Claims
- 1. A method for transforming an NMR signal (F.sub.k) acquired at one sample rate (1/.DELTA.t.sub.A/D) into an output NMR signal (G.sub.j) of a prescribed sample rate (1/.DELTA.t), the steps comprising:
- a) calculating a weighting function (W.sup.k.spsp.2) based on the one sample rate, the prescribed sample rate and the total number of acquired samples (M);
- b) producing a windowed NMR signal (G.sub.k) by multiplying the Fourier transform of the NMR signal (F.sub.k) with a window function (H.sub.k);
- c) multiplying the windowed NMR signal (G.sub.k) by the weighting function (W.sup.k.spsp.2);
- d) convolving the result of step c) with the complex conjugate of the weighting function (W.sup.k.spsp.2); and
- e) producing the output NMR signal (G.sub.j) by multiplying the result of step d) with the weighting function (W.sup.j.spsp.2).
- 2. The method as recited in claim 1 in which the convolving step ) is performed by:
- f) inverse Fourier transforming the result of step c);
- g) inverse Fourier transforming the complex conjugate weighting function (W.sup.k.spsp.2);
- h) multiplying the result of step f) by the result of step g); and
- i) Fourier transforming the result of step h).
RELATED APPLICATIONS
This is a continuation-in-part application of prior U.S. patent application Ser. No. 09/039,436, filed on Mar. 16, 1998 and entitled "MRI SYSTEM WITH FRACTIONAL DECIMATION OF ACQUIRED DATA."
US Referenced Citations (2)
Number |
Name |
Date |
Kind |
4952877 |
Stormont et al. |
Aug 1990 |
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4992736 |
Stormont et al. |
Feb 1991 |
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Continuation in Parts (1)
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Number |
Date |
Country |
Parent |
039436 |
Mar 1998 |
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