Multiple Correlation Function Approach Library
Multiple Correlation Function Approach Library
Multiple Correlation Function Approach Library
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The trapezoidal Stejskal-Tanner two-pulse profile is generated by functionfunction [Tprofile] = MCF_Ttrapeze(Up, Steady, Down, Pause, K);Input parameters:Up Ramp increasing time (in seconds, s).Steady Duration of plateau (in seconds, s).Down Ramp decreasing time (in seconds, s).Pause Delay between trapezoidal pulses (in seconds, s).K Discretization parameter (must lie between 10 and 10000).This function returns a vector of length K containing the discrete version of thetrapezoidal Stejskal-Tanner two-pulse profile. The accuracy is better for bigger valueof K, but the computation is slower. For typical calculations, K=100 ensures quiteaccurate results.Example:Tprofile = MCF_Ttrapeze(2e-3, 1e-3, 2e-3, 5e-3, 100);generates the temporal profile f(t) with two trapezoidal pulses of total duration 5 mswith time inverval 5 ms. Note that the last linear segment (14-15 ms) is an artifact ofrounding. This artifact is suppressed at higher discretization (e.g., K=1000).1 f(t) t, ms0.50-0.5-10 5 10 15Tprofile = MCF_Ttrapeze(2.2e-3, 0.6e-3, 2.2e-3, 0, 100);generates the temporal profile f(t) with two trapezoidal pulses of total duration 5 mswithout time inverval.1 f(t) t, ms0.50-0.5-10 2 4 6 8 109