Optimum digital filter synthesis with arbitrary constraints and noise

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作者
Department of Engineering Physics, Tsinghua University, Beijing 100084, China [1 ]
机构
来源
Qinghua Daxue Xuebao | 2006年 / 9卷 / 1597-1600期
关键词
Ballistics - Impulse response - Optimization - Signal to noise ratio - Spectroscopy;
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摘要
The energy resolution of digital spectroscopy can be improved by finite impulse response (FIR) filters optimized for the presence of any kind of stationary noise. The designs were optimized using the constrained optimization technique with arbitrary time domains and frequency domain constraints (flat-top, baseline restorer, etc.). Synthesis results for a typical example were analyzed in both the time and frequency domains to investigate the maximum signal-to-noise ratio (SNR) for various constraints. The filter effectively removes baseline drift and ballistic deficit, while possibly achieving the maximum SNR. The results show that the method is suitable for high-speed, high-resolution digital spectroscopy, especially when the noise characteristics are unknown.
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