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Published on: January 28, 2019
Analysis of worst-case phase quantization sidelobes in focused beamforming
1Vingmed Sound AS, Lysaker.
Summary
Phase quantization errors in phased-array beamformers create discrete sidelobes. This study analyzes periodic errors in focused beamformers, estimating the worst-case sidelobe level based on focal depth.
Area of Science:
- Electrical Engineering
- Signal Processing
- Array Antennas
Background:
- Phased-array beamformers are crucial for directing radio frequency energy.
- Phase quantization errors can degrade beamformer performance, specifically increasing sidelobe levels.
- Understanding these errors is vital for designing accurate and efficient beamforming systems.
Purpose of the Study:
- To analyze the impact of periodic phase quantization errors on sidelobe levels in focused phased-array beamformers.
- To derive an estimate for the worst-case discrete sidelobe level as a function of focal depth.
- To provide theoretical insights and simulation-based verification of these effects.
Main Methods:
- Review of theories for random and periodic phase errors.
- Mathematical analysis of periodic phase errors in focused beamformer configurations.
- Development of an estimation formula for worst-case discrete sidelobe levels.
- Validation through numerical simulations.
Main Results:
- Periodic phase errors in focused arrays lead to discrete sidelobes.
- A derived estimate quantifies the worst-case discrete sidelobe level relative to focal depth.
- Simulations confirm the theoretical predictions regarding sidelobe behavior.
Conclusions:
- Periodic phase errors significantly influence sidelobe levels in focused phased-array beamformers.
- The derived estimate provides a valuable tool for predicting and mitigating sidelobe performance degradation.
- This research contributes to the design of more robust and precise phased-array systems.
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