Abstract

A previous paper by Bell in 1958 suggested that the unlimited 1/f spectrum of semiconductor noise may correspond to the unlimited delays which occur when a group of carriers in the conduction band has random access to an equal number of recombination centres. A system in which members of a waiting group receive service in random sequence (regardless of past waiting times) is known as a random-service queue, and the distribution of delays has been computed by Pollaczek in 1946 for a decreasing mean size of waiting group. Pollaczek's formula has been extrapolated and approximated to the case of constant size of waiting group, and thispaper reports numerically computed values of the corresponding auto-correlation function and power spectrum. The latter has an appreciable segment of constant slope.

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