I have designed a 4-pole gaussian BPF arround 455kHz with 10kHz 3dB BW. I have tested it response and found that the sharpness is good but the insertion loss is about 30dB.
I guessed this insertion loss was due self resonance of the 680nF capacitor, but i have tested it response and found the resonance frequency is equal to 3.5MHz.
What is my fault can anyone help me?
You have imbalance in the parrallel cell: the C value is to big and the L value is to small.
Try to balance them in such a way that their impedances at 455kHz are comparable.
Those are very high-Q resonant circuits. You'll need super parts!
With one volt input and ideal components (unlikely), you get up to 30 volts at node 1, and one ampere through L12.
Maybe use a ceramic filter. I've had good luck with small muRata filters. They make many types, including 455kHz with 10kHz bandwidth. Catalogs here: https://www.murata.com/catalog/index.html