These weights are computed using ratios of the Gamma function incorporating the number of data points in the range [a,t], and the parameter q.
Digital devices have the advantage of being versatile, and are not susceptible to unexpected output variation due to heat or noise.
The effect is that any history older than a is completely forgotten, and no longer influences the output.
Analog devices have the ability to retain history over longer intervals.
By replacing the capacitor with an RC Ladder circuit, a half order integrator, that is, with can be constructed.