Title :
Resolution in time-frequency
Author :
DeBrunner, Victor ; Ozaydin, Murad ; Przebinda, Tomasz
Author_Institution :
Sch. of Electr. & Comput. Eng., Oklahoma Univ., Norman, OK, USA
fDate :
3/1/1999 12:00:00 AM
Abstract :
We introduce a new measure Hp that is related to the Heisenberg uncertainty principle. The measure predicts the compactness of discrete-time signal descriptions in the sample-frequency phase plane. We conjecture a lower limit on the compaction in the phase plane and show that discretized Gaussians may not provide the most compact basis
Keywords :
Gaussian processes; discrete time systems; indeterminancy; signal representation; signal resolution; signal sampling; time-frequency analysis; Heisenberg uncertainty principle; compactness; discrete-time signal descriptions; discretized Gaussian; sample-frequency phase plane; time-frequency; Compaction; Filter bank; Gaussian processes; Matching pursuit algorithms; Phase measurement; Signal processing; Signal resolution; Speech; Time frequency analysis; Uncertainty;
Journal_Title :
Signal Processing, IEEE Transactions on
