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Understanding Digital Signal Processing, Third Edition by Richard G. Lyons

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Chapter Eight. Quadrature Signals

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Quadrature signals are based on the notion of complex numbers. Perhaps no other topic causes more heartache for newcomers to DSP than these numbers and their strange terminology of j-operator, complex, analytic, imaginary, real, and orthogonal. If you’re a little unsure of the physical meaning of complex numbers and the image operator, don’t feel bad because you’re in good company. Sixteenth-century Italian mathematician Girolamo Cardano described an imaginary number “as subtle as it is useless.” In the seventeenth ...

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