ON THE TRANSFER FUNCTION FOR A RADIO SCATTER CHANNEL
Abstract
The formal proof that the components of a signal produced by the scattering of a monochromatic wave by random irregularities of refractive index are independently and normally distributed cannot be made with existing m-cependent central limit theorems. What is needed is a theorem that sets forth the maximum rate at which random variables may become more correlated as their number increases and yet allows the distribution function of their sum to approach the normal distribution. The theorem should be extendable to the case of random vectors of finite dimension. Further, the assumption of a correlation function for the fluctuation structure cannot produce the probability distribution function for H(omega sub i, t sub j) . One can, however, calculate the power spectrum of the scattered wave from this correlation function. Assuming an isotropic exponential correlation function in both space and time, the power spectrum of y(t) was found for a monochromatic x(t). The result is not unreasonable compared to some experimental results. A correlation function in frequency was also computed. Unfortunately, sweep frequency experiments have not produced enough data as yet to make it possible to compare the data with the computed correlation function. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1962
- Accession Number
- AD0286153
Entities
People
- H.e. Hardebeck
Organizations
- Air Force Cambridge Research Laboratories