Digital Signal Processing Using MATLAB and Wavelets

Chapter 7 - The Number e

Euler's formula: so far we have used it like a transform to go from to $\cos() + j \sin()$, to or back. But why can we do this? Where does $etest$ come from? What does j really mean? These questions and more will be answered in this chapter. Along the way, we have a few important concepts about DSP, including how a complex number can be thought of as a vector on the complex plane (instead of a real number on the real number line), how such a vector can rotate, how we can go between alternate representations of the same information (such as polar coordinates versus Cartesian ones), and how some representations are more suitable for mathematical manipulations than others.

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