permutation arrays can be constructed using blocks of certain type [2] called product blocks in this paper. We study…

Information Theory · Computer Science 2018-05-17 Sergey Bereg

In this paper, we propose a new type of array antenna, termed the Random Frequency Diverse Array (RFDA), for an uncoupled indication of target direction and range with low system complexity. In RFDA, each array element has a narrow…

Information Theory · Computer Science 2017-04-05 Yimin Liu , Hang Ruan , Lei Wang , Arye Nehorai

Frequency diverse array (FDA) is a promising antenna technology to achieve physical layer security by varying the frequency of each antenna at the transmitter. However, when the channels of the legitimate user and eavesdropper are highly…

Signal Processing · Electrical Eng. & Systems 2024-08-01 Zihao Cheng , Jiangbo Si , Zan Li , Pengpeng Liu , Yangchao Huang , Naofal Al-Dhahir

Current literature show that frequency diverse arrays (FDAs) are able of producing range-angle-dependent and time-variant transmit beampatterns, but the resulting time and range dependencies and their characteristics are still not well…

Signal Processing · Electrical Eng. & Systems 2022-12-22 Wenkai Jia , Andreas Jakobsson , Wen-Qin Wang

In the recent years constructing time-invariant spatial-focusing beampatterns by using frequency diverse arrays (FDAs) is conveyed in several papers. Further than time-invariant spatial-focusing beampatterns, the unfeasibility of…

Classical Physics · Physics 2024-11-05 Mahdi Fartookzadeh
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