| 李秋生,叶丽华.带通信号采样理论中的若干问题研究[J].井冈山大学自然版,2017,(2):61-65 |
| 带通信号采样理论中的若干问题研究 |
| RESEARCH ON SEVERAL ISSUES IN BANDPASS SIGNAL SAMPLING THEORY |
| 投稿时间：2016-11-25 修订日期：2017-02-21 |
| DOI：10.3969/j.issn.1674-8085.2017.02.012 |
| 中文关键词: 带通信号 采样 信号重建 |
| 英文关键词: bandpass signal sampling signal reconstruction |
| 基金项目:江西省教育厅科学技术研究项目（GJJ14658）；赣南师范大学2015年招标课题（15zb04）；赣南师范大学教学改革研究课题（gsjg-14-56） |
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| 中文摘要: |
| 带通信号采样定理在实际应用中还存在若干问题需要明晰，如不混叠采样频率的范围和最优采样频率选择问题、对边缘频率分量非零的带通信号的采样适应性问题、对正弦类信号采样的适应性问题等。针对这些问题，该文从理论上进行了详细的分析和讨论。分析表明，带通信号的采样频率存在一个优化的选择范围，且对于某一确定的带通信号，存在一个最优的采样频率，该范围和最优采样频率均由信号的最高和最低频率成分以及信号带宽所确定；当带通信号的边缘频率分量非零时，采用两倍的信号带宽对其进行采样时将发生频谱混叠，且若在边缘频率处存在冲激函数，采样之后的信号将无法重建原信号。 |
| 英文摘要: |
| There are some problems need to clarify for bandpass signal sampling theorem in practical applications, such as the range of sampling frequency, the optimal sampling frequency, the sampling adaptive problem for bandpass signal with nonzero edge frequency components, the sampling adaptive problem for sinusoidal signal. In view of these problems, we have carried on the detailed analysis and discussion theoretically. Analysis shows that there exists an optimized choice range for bandpass signal sampling frequency as well as an optimal sampling frequency for a determined bandpass signal, which are all determined by the highest and lowest frequency components and the signal bandwidth. If the edge frequency components of the signal is nonzero, the spectrum aliasing will occur when taking the sampling frequency as twice of the signal bandwidth. If there exists an impulse function at the edge frequency, the original signal will not be able to be reconstructed by the sampling signal. |
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