Method and apparatus for quadrature detection and MRI system

Details Method and apparatus for quadrature detection and MRI system Method and apparatus for quadrature detection and MRI system

2006-09-12

2006-09-12

Gutierrez, Diego (Department: 2859)

Electricity: measuring and testing

Particle precession resonance

Spectrometer components

C324S076780

Reexamination Certificate

active

07106064

ABSTRACT:
A method of eliminating unnecessary frequency components using a quadrature detector. The method includes converting an analog input signal into a digital signal f1(t), and the signal f1(t) is delayed by a sampling time τ to form a signal f2(t). Then, letting the reference frequency be ω0, the I- and Q-components in quadrature detection by the following expression:in-line-formulae description="In-line Formulae" end="lead"?I={f2(t)*sin ω0t−f1(t)*sin ω0(t−τ)}/sin ω0τin-line-formulae description="In-line Formulae" end="tail"?in-line-formulae description="In-line Formulae" end="lead"?Q={f2(t)*cos ω0t−f1(t)*cos ω0(t−τ)}/sin ω0τ.in-line-formulae description="In-line Formulae" end="tail"?

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