Representation and Analysis of Signals. Part XXVIII. Zero-Crossings of Shot-Noise Processes.
JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF ELECTRICAL ENGINEERING
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The work is directed at the problem of computing beta, the expected number of zero-crossings per unit time, for random processes of shot-noise type. For the case that the underlying impulse response of the process has finite time duration, sufficient conditions for beta to be given in terms of an expression involving a characteristic function of the process are found. A series expansion for beta in powers of lambda, the parameter of the imbedded Poisson process, is developed, and betalambda is shown to be an entire function. Author
- Statistics and Probability