Hyperspectral Data Processing: Algorithm Design and Analysis

26.3 MPCM-Based Progressive Spectral Signature Coding

As recalled in the MPCM encoding algorithm, a signature vector will be considered as a 1-D spectral signature where r_l is represented by one of the priority code words taking values in . For example, c_l (r) indicates the priority of r_l in MPCM encoding and decoding. The smaller the number c_l (r) is, the higher priority the r_l (r) is for spectral encoding and decoding.

Next, we can further construct an M-dimensional priority unit vector associated with the priority code word c_l (r) for MPCM-PSC as follows:

(26.8)

with and . The condition that in (26.8) implies that c_l (r) has only one “1” in its component and all zeros in its remaining components. It should be noted that the priority code word c_l (r) takes the value in . Instead of using ...