一种基于有限更新率的非带限信号采样方法  

A sampling technique for non-bandlimited signals based on finite update rate

作　　者：谭雪琴[1] 王建新[1] 刘中[1] 蒋立平[1] 

机构地区：[1]南京理工大学电子工程与光电技术学院,江苏南京210094

出　　处：《电路与系统学报》2008年第4期92-95,共4页Journal of Circuits and Systems

摘　　要：针对Shannon采样定理只能处理带限信号的缺陷,推导论证了一种基于有限更新率的非带限信号采样方法。该方法处理的是更新率有限的信号,先将信号经过一个采样核滤波,然后以不低于信号更新率的采样率对其采样,就可以借助抵消滤波器和范德蒙方程从采样点中重建出原信号。计算机仿真结果表明,该方法重建原信号的精确度较高,并且具有较好的抗噪声性能,信噪比为20dB时信号估计值的均方差只有10-5的数量级,完全能满足实际工程的需求。Aiming at the drawback that Shannon theory can only process bandlimited signals, this paper deduces a kind of sampling theory of non-bandlimited signals based on finite update rate. The signal, which has finite update rate, is filtered through a sample kernel and then is sampled uniformly at an appropriate rate which is not less than the update rate. Then the original signal could be perfectly reconstructed by virtue of annihilating filter and Vandermonde equation. The simulation results indicate that this algorithm has high precision and good anti-noise performance. Its mean square error is only 10.5 level when the signal noise rate is 20dB, which can satisfy the engineering requirements.

关 键 词：采样理论 有限更新率 非带限信号 抵消滤波器 

分 类 号：TN911.21[电子电信—通信与信息系统]