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- W2059910521 abstract "For a given time or frequency spread, one can always find continuous-time signals, which achieve the Heisenberg uncertainty principle bound. This is known, however, not to be the case for discrete-time sequences; only widely spread sequences asymptotically achieve this bound. We provide a constructive method for designing sequences that are maximally compact in time for a given frequency spread. By formulating the problem as a semidefinite program, we show that maximally compact sequences do not achieve the classic Heisenberg bound. We further provide analytic lower bounds on the time-frequency spread of such signals." @default.
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- W2059910521 date "2013-05-01" @default.
- W2059910521 modified "2023-10-03" @default.
- W2059910521 title "Sequences with minimal time-frequency spreads" @default.
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- W2059910521 doi "https://doi.org/10.1109/icassp.2013.6638683" @default.
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