A Multi-domain Collaborative Filter Based on
Polarization Sensitive Frequency Diverse Array
Wang Yi-ming
1,2
, Mao Xing-peng
1
, Zhang Jie
2
, Hong Hong
1
1
School of Electronics and Information Engineering, Harbin Institute of Technology,
Harbin, Heilongjiang Province, P. R. China
2
The First Institute of Oceanography, SOA, Qing Dao, Shandong Province, P. R. China
mxp@hit.edu.cn
Abstract—Traditional approaches for interference suppression
will enjoy the added benefits when more domains are involved in
antenna array. However, the information from range domain
and its collaboration with other domains are rarely explored,
and their potentials in improvement of radar performance are
under-estimated. In this paper, we introduce the concept of
polarization sensitive frequency diverse array (PSFDA), which
combined frequency diverse array (FDA) and polarization
sensitive array (PSA). This generates a range-angle-polarization
resolution, which provides a possibility of simultaneous filtering
in direction, polarization and range. In exploration of those
inherent informations, we present a series of multi-domain
collaborative oblique projection filters by PSFDA. The
representative filters of oblique projection angle-range-
polarization filter (OPARPF), oblique projection angle-range
filter (OPARF) and oblique projection angle filter (OPAF) are
discussed. Theoretical analysis and simulation results
demonstrate that in addition to direction filtering, the
performances of the filters improve with range and polarization
domain incorporated. In addition, the generalized form of filter
discussed provides a platform for future research and
development which can refer to the approach presented in this
paper.
I. INTRODUCTION
To fully utilize the inherent information and improve the
performance of an array radar in harsh environments, some
attempts have been made to suppress the interferences by
spatial [1] or polarization signal processing technique [2,3].
Further, multi-domain signal processing [4,5], which intend
to include more domains such as spatial, time, polarization,
frequency and etc., produced improved performance and
advanced toward a promising future. However, the potentials
of range domain have not been sufficiently explored,
especially in the field of collaborative filtering. This implies a
great deficiency in the development of the multi-domain
filtering technique.
Recently, frequency diverse array (FDA) [6-8], which
introduced a relative small frequency offset across sensing
elements, turned the conventional phased uniformed linear
array (ULA) into a frequency diverse and therefore a range
dependent beamformer. It should be noticed that the
waveforms radiated from each emitter of FDA are coherent,
rather than the orthogonal waveforms in multi-input and
multi-output (MIMO) radar. However, angle-range coupling
in FDA will induce a degradation of the filter performance,
even though it is still better than a conventional ULA.
To further enhance the interference mitigation capability
and bring in more diversity from sensors to information, this
paper presents the polarization sensitive frequency diverse
array (PSFDA) concept with antenna elements replaced by
polarization sensitive elements of the polarization sensitive
array (PSA). In PSFDA, the angle-range dependent beam-
forming featured in FDA [9] and the polarization dependent
processing provide a potential to suppress clutter or
interference which is not accessible for conventional phased-
array systems.
Aiming to promote the interference rejection in joint
domains, this paper proposes a series of multi-domain
collaborative filters based on oblique projection. Herein, the
range domain information, which extended the spatial
dimension rather than the conventional implication of angle
domain only, is exercised and its collaborations with
polarization and/or angle domains are explored.
The remaining sections of this paper are organized as
follows. In Section II, the elements of PSFDA array and the
received signal model are introduced. In Section III, the
representative oblique projection multi-domain collaborative
filters are presented, followed by theoretical analysis and
comparisons. In Section IV, numerical simulations of SINR
after different filtering are provided, the discussions based on
that are given. Finally, Section V concludes the present work
in this paper.
II. PSFDA
ARRAY AND RECEIVED SIGNAL MODEL
A. PSFDA array
As introduced in [6], the frequencies of wave signals
radiated from each FDA antennas are incremented by a small
amount from antenna element to element, i.e., the frequency
radiated from each element in an M-element array with
uniform spacing d is
m
ffm fm
0
= + ( −1)Δ , = 1,2,...Μ (1)
This project is sponsored by the National Natural Science Foundation o
China (No.61171180), National Marine Technology Program for Public
Welfare (No.200905029) and Team Research Foundation for Fundamenta
Research Program in FIO, China (No.GY0213T03).
978-1-4799-2035-8/14/$31.00@2014 IEEE