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次最最优二阶状态空间数字滤波器的误差谱成形

Error Spectrum Shaping in Suboptimal Second--Order State-space Digital Filter
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摘要 导出单位噪声增益的计算公式,用统计和最优化方法表明9种误差谱成形结构的降噪性能,给出5条等降噪性能曲线。对窄带滤波,新结构可降低噪声10—30dB,降噪性能对滤波器的零点不敏感。新结构的舍入噪声比原来次最优二阶线性状态空间滤波器的并联实现结构降低12—28dB,且带宽愈窄,降噪效果愈佳。 A simple formula of unit noise gain is derived for suboptimal second-order state-space digital filter with error feedback. Nolse reduction performances obtained by using statistics and optimization methods for nine ESS structures are shown and five curves on which two ESS structures have the same noise reduction performance are given. For narrow-band digital filtering, the new structure can reduces roundoff noise by 10-30 dB, and its noise reduction performance is insensitive to the location of zeros of the filter. Examples of high order narrow-band lowpass, bandpass and bandstop ellip- tic filter demonstrate, that parallel realization of the new structures offers 12-28 dB reduction in noise gain comparing with the parallel realization of sub- optimal second-order LSS filter, and that the narrower the bandwidth, the more the noise reduction.
出处 《中山大学学报(自然科学版)》 CAS CSCD 1989年第2期15-21,共7页 Acta Scientiarum Naturalium Universitatis Sunyatseni
关键词 数学滤波器 误差谱成形 噪声增益 digital filter error spectrum shaping unit noise gain
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