Help needed designing an Rf filter
I have a rather unusual requirement and I can't find any off-the-shelf part or design procedure to implement it. I need a simple zero-pole, high shelf filter that'll have constant attenuation between DC and say 1GHz, then 3dB slope between 1GHz and 3Ghz, I don't care what happens afterwards. I also care about phase response as this system will be transmitting sharp pulses that I'd like to see undistorted. It's meant to compensate for limited bandwidth of final stage of my RF chain.
I tried designing with 2 diplexers and attenuation in low frequency arm but I couldn't find any DC coupled diplexers that can work up to GHz. I also looked into various equalizer designs and parts but they seems to insist on having a slope from their low frequency limit and not a flat response up to some f1 and slope between f1 and f2. Does anyone know how to design such a filter?
Before anyone asks it's needed for a research project regarding pulsed laser diodes. Most diodes have package inductance of around 5nH, which, when driven with series 50R, limits bandwidth to about 1GHz. I'd like to place this filter before final power amplifier (QPD1010) to generate an overshoot, that'll increase an effective bandwidth.