Spectral Intrinsic Decomposition Method for Adaptive Signal Representation

Algorithm 1

Spectral intrinsic decomposition algorithm.

(1)  compute  𝑔^± from 𝐒₀, using for example MCP (2)

(2)  compute matrix operator 𝐋⁻¹=𝐄 (8)

(3)  perform eigendecomposition of 𝐄, [𝐕_𝐄,𝐋_𝐄]=eig(𝐄)

(4)  perform reconstruction coefficients of 𝑆₀, 𝐂=𝐋_𝐄𝐕_𝐄⁻¹𝑆₀⁻¹

(5)  set  [𝐕_𝐤], and [𝐋_𝐤] for 𝑘=1…𝑁,               ⊳𝑅𝑒𝑠𝑢𝑙𝑡

   and 𝐒_𝟎←∑^𝑁_𝑘=1𝐕_𝐤∗𝐂_𝐤