Finite Rate of Innovation Sampling System Based on Modified Exponential Reproducing Sampling Kernel

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.