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The generalized sidelobe canceller based on quaternion widely linear processing
1Department of Flight Vehicle Control, Aviation University, Changchun, Jilin 130022, China.
This study introduces a novel quaternion semi-widely linear (QSWL) beamformer for enhanced signal processing. The proposed QSWL generalized sidelobe canceller effectively cancels interference while preserving desired signals.
Area of Science:
- Signal Processing
- Electromagnetic Theory
- Array Signal Processing
Background:
- Widely linear processing offers advantages over standard linear processing in certain signal scenarios.
- Quaternion algebra provides a powerful framework for handling multi-component signals, such as electromagnetic vector sensor data.
Purpose of the Study:
- To develop a quaternion beamformer based on widely linear processing for improved signal extraction.
- To propose and analyze a Quaternion Semi-Widely Linear (QSWL) Generalized Sidelobe Canceller (GSC).
Main Methods:
- Development of a quaternion model for a linear symmetric array with two-component electromagnetic vector sensors.
- Formulation of the QSWL beamformer using simultaneous operations on quaternion vectors and their involutions.
- Implementation of the QSWL beamformer as a two-stage QSWL GSC with derived weight vector expressions.
Main Results:
- The QSWL GSC effectively cancels interference without distorting the desired signal.
- The proposed method demonstrates improved robustness to Direction of Arrival (DOA) mismatch.
- The main beam of the QSWL GSC can consistently track the desired signal's direction.
Conclusions:
- The QSWL beamformer offers a significant advancement in signal processing for multi-component data.
- The QSWL GSC provides a robust and effective solution for interference suppression in array signal processing.
- Simulations validate the superior performance of the proposed QSWL GSC.
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