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Unformatted text preview: V 1 Z 2 Z 1 V 2 + _ Lesson 36 – Transfer Functions and Cascade Connections (Variant of Sections 11-1 and 11-2) (Variant of CLOs 11-1) This is the first lecture of a three-lecture block on learning how filters work and designing first-order filters. The end result is for the students to be able to design cascaded band-pass, band reject, or two one-pole HP or LP cascade Filters. Since our text teaches transfer functions after studying Laplace transforms, these lessons will enable us to use Phasor notation to teach transfer functions and simple first-order filters. This is useful if you are trying to cover filters in one semester for students that will not take the second semester of circuits. These three lectures are extracted from Chapters 11 and 12, and replace the Laplace operator “s” with “j ω ”. In this first lesson the idea of a transfer function, input impedance and a cascade connection are covered. Start by defining a transfer function as: Transfer Function = Output Phasor/Input Phasor This definition requires that we have only one input and one output AND that the circuit is in the zero state (all Initial Conditions are zero). A transfer function requires two-ports – one input and one output – to fulfill its Initial Conditions are zero)....
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- Spring '08
- Operational Amplifier, RC circuit, jω