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:The generalized spectrogram <math>\mathcal{SP}_{w_1,w_2}(t,f)(x,w)</math> satisfies the time marginal condition if and only if <math>w_1w_2' = \delta</math>.
* '''Frequency marginal condition'''
:The generalized spectrogram <math>\mathcal{SP}_{w_1,w_2}(t,f)(x,w)</math> satisfies the frequency marginal condition if and only if <math>w_1w_2' = \delta</math>
:where <math>\delta</math> denotes the [[Dirac delta function]]
* '''Conservation of energy'''
:The generalized spectrogram <math>\mathcal{SP}_{w_1,w_2}(t,f)(x,w)</math> satisfies the conservation of energy if and only if <math>(w_1,w_2) = 1</math>.
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