On the Number of Signals Resolvable by a Uniform Linear Array

Yoram Bresler, Albert Macovski

Research output: Contribution to journalArticlepeer-review


An algebraic limitation on the maximum number of direction-of-arrival plane waves that can be resolved by a uniform linear sensor array is studied. Achievable lower and upper bounds are derived on that number as a function of the number of elements in the array, the number of snapshots, and the rank of the source sample-correlation matrix. The signals are assumed narrow-band and of identical and known center frequency. The results are also applicable in the coherent signal case and when directions of arrival are estimated from few snapshots. While in the multiple-snapshot case the lower bounds coincide with known asymptotic results, the upper bounds indicate the potential for resolving more signals than by present methods of array processing.

Original languageEnglish (US)
Pages (from-to)1361-1375
Number of pages15
JournalIEEE Transactions on Acoustics, Speech, and Signal Processing
Issue number6
StatePublished - Dec 1986
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing


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