I'm trying to design a filter that allows through a 1kHz sine wave, based on my university lecture notes I have the following transfer function for a multiple feedback band pass filter:
$$A(s) = \frac{-H\omega_0s}{s^2+(1/Q)\omega_0 s+\omega_0^2}$$ where \$\omega_0\$ is the center frequency and \$Q\$ is the quality factor.
I have calculated \$Q\$ to be 16.6667 (bandwidth of 60Hz) and \$\omega_0 = 2\times \pi \times 1000\$.
My lecturer has informed me that I can treat \$H\$ in the above transfer function to be a specification for the passband gain, I wish a gain of 0dB at the center frequency so I set \$H = 1\$. The problem is when I calculate my capacitor and resistor values using the provided formulas in my lecture slides, my frequency response is centered at 1000Hz, however it has a gain of approx 25dB (my chosen cap values are 100nF and R1 = 1.59k, R2 = 41, R5 = 64k).
How do I appropriately choose \$H\$ so that I have a gain of 0dB at the passband (aka 1kHz)?