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The Middleton Class A narrowband non-Gaussian noise model [9-12] is examined. It is shown that this noise model (which is known to fit closely a variety of non-Gaussian noises) can itself be closely approximated by a computationally much simpler noise model. It is then shown by numerical examples that, for the problem of locally optimum detection, the simplest form of this approximation yields nearly optimal (asymptotic) performance. The performance of other simple * suboptimal threshold detectors in Class A noise is also exam-i ined. Finally, a useful relationship between the Class A model and the c-mixture model is developed. *-__-1 110 tflzucN OXI IVOpi 16. P. Beckmann, "Amplitude-probability distribution of atmospheric radio noise," Modestino and A.H. Levesque, "A mixture model for VLF noise with applications to M-ary spread-spectrum signaling," Proc. Fft AMnual Priceton Citm. Inform. Sci Sys., Princeton Univ., Prince-ton. NJ, March 25-26, 1971. (Abstract only.) 20. G.V. Trunk, 'Small-and large-sample behavior of two detectors against envelope-detected sea clutter," IEEE 7'an.

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A recent paper by the author proposes that the phenomenon of inertia may be explained if the four metrical coefficients in the Minkowskian line element were to change as a consequence of acceleration. A certain scale factor multiplying the four metrical coefficients was found, which depends solely on velocity. This dynamic scale factor, which is [1 − (v/c) 2 )], models inertia as a gravitational-type phenomenon. With this metric the geodesic of general relativity is an identity, and all accelerating trajectories are geodesics. This paper shows that the same scale factor also agrees with special relativity, but offers a new perspective. A new kind of dynamic process involving four-dimensional scale transition is proposed.

An earlier paper introduced a new cosmological theory based on the proposition that all four metrical coefficients of space and time change with the cosmological expansion. Such a universal scale expansion would preserve the four-dimensional spacetime geometry and therefore by general relativity most physical relationships. In addition, if the scale expansion were exponential with time, all epochs would be equivalent. The theory resolves several outstanding problems with the standard model based on the Big Bang concept and better agrees with observations. Four independent observational programs support the SEC theory, which also provides an explanation to the Pioneer anomaly. A possible resolution to the recently discovered discrepancies between optical observations of the planets and their ephemerides is proposed.