Abstract:

Alpha stable distribution is a limiting distribution that maintains the generating mechanism and spreading condition of natural noise. We study the fractal box dimension characteristics of alpha stable distribution and show that, in theory, the fractal box dimension is insensitive to alpha stable distribution with a characteristic index between 1 and 2. We select the fractal box dimensions of signal phase as the recognition characteristic parameter to complete signal recognition. Theoretical study and numerical simulation show that the method has good robustness in background noise with alpha stable distribution.

Key words: signal recognition, Alpha stable distribution, fractal box dimension, feature parameter