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首页基于Gossip算法的多发射源分布式定位策略
本文主要探讨了基于Gossip算法的多发射源定位问题,针对无线通信中常见的干扰源定位挑战,提出了一个分布式处理框架。传统的信号强度测量方法在处理多个干扰源定位时,通常需要集中式的数据处理,这可能会增加系统的复杂性、能源消耗以及对单点故障的敏感性。 Gossip算法,作为一种分布式计算技术,通过节点之间的随机通信来实现信息交换,无需中心节点协调。作者设计的AGOSSIP算法将这种算法应用到多发射源定位中,旨在实现在去中心化环境中进行有效的位置估计。该算法的关键在于如何设计合理的通信策略,使得节点能够在有限的信息交换次数内收敛到准确的位置估计。 文章的核心贡献在于确定了Gossip配置,即如何设置节点之间的通信频率、邻居选择策略等,以最小化收敛时间,从而优化定位精度与系统性能的平衡。同时,通过对比AGOSSIP算法与传统的集中式定位算法,研究者分析了不同方法在定位准确性、容错能力、能耗和计算复杂度等方面的性能差异。 对于无线传感器网络(Sensor Networks)和认知无线电(Cognitive Radio)领域,这种基于Gossip的多发射源定位方法具有重要意义,因为它提供了对大规模、动态且分布式环境中的位置估计的新解决方案。它不仅能够减少硬件成本和能源消耗,还可能提高系统的鲁棒性和自适应性。 本文的研究为解决多发射源定位问题提供了一个创新的分布式框架,有助于理解和优化无线通信系统中复杂的干扰管理,并为未来无线网络设计提供了有价值的理论基础和实践指导。
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A GOSSIP-BASED DISTRIBUTED PROCESSING ALGORITHM FOR MULTIPLE
TRANSMITTER LOCALIZATION
J. E. Almodovar and J. K. Nelson
Dept. of Electrical and Computer Engineering
George Mason University
Fairfax, VA 22030, USA
Email: {jalmodo1,jnelson}@gmu.edu
ABSTRACT
We consider the problem of estimating the locations of mul-
tiple interfering transmitters based on measurements of re-
ceived signal strength. Specifically, we explore the challenge
of performing this estimation task in a distributed fashion.
We propose a gossip-based distributed algorithm for multi-
ple transmitter localization and determine the gossip config-
uration that minimizes bounds on convergence time. A per-
formance comparison between the proposed distributed algo-
rithm and competing centralized algorithms is presented. Re-
sults enable the study of trade-offs between localization ac-
curacy and system parameters such as fault tolerance, energy
consumption, and computational complexity.
Index Terms— localization, gossip, cognitive radio
1. BACKGROUND AND MOTIVATION
In this paper, we consider the problem of localizing multi-
ple interfering transmitters using distributed uncoordinated
measurements of received signal strength (RSS). In particu-
lar, we propose a technique, termed the multiple transmitter
weighted average receiver location (MTWARL) algorithm,
for performing this task via distributed processing. This
method is applicable to cognitive radio networks (CRNs)
and wireless sensor networks (WSNs), where uncooperative
sources are to be localized using measurements taken by a
set of sensor nodes. In CRNs, for example, nodes perform
spectrum sensing to find opportunities to communicate with-
out causing harmful interference to primary (licensed) users.
Recent research and field tests have revealed that knowl-
edge of the primary users’ location and interference tolerance
can dramatically improve spectrum sensing performance and
therefore reduce interference to the primary system [1, 2].
The work in this paper extends prior work in which a cen-
tralized maximum likelihood (ML) based approach has been
proposed for multiple transmitter localization (MTL) [3, 4].
ML approaches to this problem require optimization over a
non-convex cost function, a procedure that tends to be compu-
tationally intensive and for which approximate solutions are
prone to convergence to local maxima. We consider a lin-
ear estimation approach that avoids the computational chal-
lenges of searching over a non-convex surface. In addition,
we explore the problem of distributing localization compu-
tations over the sensor nodes, a feature that is desirable in
applications such as CRNs and WSNs where resources could
be limited. To address this facet of the problem, we study the
application of distributed closed-form linear estimators, com-
puted via gossip algorithms [5, 6], to develop an iterative dis-
tributed localization algorithm. Gossip algorithms do not re-
quire complicated routing and support randomized transmis-
sion schemes, making them desirable over other more com-
plex algorithms that may exhibit faster convergence. While
most existing work in distributed localization has focused on
localizing single sources [7, 8], we consider distributed local-
ization in the presence of multiple interfering transmitters.
2. SYSTEM MODEL
Consider M primary transmitters and N receiver nodes
(also referred to as sensors) located within a square re-
gion of arbitrary area. We assume that the locations of
the primary transmitters are unknown; they are denoted
by θ = [θ
1
θ
2
. . . θ
M
]
T
, where θ
i
denotes the two-
dimensional location of the ith transmitter. The locations of
the N sensors are assumed to be known but arbitrary and are
denoted by φ = [φ
1
φ
2
. . . φ
N
]
T
.
A log-distance path loss model is assumed such that the
average received power at the jth receiver from the ith trans-
mitter is given by
P
ij
= P
T
i
ρ
d
0
d
ij
γ
, (1)
where P
T
i
is the power transmitted by the ith transmitter, ρ
is a constant set by the frequency of operation and antenna
properties, d
0
is a reference close-in distance from the ith pri-
mary transmitter, d
ij
is the two-dimensional Euclidean dis-
tance from the ith transmitter to the jth receiver, and γ is the
path loss exponent, which represents the rate at which the at-
2012 IEEE Statistical Signal Processing Workshop (SSP)
978-1-4673-0183-1/12/$31.00 ©2012 IEEE 169
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