Hyperspectral Data Processing: Algorithm Design and Analysis

21.3 Criteria for Band Prioritization

In order to implement BP, a criterion is needed to measure the significance of a spectral band in terms of its priority score. In what follows, four classes of criteria are considered.

21.3.1 Second-Order Statistics-Based BPC

The first category of BP criterion (BPC) is derived from second-order statistics that are based on variance and signal-to-noise ratio (SNR).

21.3.1.1 Variance-Based BPC

A natural and logical approach to band prioritization is to compute variances for all spectral band images in a hyperspectral image cube, denoted by and further use band variances to define a priority score for each of band images as follows:

(21.1)

Another alternative interpretation is to use a set of loading factors proposed in Tu et al. (1998) and Chang et al. (1999) that can be defined by

(21.2)

It is easy to show that for each , ρ_l defined by

(21.3)

turns ...