Patent ID: 8248071

Claim:
A method of conducting an N-dimensional nuclear magnetic resonance (NMR) experiment in a phase-sensitive manner by use of forward and backward sampling of time domain shifted by a primary phase shift under conditions effective to measure time domain amplitudes and secondary phase shifts, said method comprising: providing a sample; applying radiofrequency pulses for an N-dimensional NMR experiment to said sample; selecting m dimensions of said NMR experiment, wherein m≦N; sampling a time domain modulation in a phase-sensitive manner in each selected dimension jε[1,2, . . . , m] arising from time evolution of chemical shift α j in both a forward and backward manner to obtain two interferograms for each time domain dimension t j defining the vector C j , ψ j ⁡ ( t j ) := [ I j , ψ j + ⁢ c ψ j + ⁡ ( t j ) I j , ψ j , δ j - ⁢ c ψ j , δ j - ⁡ ( t j ) ] = [ I j , ψ j + ⁢ cos ⁡ ( ψ j + α j ⁢ t j + Φ j , ψ j + ) I j , ψ j , δ j - ⁢ cos ⁡ ( ψ j + δ j - α j ⁢ t j + Φ j , ψ j , δ j - ) ] , wherein I j,ψ j + and I j,ψ j ,δ j − are amplitudes, Ψ j and Ψ j +δ j are primary phase shifts with Ψ j , δ j ε[0,2π[and the cases {ψ j =nπ/2 and δ j =mπ} with n=0, 1, 2, 3 and m=0, 1 being omitted, and Φ j,ψ j + and Φ j,ψ j ,δ j − are secondary phase shifts; multiplying each said vectors C j,ψ j t j ) with a D-matrix defined as D j = [ sin ⁡ ( ψ j + δ j ) sin ⁡ ( ψ j ) - cos ⁡ ( ψ j + δ j ) cos ⁡ ( ψ j ) ] and a vector Q=[1 i], wherein i=√{square root over (−1)}, according to Q·D j ·C j,ψ j t j ) under conditions effective to create a complex time domain of said selected m dimensions according to ⊗ j ⁢ Q · D j · C j , ψ j ⁡ ( t j ) ; and transforming said complex time domain into frequency domain by use of an operator O under conditions effective to measure the values of I j,ψ j + , I j,ψ j ,δ j − , Φ j,ψ j + and Φ j,ψ j ,δ j − in said frequency domain in order to generate NMR spectra comprising frequency domain signals.