NMR spectroscopy data recovery method and apparatus

A computer-readable medium having computer-executable instructions to cause a computer to perform a method of forming a high-resolution NMR spectrum, comprising:

• acquiring an initial partial spin-echo signal from a sample, the signal beginning at a time t=ti and having an echo-center portion;
• obtaining from the echo-center portion a low-resolution phase;
• Fourier-transforming the partial spin-echo signal to obtain an initial spectrum having an initial phase;
• replacing the initial phase in the initial spectrum with the low-resolution phase to create a phase-constrained spectrum;
• inverse Fourier-transforming the phase-constrained spectrum to obtain a reconstructed signal having data for time t<ti;
• replacing the data for time t>ti in the reconstructed signal with that of the initial signal to form a modified reconstructed signal and Fourier-transforming the modified reconstructed signal to obtain a new initial spectrum with a new initial phase;
• iterating the steps from replacing the initial phase in the initial spectrum with the low-resolution phase, to obtaining a reconstructed signal until the reconstructed remains substantially unchanged from the previous iteration;
• and
• Fourier-transforming the reconstructed signal to obtain the NMR spectrum.

A computer-readable medium having computer-executable instructions to cause a computer to perform the method of reconstructing a spin-echo signal from an initial partial spin-echo signal having an echo-center and a corresponding initial partial spin-echo spectrum with an initial phase, comprising:

• a) extracting a low-resolution phase term from the initial partial spin-echo signal;
• b) forming a reconstructed spin-echo signal using the low-resolution phase term;
• c) modifying the reconstructed spin-echo signal to include the initial partial spin-echo signal;
• and
• d) iterating acts b) and c) using the modified reconstructed spin-echo signal formed in c) in
• b) until the modified and reconstructed spin-echo signals have a sufficiently small difference.

In a computer system having a processor, a method of reconstructing a spin-echo signal from an initial partial spin-echo signal having an echo-center and a corresponding initial partial spin-echo spectrum with an initial phase, comprising:

• a) in the processor, extracting a low-resolution phase term from the initial partial spin-echo signal;
• b) forming in the processor a reconstructed spin-echo signal using the low-resolution phase term;
• c) in the processor, modifying the reconstructed spin-echo signal to include the initial partial spin-echo signal;
• and
• d) iterating acts b) and c) in the processor using the modified reconstructed spin-echo signal formed in c) in b) until the modified and reconstructed spin-echo signals have a sufficiently small difference.

A computer-readable medium having computer-executable instructions to cause a computer to perform a method comprising:

• a) extracting a low-resolution phase term from a detected partial spin-echo signal;
• b) forming a reconstructed spin-echo signal using the low-resolution phase term and the detected partial spin-echo signal;
• c) modifying t he reconstructed spin-echo signal to include the detected partial spin-echo signal;
• and
• d) iterating acts b) and c) until the modified and reconstructed spin-echo signals adequately converge.

In a computer system, performing a method comprising:

• a) obtaining a low-resolution phase term from a detected partial spin-echo signal;
• b) forming a reconstructed spin-echo signal using the low-resolution phase term;
• c) modifying the reconstructed spin-echo signal to include the detected partial spin-echo signal;
• and
• d) iterating acts b) and c) until the modified and reconstructed spin-echo signals have a sufficiently small difference.