Rate-distortion functions for nonhomogeneous Poisson processes (Corresp.)

Information rates for nonhomogeneous Poisson counting processes are derived. A source coding theorem is proved and rate-distortion functions are obtained for the reconstruction of the sample functions of the latter sources. Distortion measures which depend upon the magnitude of the error as well as on a temporal weighting function proportional to the instantaneous intensity of the source are assumed. The analysis utilizes recent results concerning information rates for homogeneous Poisson processes and appropriate time-scale transformations, which map the source sample functions into an isometric induced source.