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

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)


© The Authors. 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 POTon the mentioned FPGA.
Original languageEnglish
Article number097496
JournalJournal of Applied Remote Sensing
Issue number1
Publication statusPublished - 1 Jan 2015


  • hyperspectral image
  • lossy compression
  • pairwise orthogonal transform
  • space-qualified field-programmable gate array


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