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(Ed.)
Anew beamspace method for array processing, called
convolutional beamspace (CBS), is proposed. It enjoys the advantages
of classical beamspace such as lower computational complexity,
increased parallelism of subband processing, and improved
resolution threshold for DOA estimation. But unlike classical
beamspace methods, it allows root-MUSIC and ESPRIT to be
performed directly for ULAs without additional preparation since
the Vandermonde structure and the shift-invariance are preserved
under the CBS transformation. The method produces more accurate
DOA estimates than classical beamspace, and for correlated
sources, better estimates than element-space. The method
also generalizes to sparse arrays by effective use of the difference
coarray. For this, the autocorrelation evaluated on theULAportion
of the coarray is filtered appropriately to produce the coarray
CBS. It is also shown how CBS can be used in the context of
sparse signal representation with dictionaries, where the dictionaries
have columns that resemble steering vectors at a dense grid of
frequencies. Again CBS processing with dictionaries offers better
resolution, accuracy, and lower computational complexity. As only
the filter responses at discrete frequencies on the dictionary grid are
relevant, the problem of designing discrete-frequency FIR filters is
also addressed.
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