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Bush__The_Essential_Physics_for_Medical_Imaging - Biomedical ...

Bush__The_Essential_Physics_for_Medical_Imaging - Biomedical ...

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Frequency Encode Gradient<strong>The</strong> frequency encode gradient (FEG), also known as the readout gradient, isapplied in a direction perpendicular to the SSG. For an axial image acquisition, theFEG is applied along the x-axis throughout the <strong>for</strong>mation and the decay of the signalsarising from the spins excited by the slice encode gradient. Spins constitutingthe signals are frequency encoded depending on their position along the FEG. Duringthe time the gradient is turned on, the protons precess with a frequency determinedby their position from the null. Higher precessional frequencies occur at thepositive pole, and lower frequencies occur at the negative pole of the FEG. Demodulation(removal of the Larmor precessional frequency) of the composite signal producesa net frequency variation that is symmetrically distributed from 0 frequencyat the null, to +f max and -fmax at the edges of the FOV (Fig. 15-9). <strong>The</strong> compositesignal is amplified, digitized, and decoded by the Fourier trans<strong>for</strong>m, a mathematicalalgorithm that converts frequency signals into a line of data correspondingto spin amplitude versus position (Fig. 15-10).A spatial "projection" of the object is created by summing the signal amplitudealong a column of the tissue; the width of the column is defined by the samplingaperture (pixel), and the thickness is governed by the slice select gradient strengthQ)'U:E0..E

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