## RLC Passive Filter Design

Description: Design of passive filters. Properties of positive-real
functions, design of driving-point and transfer immittances
of RC, RL, LC, and RLC networks. Design of classical filters
including Butterworth, Chebyshev, and elliptic filters.
Textbook: Van Valkenburg, Introduction of Modern Network Synthesis,
John Wiley, NY, 1960.
Chapter Topic
1 Introduction: Network models and equations, poles and
zeros of network functions, complex frequency.
2 Network Analysis: Series, parallel, and gereneral structures.
Impedance and admittance functions. Transfer functions using
y and z parameters.
3 Positive Real Functions: Driving-point functions, Brune's pr
functions and their properties.
4 Testing Driving-Point Functions: Maximum modulus theorem,
Hurwitz polynomials, residues, even and odd functions, Sturm's
theorem, and alternative tests.
5 LC Networks: Elementary synthesis operations. LC driving-point
synthesis.
6 RC and RL Networks: Properties of RC and RL network functions.
Foster and Cauer form of RC and RL networks..
7 RLC Networks: Minimum pr functions. Brune's method, Bott and
Duffin method.
10 Two Terminal-Pair Synthesis by Ladder Development: Properties
of -y12 and z12. LC ladder method, RC ladded method.
12 Symmetrical Lattice and Constant-Resistance Networks: Lattice
and synthesis procedures, constant resistance symmetrical
lattice, lattice decomposition, Barlett's bisection theorem,
constant-resistance bridged-T and ladder networks.
Project: Design, analyze, amd test (using microCap simulations) a 4th order filter.
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