Second-Order Sampling of 2-D Frequency Distributions by Using the Concepts of Tiling Clusters and Pair Regions

Toshihiro HORI

doi:10.1587/transfun.E100.A.1286

Second-Order Sampling of 2-D Frequency Distributions by Using the Concepts of Tiling Clusters and Pair Regions

Toshihiro HORI

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Second-order sampling of 2-D frequency distributions is examined in this paper. When a figure in the frequency space can fill up the entire frequency space by tiling, we call this figure a tiling cluster. We also introduce the concept of pair regions. The results obtained for the second-order sampling of 1-D and 2-D frequency distributions are arranged using these two concepts. The sampling functions and sampling positions of second-order sampling of a 2-D rectangular-complement highpass frequency distribution, which have not been solved until now, are explicitly presented by using these two concepts.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.6 pp.1286-1295

Publication Date: 2017/06/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E100.A.1286

Type of Manuscript: PAPER

Category: Analog Signal Processing

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Toshihiro HORI, "Second-Order Sampling of 2-D Frequency Distributions by Using the Concepts of Tiling Clusters and Pair Regions" in IEICE TRANSACTIONS on Fundamentals, vol. E100-A, no. 6, pp. 1286-1295, June 2017, doi: 10.1587/transfun.E100.A.1286.
Abstract: Second-order sampling of 2-D frequency distributions is examined in this paper. When a figure in the frequency space can fill up the entire frequency space by tiling, we call this figure a tiling cluster. We also introduce the concept of pair regions. The results obtained for the second-order sampling of 1-D and 2-D frequency distributions are arranged using these two concepts. The sampling functions and sampling positions of second-order sampling of a 2-D rectangular-complement highpass frequency distribution, which have not been solved until now, are explicitly presented by using these two concepts.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.1286/_p

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@ARTICLE{e100-a_6_1286,
author={Toshihiro HORI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Second-Order Sampling of 2-D Frequency Distributions by Using the Concepts of Tiling Clusters and Pair Regions},
year={2017},
volume={E100-A},
number={6},
pages={1286-1295},
abstract={Second-order sampling of 2-D frequency distributions is examined in this paper. When a figure in the frequency space can fill up the entire frequency space by tiling, we call this figure a tiling cluster. We also introduce the concept of pair regions. The results obtained for the second-order sampling of 1-D and 2-D frequency distributions are arranged using these two concepts. The sampling functions and sampling positions of second-order sampling of a 2-D rectangular-complement highpass frequency distribution, which have not been solved until now, are explicitly presented by using these two concepts.},
keywords={},
doi={10.1587/transfun.E100.A.1286},
ISSN={1745-1337},
month={June},}

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TY - JOUR
TI - Second-Order Sampling of 2-D Frequency Distributions by Using the Concepts of Tiling Clusters and Pair Regions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1286
EP - 1295
AU - Toshihiro HORI
PY - 2017
DO - 10.1587/transfun.E100.A.1286
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2017
AB - Second-order sampling of 2-D frequency distributions is examined in this paper. When a figure in the frequency space can fill up the entire frequency space by tiling, we call this figure a tiling cluster. We also introduce the concept of pair regions. The results obtained for the second-order sampling of 1-D and 2-D frequency distributions are arranged using these two concepts. The sampling functions and sampling positions of second-order sampling of a 2-D rectangular-complement highpass frequency distribution, which have not been solved until now, are explicitly presented by using these two concepts.
ER -