Published in IET Radar, Sonar and Navigation
Received on 19th May 2011
Revised on 20th August 2011
doi: 10.1049/iet-rsn.2011.0175
ISSN 1751-8784
Oblique projection polarisation filtering for
interference suppression in high-frequency
surface wave radar
X.-P. Mao A.-J. Liu H.-J. Hou H. Hong R. Guo W.-B. Deng
Harbin Institute of Engineering, 150001, People’s Republic of China
E-mail: mxp999@hotmail.com
Abstract: Polarisation filtering is a valid approach for interference suppression in high-frequency surface wave radar (HFSWR)
and other systems. Based on the fundamental principle of the oblique projection and polarised filtering, an oblique projection
polarisation filter (OPPF), which can be constructed from the polarisation subspaces of the target signal and those of the
interference or directly from experimental data, is proposed in this study. Generalised methods for constructing the OPPF
operators (theoretical OPPF and improved OPPF) are provided and the impact on the performance caused by the estimation
errors is also discussed. Numerical results from simulation and experimental data demonstrate that the proposed filter is an
effective means of interference cancellation. It is proved that OPPF is an extension of the conventional polarised filter,
whereas the improved OPPF is more suitable for the situation where the interference is unknown.
1 Introduction
As a s upplement of the signal processing technique in time,
frequency and spatial domain, polarisation signal processing
has been widely applied in the fields of signal extraction
and interference suppression [1–5], whereas polarisation
filtering is an important branch of it for interference
suppression. Based on the orthogonal projection, the
optimal performance of a conventional polarisation filter
can only be achieved when the polarised state of the target
signal is orthogonal to that of the interference. However,
this condition cannot always be met and distortion of the
phase and amplitude of the target signal will be introduced
because of non-orthogonality. The amplitude distortion that
depends on the spherical distance between the target signal
and the interference on the Poincare
´
sphere, is commonly
named polarisation loss.
To separate the non-orthogonal polarisation signals and
suppress the interferences more efficiently, Poelman and
Guy [6, 7] proposed a linear polarisation-vector transformer
(LPVT) to convert the non-orthogonal polarisation signals
to orthogonal signals. Similarly, in [8] an oblique
polarisation filter is proposed to separate two completely
polarised seismic waves by phase-shift, rotation and
amplification operations on them. These researchers have
made positive contributions in view of the non-orthogonal
polarisation signal processing technique. However, few
methods involve avoiding the distortion of the desired
signal’s phase and amplitude introduced by polarisation
filtering.
In a coherent system, a conventional polarisation filter must
be time-varying to adapt to the time-varying property of the
polarisation parameters of the interference, and a time-
varying distortion of the amplitude and phase of the target
signal is introduced. Owing to the time-varying
characteristic of the polarisation parameters, the correlation
of the target signals will be lost. As a result, the target
signals may be strong enough after interference suppression,
but disappear after correlation accumulation. This
disadvantage limits the application of the polarisation filter
technique.
To solve this problem, a null phase-shift polarisation
(NPSP) filter is proposed in [2]. NPSP filter consists of a
LPVT, a single notch polarisation (SNP) filter and an
amplitude/phase compensation device. The amplitude/phase
compensation device performs the compensation for the
distortion of the amplitude and phase caused by the time-
varying polarisation filtering.
Without exception, all methods mentioned above convert
the non-orthogonal polarisation signals to orthogonal
signals so as to mitigate the interference. Obviously, it is
more convenient and efficient to process the non-orthogonal
polarised signal directly without any polarisation
transformation. As an extension of the orthogonal
projection and a powerful tool for signal processing, the
oblique projection operator has many advantages to process
the non-orthogonal signal. Therefore, in this paper, the
oblique projection operator is introduced to the polarisation
fields and a more effective polarisation filter, called oblique
projection polarisation filter (OPPF) [9, 10], is proposed by
combining the oblique projection [11–16] and the
conventional polarisation filtering technique. Theoretical
analysis and simulation results demonstrate that the
proposed OPPFs, including the theoretical OPPF and the
IET Radar Sonar Navig., pp. 1–10 1
doi: 10.1049/iet-rsn.2011.0175
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