Finite innovation rate signal down-sampling and reconstruction method based on linear regular domain

The invention relates to a finite innovation rate signal down-sampling and reconstruction method based on a linear regular domain, and belongs to the technical field of digital signal processing. Theinnovation points of the method are as follows: based on the representation of a signal in a linear regular domain, down-sampling of a limited innovation rate signal is realized by designing a novel tightly supported sampling kernel, and then signal reconstruction is completed through high-resolution spectrum estimation. Compared with the prior art, according to the invention, different novel tight support sampling cores are designed according to the limited innovation rate of the signal and four free parameters of linear regular transformation, perfect reconstruction of the signal can be realized by down-sampling data far lower than the traditional Nyquist sampling rate, and the requirements and limitations of the Nyquist sampling theory on the signal band limit and the sampling rate arebroken through; and the me