| 摘要: |
| 椭圆球面波函数（PSWF）特性优良，是极具前途的非
正弦函数。由于幅度量化及数模转换器（DAC）输入位数有限，在基于直接数字波形合成的P
SWF脉冲产生系
统中，量化误差不可避免。给出该产生系统误差模型，重点针对量化误差问题，从随机信号
分析的角度分析了PSWF脉冲产生系统中影响幅度量化误差大小的主要因素，通过仿真定量分
析了量化误差对所产生PSWF脉冲时域波形、频谱及互相关特性和频域能量聚集性等重要特性
的影响。理论分析和仿真结果表明：产生系统采用高于4倍的过采样率和大于12 bit的量化
即可有效降低量化误差对产生PSWF信号性能的影响。所得结论对工程应用研究具有一定参考
价值。 |
| 关键词: 椭圆球面波函数 量化误差分析 直接数字波形合成 |
| DOI： |
|
| 基金项目:国家自然科学基金资助项目（60772056）；山东省“泰山学者”
建设工程专项经费资助项目 |
|
| Quantization error analysis of PSWF pulse generator |
| LIU Chuan-hui,WANG Hong-xing,ZHANG Lei,SHU Gen-chun |
| () |
| Abstract: |
| Prolate spheroidal wave functions(PSWFs) are very promising non-sinusoi
dal functions with excellent features. Due to the limitation bits of amplitude q
u
antization and digital to anologue converter(DAC), the quantization error in the
PSWF pulse generator based on
direct digital waveform synthesis(DDWS) is inevitable. This paper gives the syst
em′s
holistic error model, places emphasis on the problem of quantization error, anal
yses the impacts of the system′s quantization error from the perspective of ran
dom signal analysis. Theoretical analysis and simulation results show that usin
g over-sampling rate more than 4 times and quantization bits greater than 12 b
its can effectively reduce the quantization error of generated PSWF. The concl
usions has some value for the engineering and study as references. |
| Key words: spheroidal wave function(PSWF) quantitation error analysis direct digital wav
eform synthesis(DDWS) |
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