into the mri apparatus step 410 and a noise sample is acquired step 415 which can be generated using proper statistical parameters in order to acquire the information of fig2 and 3 the read out gradient waveform is used on the phase encoding axis of the scan step 420 to determine the local maximum of the phase encoding gradient and the data is over sampled and averaged step 425 from the acquired data the zero crossings are detected and indexed step 430 the maximum and minimum values are detected and indexed step 435 also a threshold is detected to demarcate the boundary between signal and noise step 440 if the scan is 3d then steps 420 through 445 are repeated on the second phase encoding axis step 446 referring to fig4 b a nominal scan is initiated step 450 using the index of maximum and minimum values n phase encoding levels are selected step 455 these levels typically range from ito 1024 steps that is n 1 to n 1024 but may be any integer number according to the selected n phase encoding levels the mri imaging data is acquired step 460 at the indexed zero crossings of the phase encoding gradient randomized noise is inserted step 465 the k space data is interpolated step 470 and the image is reconstructed step 475 if the image quality is satisfactory or the predetermined scan time is completed step 480 then the scan is complete.