On the hardware implementation of the arithmetic elements of the pairwise orthogonal transform

Lucana Santos; Ian Blanes; Aday García; Joan Serra-Sagristà; José López; Roberto Sarmiento

doi:10.1117/1.JRS.9.097496

29 May 2015 On the hardware implementation of the arithmetic elements of the pairwise orthogonal transform

Lucana Santos, Ian Blanes, Aday García, Joan Serra-Sagristà, José López, Roberto Sarmiento

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Journal of Applied Remote Sensing, Vol. 9, Issue 1, 097496 (May 2015). https://doi.org/10.1117/1.JRS.9.097496

Abstract

The pairwise orthogonal transform (POT) is an attractive alternative to the Kahrunen–Loève transform for spectral decorrelation in on-board multispectral and hyperspectral image compression due to its reduced complexity. This work validates that the low complexity of the POT makes it feasible for a space-qualified field-programmable gate array (FPGA) implementation. A register transfer level description of the arithmetic elements of the POT is provided with the aim of achieving a low occupancy of resources and making it possible to synthesize the design on a space-qualified RTAX2000S and RTAX2000S-DSP. In order to accomplish these goals, the operations of the POT are fine-tuned such that their implementation footprint is minimized while providing equivalent coding performance. The most computationally demanding operations are solved by means of a lookup table. An additional contribution of this paper is a bit-exact description of the mathematical equations that are part of the transform, defined in such a way that they can be solved with integer arithmetic and implementations that can be easily cross-validated. Experimental results are presented, showing that it is feasible to implement the components of the POT on the mentioned FPGA.

CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Lucana Santos, Ian Blanes, Aday García, Joan Serra-Sagristà, José López, and Roberto Sarmiento "On the hardware implementation of the arithmetic elements of the pairwise orthogonal transform," Journal of Applied Remote Sensing 9(1), 097496 (29 May 2015). https://doi.org/10.1117/1.JRS.9.097496

Published: 29 May 2015

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