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AAU

Network Analysis and Synthesis


The course Network Analysis and Synthesis will introduce students to techniques to design and synthesize electric circuits given a requirement.

Enrollment in this course is by invitation only

 This course provides a thorough exploration of network analysis, synthesis, and filter design. It starts with foundational concepts, including signals and systems, basic circuit elements, and network analysis techniques. Students will learn about network analysis using Laplace transforms, focusing on network functions, complex frequency, poles and zeros, and stability conditions for both driving point and transfer functions.

The course delves into frequency response, including magnitude and phase analysis, and the synthesis of network functions using concepts from realizability theory. Topics such as causality, stability, Hurwitz polynomials, and positive real functions are covered, along with elementary synthesis procedures and the synthesis of RLC driving point functions.

A significant portion of the course is dedicated to two-port networks, covering parameter relationships (Z, Y, T/ABCD, H), conditions of reciprocity and symmetry, and interconnections. Students will analyze two-port network functions, transfer functions, and applications, and explore configurations like T, Π, H, Q, and bridge networks.

The course also addresses filter types, specifications, and frequency transformations. Students will study passive filter design and synthesis, including Butterworth and Chebyshev approximations, and filter parameters such as pass band, stop band, cut-off frequency, and attenuation. The design and synthesis of both passive and active filters are covered, including methods like coefficient matching, Darlington (insertion loss) method, and active filter realizations such as Sallen-Key and multiple feedback.