ARRAY GAINS FOR BEAMFORMERS OPERATING WITH A MULTIMODAL MEDIUM AND A PARTIALLY DIRECTIVE NOISE FIELD,
Abstract
Formulas are derived for the processing gain of a multi-element receiving array operating in a non-isotropic noise field and in a medium that supports multipath signal arrivals. In particular, it is assumed that the noise field consists of an isotropic part plus a superimposed field produced by distant discrete noise sources. Derivations are made without restricting the nature of the multipath arrivals, but the tabulated examples refer to cases in which the signal and noise bandwidths are sufficiently broad that only a few arrivals overlap in a time comparable to the main lobe width of the signal and noise autocorrelations, and to cases for which the receiving array is sufficiently dispersed to allow only a few arrivals to be angularly unresolved. The computations are made for an array which sums the analog signals for all individual receivers, and for one which sums the hard-clipped versions of these signals. Despite the restriction in the examples to only a few arrivals overlapping in time and angle, the effects of multipath interference, multipath normalization (for the hard-clipped array) and a few discrete noise sources cause the resultant signal-to-noise enhancement for the array to differ markedly from the (10 log N) dB result characteristic of a single arrival and an isotropic, uncorrelated noise field. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1965
- Accession Number
- AD0477195
Entities
People
- Ross E. Williams
Organizations
- Columbia University