Physics

Channel (broadcasting)

Nonuniform sampling

Quantization (signal processing)

Mathematics

Economic growth

Biology

Truncation error

Truncation (statistics)

Algorithm

Statistics

Gaussian

Sampling (signal processing)

Series (stratigraphy)

Paleontology

Artificial intelligence

Economics

Regularization (linguistics)

Convergence (economics)

Computer science

Gaussian process

Quantum mechanics

Applied mathematics

Rate of convergence

Telecommunications

Detector

Mathematical Problems in Engineering

The periodic nonuniform sampling plays an important role in digital signal processing and other engineering fields. In this paper, we introduce the Gaussian regularization method to accelerate the convergence rate of periodic nonuniform sampling series. We prove that the truncation error of the Gaussian regularized periodic nonuniform sampling series decays exponentially. Numerical experiments are presented to demonstrate our result.

Gaussian Regularized Periodic Nonuniform Sampling Series