# Variance of the Discrete Gabor Transform for practical implementation

When we design a discrete Gabor filter for a 1D signal, how do we determine the variance of the filter, depending on the time step of the signal? Is there any empirical theorem/result that we should know about the Discrete Gabor Transform?

I'm not aware of mathematical arguments estimating gabor's $\theta$. These estimates are typically conservative anyway.
• If I think that the gabor filter of length $L$ is only effective if at least $2$ cycles of the signal are present. How should I set my frequency? – freak_warrior Dec 9 '13 at 3:04