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Serial data transmission depends on protocols. You have to select a suitable protocol than can be decoded at the FPGA side. Stratix III and IV FPGA offer a soft CDR feature with fast serial receiver channels that can be helpful to decode synchronous data streams. Using asynchronous (UART) protocols would be another option.
The output of the Linear demo circuit is apparently an amplified analog photo diode signal. It has to be converted to a digital data stream by a suitable circuit, e.g. a comparator. It might be possible to "abuse" a Stratix LVDS receiver as comparator, but the output voltage of the TIA must be limited to a safe FPGA input range before.
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I already have a comparator in my circuit (look at the image attached above) and i can't use synchronous data stream because my circuit has no clock.
I want to know how can i connect my circuit (Linear demo circuit followed by comparator) to any FPGA that will ensure me data rates of 15Mbps.
Tanks a lot.
Tzahi