The applet calculates the rate of positive-slope zero-crossings and rate of noise peaks for Gaussian noise with various video band shapes.
Band shape order is modified using the Shape Order scrollbar.

User Notes:
Low-order filter shapes have slow high-frequency spectrum roll-off resulting in high zero-crossing and peak rates. These high rates may not be observed in practice as practical video amplifiers do not usually sustain such high frequencies due to active device limitations. The model implements a sharp cutoff at 10 x bandwidth B, to ensure the integration converges for video filters of order 1.
The video bandwidth B is defined at the –3-dB cut-off level for Butterworth band shape but by the –X-dB point on Chebyshev bandshapes, where X is the design in-band ripple level.
The rule-of-thumb assumption of noise peaks at the video bandwidth rate B does not seriously affect false alarm rate calculation if the video cut-off is fairly sharp. This is not true for the lower order band shapes. The consequence is higher false alarm rates than might be expected, but possibly improved probability of detecting the longer pulses.