I am designing a device which has two AC input signals. The Input signals are as follows.
A - AC Signal A
B - AC Signal B
Com - Shared Neutral for above inputs
Voltages of these signals could be anywhere between 12V-35V(rms,50Hz). These signals are used as both power and control signals for the device. The functionality of the circuit is like following.
AC signal applied between A and Com - Do Task X
AC signal applied between B and Com - Do Task Y
AC signal applied between both A,Com and B,Com - Do Task Y (Same as above)
Since it's hard to work with AC unregulated signals I wish to convert them to DC signals(and also DC power for the circuit will be drawn from the signals) and probably implement the rest of the circuit with logic gates or transistors. For this reason I need them to be rectified and share a common ground. I have designed following circuit with two bridge rectifiers and common ground, but it's no good. When AC is applied to Com and B, on the negative half cycle current conducts through the rectifier of signal A. I would be extremely grateful if someone could guide me for a better implementation.
I have also tried to create some other designs but couldn't make it to functional one.
Edit: I prefer a design without a center tap transformer
I have modified the design with the suggestions from @Kyle B and now I have a +Vcc GND -Vcc type power supply which is absolutely fine for my design.
Edit: With the excitement of voltage outputs I forgot to measure currents. When I measured them later it turned out to be order of hundreds which suggested an open circuit. Later I found out there is indeed and open circuit through diodes in this circuit. So this design not longer valid and I'm back to any new suggestions again :-(