@InProceedings{8081343,
  author = {T. Shinohara and T. Yoshida and N. Aikawa},
  booktitle = {2017 25th European Signal Processing Conference (EUSIPCO)},
  title = {A closed-form transfer function of 2-D maximally flat half-band FIR digital filters with arbitrary filter orders},
  year = {2017},
  pages = {927-930},
  abstract = {2-D maximally flat diamond-shaped half-band linear phase FIR digital filters are used in sampling structure conversion. In some cases, this filter is expected to have different filter order for each dimension. However, the conventional methods can realize such filters only if difference between each order is 2, 4 and 6. In this paper, we proposed a closed-form transfer function of 2-D low-pass maximally flat diamond-shaped half-band FIR digital filters with arbitrary filter orders. The constraints to treat arbitrary filter orders are firstly proposed. Then, a closed-form transfer function is achieved by using Bernstein polynomial.},
  keywords = {FIR filters;polynomials;transfer functions;Bernstein polynomial;2D low-pass maximally flat diamond;2D maximally flat half-band FIR digital filters;filter order;half-band linear phase FIR digital filters;arbitrary filter orders;closed-form transfer function;Finite impulse response filters;Transfer functions;Design methodology;Europe;Two dimensional displays;TV},
  doi = {10.23919/EUSIPCO.2017.8081343},
  issn = {2076-1465},
  month = {Aug},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2017/papers/1570347816.pdf},
}

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