how do i filter the records in analytic view by using variable/parameter for a time range

i have a analytic view which has a output column as date type. i want the user who use this view have the control to decided the output records based on a time range (from x to y).

i tried to create 2 variables, 1 for start_time, 1 for end_time. Ideally, i should have a expression for filtering data like this:

$$start_time <= date_column <= $$end_time

However, the variable windows doesn't seem to be feasible for the expression as above.

Does anyone has the same problem and get it solved?

Thanks!