Estimation of correlated signal-dependent noise statistics in hyperspectral images

ABSTRACT Accurate estimation of the underlying noise statistics is vital for the good performance of many hyperspectral image processing algorithms.Our proposed method can be used to estimate the full covariance matrix of the noise in the case where spectral correlation is present in the noise. However, this did not cater for the case of signal-dependent noise. In this paper, we extend the framework already proposedto the case of signal-dependent noise and propose a method to estimate the parameters of the signal-dependent noise variance even if the noise is spectrally correlated. It is shown that the proposed method can accurately estimate the different noise parameters in artificial datasets and even in the uncorrelated case usually gives better performance than the existing methods. Finally, the method is also applied and analysed in real datasets.

[1]  Asad Mahmood,et al.  On the suitability of using the residual method for estimation of the noise covariance matrix in hyperspectral images , 2017, 2017 IEEE AFRICON.

[2]  Felix Hueber,et al.  Hyperspectral Imaging Techniques For Spectral Detection And Classification , 2016 .

[3]  Asad Mahmood,et al.  Estimation of the Noise Spectral Covariance Matrix in Hyperspectral Images , 2018, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[4]  John F. Arnold,et al.  Reliably estimating the noise in AVIRIS hyperspectral images , 1996 .

[5]  Jocelyn Chanussot,et al.  Noise Reduction in Hyperspectral Imagery: Overview and Application , 2018, Remote. Sens..

[6]  Asad Mahmood,et al.  Modified Residual Method for Estimation of Signal Dependent Noise in Hyperspectral Images , 2018, 2018 9th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS).

[7]  Torbjørn Skauli,et al.  Sensor noise informed representation of hyperspectral data, with benefits for image storage and processing. , 2011, Optics express.

[8]  Chein-I Chang,et al.  Hyperspectral Imaging , 2003, Springer US.

[9]  Asad Mahmood,et al.  Modified Residual Method for the Estimation of Noise in Hyperspectral Images , 2017, IEEE Transactions on Geoscience and Remote Sensing.

[10]  Marco Diani,et al.  Signal-Dependent Noise Modeling and Model Parameter Estimation in Hyperspectral Images , 2011, IEEE Transactions on Geoscience and Remote Sensing.

[11]  Michael K. Ng,et al.  Hyperspectral Mixed Noise Removal By $\ell _1$-Norm-Based Subspace Representation , 2020, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[12]  Soosan Beheshti,et al.  Information theoretic assessment of correlated noise in hyperspectral signal unmixing , 2011, 2011 24th Canadian Conference on Electrical and Computer Engineering(CCECE).

[13]  R. E. Roger Principal Components transform with simple, automatic noise adjustment , 1996 .

[14]  Vladimir V. Lukin,et al.  Local Signal-Dependent Noise Variance Estimation From Hyperspectral Textural Images , 2011, IEEE Journal of Selected Topics in Signal Processing.