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Efficient algorithm for 2-D arithmetic Fourier transform
This article presents an efficient algorithm for the two-dimensional (2-D) arithmetic Fourier transform (AFT) based on the Mobius inversion formula of odd number series. It requires fewer multiplications and has less complexity over previous algorithms. In addition, a technique is proposed to carry...
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Published in: | IEEE transactions on signal processing 1997-08, Vol.45 (8), p.2136-2140 |
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container_end_page | 2140 |
container_issue | 8 |
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container_title | IEEE transactions on signal processing |
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creator | GE, X.-J CHEN, N.-X CHEN, Z.-D |
description | This article presents an efficient algorithm for the two-dimensional (2-D) arithmetic Fourier transform (AFT) based on the Mobius inversion formula of odd number series. It requires fewer multiplications and has less complexity over previous algorithms. In addition, a technique is proposed to carry out the on-axis Fourier coefficients. A parallel VLSI architecture is developed for the new algorithm. |
doi_str_mv | 10.1109/78.611235 |
format | article |
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language | eng |
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source | IEEE Electronic Library (IEL) Journals |
subjects | Acoustic noise Applied sciences Arithmetic Exact sciences and technology Fourier transforms Information, signal and communications theory Mathematical methods Signal processing Signal processing algorithms Solid modeling Spectral analysis Speech processing Telecommunications and information theory Two dimensional displays Very large scale integration |
title | Efficient algorithm for 2-D arithmetic Fourier transform |
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