Discrete-time signals and uncertainty relations involving ordinary second moments in time and frequency

Milos I. Doroslovacki · 2002

In discrete-time case the product of ordinary second moments of signal-energy distributions in time and frequency does not satisfy the Heisenberg's uncertainty relation. For specially defined second moments the relation is satisfied. We present new results showing valid uncertainty relations involving one ordinary second moment. The results are important for conceptualization and characterization of the simultaneous time-frequency localization for sequences.>

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