1st bit lost issue in optical receiver systems

HI，
I am designing a DC-10MHz optical receiver which mainly works in the industrial monitoring control applications. Because it works low to DC which means the receiver have to handle with the burst mode like signal. Considering the large dynamic range requirement, the receiver have a AGC loop to adjust the gain for the different input signal strength. But I found in some cases for the limited time constants of AGC loop, the 1st or 1st&2nd bits will be lost in the output.

I am not familiar with the systems. I wonder if it would be problem in applications.

Thanks