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Log amplifier

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My customer is looking for log amplifier with following specification:
Input current range:  10 nA to 150 mA
Input current pulse width: 6ns to 10ns (pulse width = ON time)   
Amplifier response time: <5ns

I couldn't find log amplifier >10mA. Please suggest way to achieve this, if we don't have a part.

Regards,

Prahlad


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