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This work considers uncertainty relations on time frequency distributionsfrom a signal processing viewpoint. An uncertainty relation on themarginalizable time frequency distributions is given. A result from quantummechanics is used on Wigner distributions and marginalizable time frequencydistributions to investigate the change in variance of time and frequencyvariables from a signal processing perspective. Moreover, operations on signalswhich leave uncertainty relations unchanged are studied.

Symplectic Transformations on Wigner Distributions and Time Frequency Signal Design