Abstract
Magnetic resonance data is generated as a set of digital signals in the time domain. Each signal represents a multiplicity of parameters (for example two or three dimensions in the frequency domain). Transformation of such multiparameter (multidimensional) time domain signals into the frequency domain to provide multidimensional spectra (in frequency or in space for resonance imaging) utilizes discrete Fourier transformation in a spectral region of interest by calculating matrix products of data points corresponding to successively spaced values of the time domain signal in sequence with data signals corresponding to successive frequency points to obtain the output spectra. To increase the efficiency of the calculations "zero padding" may be accomplished directly in the frequency domain reconstructing more or less data points there than the corresponding number of the acquired time domain points, to increase or decrease digital resolution. Small information rich regions of the spectra (e.g., 2D and 3D NMR spectra) may be produced, without reconstruction of the other part of the spectra, directly from the time domain data, with no intermediate transposition step, and greatly reduced computational resources (e.g., disk input/output (I/O)).
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