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Magn Reson Med. 1998 Mar;39(3):383-91.

Wavelet encoding for improved SNR and retrospective slice thickness adjustment.

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Department of Medical Biophysics, University of Toronto and Sunnybrook Health Science Centre, Ontario, Canada.


A method to encode the slice-select direction in magnetic resonance imaging through the use of a discrete wavelet transform is presented. The paper reports the first implementation of wavelet encoding using the Haar basis. Theoretically, the signal-to-noise ratio (SNR) for two levels of wavelet encoding is expected to be approximately 1.6 times higher than for conventional multislice imaging in which each slice is excited separately. A slightly lower SNR is encountered experimentally because of slice interference. The design of radiofrequency (RF) pulses to excite slices approximating Haar wavelet basis functions is discussed. Wavelet encoding also provides an efficient method for balancing slice thickness and SNR after an image has been acquired. The experiments have been conducted at 1.5 Tesla. Wavelet encoding of slices should be especially suitable for low-field MRI, in which the SNR is lower and the characteristically lower T1 values favor the use of shorter TR, which sometimes forces the slices to be acquired in multiple passes.

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