Complex Number Review

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20.309: Biological Instrumentation and Measurement

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Complex numbers include a real component and an imaginary component, which includes the imaginary number $ j = \sqrt{-1} $. We can represent a complex number like this: $ z = x + jy $, where $ x $ is the real part and $ y $ is the imaginary part. Complex numbers can be represented on a plot as shown on the right, where the horizontal axis corresponds to the real part and the vertical axis corresponds to the imaginary part.

exponential

finding magnitude

phase