Phase Difference/Time Delay Trace Functions and Their Application to Bearing Estimation in Arrays.
Abstract
A new concept, called here the 'trace function', was formulated and developed. The notion is that the phase differences/time delays of the signals received from an array of sensors which has a given defined geometry describe a certain 'trace function' which is constant for that array at a given look direction. If one can find a geometry for which the trace function's basic shape is not dependent on the look direction, but only some of its parameters are, then one has a powerful method to correlate (compare) the trace function of the received signal to a stored replica. The trace function concept was formalized and its application to some typical array geometries demonstrated. It was shown that for highly symmetric arrays like the circular and linear arrays the trace function reduces to a particularly simple form. This characteristic was used to derive a relatively simple and manageable MMSE estimator for the bearing of the incoming signal. The estimator is applicable to either narrow band signals by use of phase difference trace functions or to a wide band signal using the time delay trace function. Performance of the estimator was checked by simulation and compared to the CRLB as adapted to this application.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1979
- Accession Number
- ADA081144
Entities
People
- Shmuel C. Shelef
Organizations
- Naval Postgraduate School