Finding virtual signatures for linear spectral mixture analysis

Meiping Song, Shih Yu Chen, Hsiao Chi Li, Hsian Min Chen, Clayton Chi Chang Chen, Chein I. Chang

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


A new concept of virtual signature (VS) is introduced for linear spectral mixture analysis (LSMA) that can be used to form a linear mixture model (LMM) to perform data unmixing. A VS is defined as a spectrally distinct signature and different from an endmember as a pure signature in the sense that a VS must be extracted directly from the data and can be a mixed signature. It is also different from virtual endmembers (VEs) introduced in nonlinear spectral mixture analysis according to a bilinear model. By virtue of VS, this paper investigates three least squares (LSs)-based criteria, LS error (LSE), orthogonal subspace projection (OSP) residual, and maximal likelihood estimation (MLE) error, and further designs of their respective recursive algorithms to find VSs for LSMA to unmix data. In the mean time, a binary composite hypothesis testing-based Neyman Pearson detector is also developed in conjunction with the developed recursive algorithms to determine if their produced signatures are indeed desired VSs. Finally, an experiment-based comparative analysis is also conducted to demonstrate the proposed approaches.

Original languageEnglish
Article number7154408
Pages (from-to)2704-2719
Number of pages16
JournalIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Issue number6
Publication statusPublished - 2015 Jun 1

All Science Journal Classification (ASJC) codes

  • Computers in Earth Sciences
  • Atmospheric Science


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