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This chapter introduces the concept of the transfer function, which is a com- pact description of the input/output relation for a linear time-invariant system. We show how to obtain transfer functions analytically and experimentally. Combining transfer functions with block diagrams gives a powerful algebraic method to analyze linear systems with many blocks. The transfer function allows new interpretations of system dynamics. We also introduce the Bode plot, a powerful graphical rep- resentation of the transfer function that was introduced by Bode to analyze and design feedback amplifiers.
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