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Basic mathematics The use of complex notation in EM theory is common The interpretation is that the real part of the complex signal is what is measured To recover the phase, we multiple the returned signal by the outgoing signal (beating the two signals together) Take the outgoing signal to be vocos(2ft) You also generate a /2 lagged version Vosin(2 ft) These are called quadrature channels and they are multiplied by the returning signal 02/25/02 12.540Lec0602/25/02 12.540 Lec 06 14 Basic Mathematics • The use of complex notation in EM theory is common. The interpretation is that the real part of the complex signal is what is measured • To recover the phase, we multiple the returned signal by the outgoing signal (beating the two signals together) • Take the outgoing signal to be V ocos(2 πft) • You also generate a π/2 lagged version V osin(2 πft) • These are called quadrature channels and they are multiplied by the returning signal
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