Discrete Laguerre Gaussian Transforms and Their Applications

@article{Pei2016DiscreteLG,
  title={Discrete Laguerre Gaussian Transforms and Their Applications},
  author={Soo-Chang Pei and Chun-Lin Liu and Yun-Chiu Lai},
  journal={IEEE Transactions on Signal Processing},
  year={2016},
  volume={64},
  pages={3156-3166}
}
Laguerre Gaussian functions serve as a complete and orthonormal basis for a variety of physical problems, such as 2D isotropic quantum harmonic oscillators and circularly symmetric laser modes. In this paper, we propose “discrete Laguerre Gaussian functions,” which are defined such that some elegant physical properties are preserved and a fast computation algorithm of complexity O(N logN) is available. Discrete Laguerre Gaussian transforms, as introduced in this paper, inherit nice properties… CONTINUE READING

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