Uncertainty principles and signal recovery

Details Uncertainty principles and signal recovery Uncertainty principles and signal recovery

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989sjam...49..906d&link_type=abstract

SIAM Journal on Applied Mathematics (ISSN 0036-1399), vol. 49, June 1989, p. 906-931. Research supported by Schlumberger Compute

Mathematics

45

Heisenberg Theory, Recovery, Signal Processing, Bandwidth, Eigenvalues, Fourier Transformation, Matrices (Mathematics), Sharpness

Scientific paper

The uncertainty principle can easily be generalized to cases where the 'sets of concentration' are not intervals.Such generalizations are presented for continuous and discrete-time functions, and for several measures of 'concentration' (e.g., L2 and L1 measures). The generalizations explain interesting phenomena in signal recovery problems where there is an interplay of missing data, sparsity, and bandlimiting.

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