Hello all,
This is my first post here and any help would be greatly appreciated. I am writing a C++ program that optimizes a passive implementation of a Butterworth filter in low, high, and band pass and band stop. My problem deals with the circuits' transfer functions. The goal of my program is as follows:
Given a set of possible values of inductors and capacitors that can make up a network (of nth order), find the set which minimizes the error between the realizable filter function and the idealized function.
My problem is as follows:
Once I have the normalized values of each component scaled for cutoff frequency and impedance, what is the relation between these and the transfer function coefficients? eg, if a 4th order network is desired and c1, c2, l1 and l2 are the normalized values of the capacitors and inductors, respectively, what are the equations that express the coefficients as functions of the components? a_i = f(c1,c2,l1,l2)
Any help would be greatly appreciated and if you could point me toward any applicable and specific reference material I would be extremely relieved since I am not an EE and combing circuits texts for the past two weeks has been not paying off.
Thanks in advance!
This is my first post here and any help would be greatly appreciated. I am writing a C++ program that optimizes a passive implementation of a Butterworth filter in low, high, and band pass and band stop. My problem deals with the circuits' transfer functions. The goal of my program is as follows:
Given a set of possible values of inductors and capacitors that can make up a network (of nth order), find the set which minimizes the error between the realizable filter function and the idealized function.
My problem is as follows:
Once I have the normalized values of each component scaled for cutoff frequency and impedance, what is the relation between these and the transfer function coefficients? eg, if a 4th order network is desired and c1, c2, l1 and l2 are the normalized values of the capacitors and inductors, respectively, what are the equations that express the coefficients as functions of the components? a_i = f(c1,c2,l1,l2)
Any help would be greatly appreciated and if you could point me toward any applicable and specific reference material I would be extremely relieved since I am not an EE and combing circuits texts for the past two weeks has been not paying off.
Thanks in advance!