Operator Theory Approach to Discrete Time-Frequency Distributions

  • S.B. Narayanan ,
  • J. McLaughlin ,
  • L. Atlas ,
  • Jasha Droppo

Proc. International Symposium on Time-Frequency and Time-Scale Analysis |

Published by Institute of Electrical and Electronics Engineers, Inc.

We develop a theory for constructing discrete quadratic time-frequency distributions using operator theory methods. The discrete methods give us additional insight into the discrete case in particular, rather than forcing us to infer from the continuous case. We prove that, even in the discrete case, spectrograms are the only positive quadratic time-frequency distributions.