MRI system with fractional decimation of acquired data using a two-dimensional fourier transformation
AssigneeGeneral Electric Company
InventorJie F. Shen
Life of this patent
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Abstract
An MRI system acquires NMR signals at a fixed sample rate. The acquired NMR signals are decimated to produce an output NMR signal at a prescribed sample rate. The acquired NMR signal is converted to a two-dimensional array and then transformed to the frequency domain by performing a DFT along one dimension of the array and a FFT along the other dimension. The resulting frequency domain data is filtered to the prescribed bandwidth and Fourier transformed back to the time domain.
Claims7
A method for decimating a time domain signal, comprised of a sequence of signal samples acquired at a preset sample rate, the steps comprising:
- a) converting the sequence of signal samples to a two-dimensional array of signal samples having one dimension equal to an odd integer and the second dimension equal to a power of two;
- b) performing a discrete Fourier transform along the one dimension of the two-dimensional array of signal samples;
- c) performing a fast Fourier transformation along the second dimension of the two-dimensional array of signal samples to produce a frequency domain data set;
- d) filtering the frequency domain data set to a selected bandwidth;
- and
- e) Fourier transforming the filtered frequency domain data set to produce a decimated sequence of time domain signal samples.
Dependencies are inferred from the claim text.