We are working with a new optical signal detector. Rather than sampling the input at regular (clocked) intervals, the sampling period is randomly distributed and changes between samples.

I have an equation for the Dirac comb but I seem to remember that its derivation (which I now cant seem to find) assumes a static period.

I have a value for the time period between samples, Ts which is exponentially distributed about a value E(Ts). Can I use the Dirac comb with a time period that changes between samples? And if so can anyone point to a derivation of non-periodic Dirac combs?

Thanks very much.