Abstract
Linear systems can be represented by differential equations and contain combinations of only four unique elements. If the input signals can be restricted to steady-state sinusoids, then phasor techniques can represent these elements using algebraic equations. Phasor techniques represent steady-state sinusoids as a single complex number. When represented algebraically, systems can be combined into a single equation termed the transfer function. The transfer function mathematically relates the output of a system to its input. Frequency plots can be constructed directly from the transfer function using MATLAB, or a graphical technique known as Bode plot methods. Bode plot methods can also be used to construct the transfer function given a system's frequency plot.
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