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OPA858: Regarding PD and supply product

Part Number: OPA858

To whom it may concern,

I have a single-ended input signal range of 0V~0.5V and a single-ended output range of 0V to 3V, and I need a bandwidth of more than 800MHz for a capacitive load <2pF.

Based on simulation and reading, I find OPA858 to be very suitable. 

Signal 1: analog low swing

Signal 2: digital high swing 

Now I have two questions:

1. I find that I need an unbalanced split supply of -1V and 4V for non-inverting amplification. Thus, is there any recommended TI LDO that can generate -1V and 4V together conveniently?

2. If the amplifier is in power down mode, with Vin+ still connected to a voltage within the input range, and supplies still connected to -1V and 4V, can I short the output to 0V?

Please advice.

Thank you.

Weiyu