time-causal and time-recursive analogue of the Gabor transform

The time-causal and time-recursive analogue of the Gabor transform provides a way to define a Gabor-like time-frequency analysis for real-time signals, for which the future cannot be accessed. This is achieved by choosing the temporal window function in a windowed Fourier transform as the time-causal limit kernel, which is a temporal kernel that is (i) time-causal, (ii) time-recursive and (iii) obeys temporal scale covariance.