Algebraic System Response Equation into Circuit Design

[EE_Quipped]

For one of the next gen products my company is designing, I've been tasked with designing a broadband equalization/signal conditioning board. With this design I'm starting from the ground up. I've mathematically modeled the desired response in the frequency domain and subsequently derived a best-fit equation.

My question, does anyone know of any books or methodologies that focus on converting mathematical equations/models into equivalent circuit networks?

I know digital logic books often delve into converting boolean algebra to equivalent logic gate, circuit analysis books often show how to derive transfer equations, and RF design books will show how to utilize smith/impedance charts to find necessary LC components for matching networks. But has anyone ever stumbled upon a circuit design book that took a mathematical derivative approach to the design process?

Thanks in advance for any advice!

 

[rmanalo]

Opamps perform arithmitic operations on signals. Gilbert cells perform multiplication. and the combination of the two performs division. analog.com

 

[BigBoss]

Fundamental Math. Functions such as SQRT, MUL, DERIV etc.can be converted onto Circuits.Complex ones can also be realized with DSPs.
FPGAs can also convert/create Math Functions after digitization.