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As long as you don't want more than count full pulses, thresholds at e.g. 1/4 and 3/4 of sensor output range do the trick.

A problem arises if DC bias is unstable, temperature dependent or just unknown. Measuring unit could try to identify voltage swing automatically, but only if a minimal change rate per day is achieved.

I wonder what's causing noise, if it's actual hall sensor output or picked-up hum and RF interferences due to unsuitable measurement circuit.

We didn't yet see measurements clarifying if filtering can reduce effective noise level.