Cohen Operators Associated with Signal Representations

摘要

In this paper we study the relationships between general quantization rules which yield Cohen operators and the signal time-frequency representations in the Cohen class. After defining a suitable functional setting, we focus on the particular case of the concentration operators which, as the multipliers and Fourier multipliers in the Donoho-Stark uncertainty principle, furnish estimates of the energy concentration on subsets of the time-frequency space. Finally we study the case of positive representations in the Cohen class.