Power-law shot noise and its relationship to /spl alpha/-stable processes

1/f/sup /spl beta//-type spectral behavior has received considerable attention in the past few years because it arises from a wide range of natural phenomena. Several methods have been proposed for modeling a 1/f/sup /spl beta// process. We consider a power-law shot noise model, and show that it gives rise to a power-law /spl alpha/-stable process if /spl beta/<1, or to a process with power-law /spl alpha/-stable increments if 1