在有限新息率(Finite Rate of Innovation, FRI)采样框架中，指数再生核具有良好的时域有限支撑特性，因此被广泛用作采样核。但是这一过程会将信号中的白噪声变为有色噪声，严重影响重构性能。为此，该文利用指数再生形式能够在卷积运算中得以保留的特性，提出一种改进的指数再生采样核，其对应的系数矩阵能够保持噪声的统计特性，进而保证重构算法性能。仿真实验表明该文方法能够有效提升重构性能。
Since exponential reproducing kernel has the finite support property in time domain, it is widely used as sampling kernel in Finite Rate of Innovation (FRI) sampling framework. However, this process will change white noise in signal to color one, which will grievously depress the performance of reconstruction. For this reason, by using the property that the exponential reproduction formula is preserved through convolution, a modified exponential reproducing kernel is proposed. Its coefficient matrix can keep the statistical property of noise, which ensures the reconstruction performance. Simulation results verify the validity of the proposed methods.