A calibration method for optimizing the use of a digital printer featuring N channels, one of which with a white dye W, on substrates whose color substantially corresponds to one of the colors of the primary dyes, wherein a signal organization transformation is carried out upstream of the profiling target printing step by cancelling the channel of the base color corresponding to the color of the substrate and allocating the value W=100-BG to the white channel W, where BG is the color of the substrate to be printed, the method comprising the following steps: F1) Checking whether the BG color of the substrate is similar to one of the base dyes C, M, Y, K of an at least four-color printer and, if so, proceeding with a signal organization transformation, by cancelling the base color channel corresponding to the BG color of the substrate and allocating the value W = 100 - BG to the white channel W; G2) Printing the profiling target with mixtures of all dyes but that substituted by the BG virtual dye, whose channel is set to zero and is generated by way of the W white dye; H) Assessing the three-stimulus values of each of the samples of the profiling target and storing their respective colorimetric values in a digital file; H1) Measuring the colorimetric coordinates of a reference profiling target printed on a reference substrate, preferably a substrate of a medium grey color; H2) Generating the colorimetric coordinates of the individual samples of an intermediate profiling target, by subtracting the colorimetric coordinates of the color of the reference substrate from the value of the colorimetric coordinates of the corresponding samples of the reference profiling target; H3) Assessing the colorimetric coordinates of the printing substrate; H4) Generating the theoretical profiling target of the printing substrate by adding the value of the colorimetric coordinates of the printing substrate to the value of the colorimetric coordinates of the intermediate profiling target; I2) Normalizing the colorimetric values by dividing the colorimetric values of the samples of the profiling target by the value of the sample, all channels including all real dyes and one virtual dye being set to zero; J) Generating a first LUT table, called A2B table; L1) Checking whether the BG color of the substrate is similar to the black color K; If this check is successful, the following steps are carried out: M3) Searching for that solution, internally to a given Delta E, relevant to each individual input value of the PCS having a neutral component, which reproduces it by using the black component only, then printed, by virtue of the substitution made, through the white-modulated background color, or virtual dye; K) Generating a second LUT table, called B2A table. If the check is unsuccessful, the following steps are carried out: M) Searching for that data which makes up solutions to the PCS inputs values that provide the highest chromatic correspondence upon printing, by using a standard algorithm of a known type; K) Generating a second LUT table, called B2A table, by using a standard algorithm of a known type. F1) Checking whether the BG color of the substrate is similar to one of the base dyes C, M, Y, K of an at least four-color printer and, if so, proceeding with a signal organization transformation, by cancelling the base color channel corresponding to the BG color of the substrate and allocating the value W = 100 - BG to the white channel W; G2) Printing the profiling target with mixtures of all dyes but that substituted by the BG virtual dye, whose channel is set to zero and is generated by way of the W white dye; H) Assessing the three-stimulus values of each of the samples of the profiling target and storing their respective colorimetric values in a digital file; H1) Measuring the colorimetric coordinates of a reference profiling target printed on a reference substrate, preferably a substrate of a medium grey color; H2) Generating the colorimetric coordinates of the individual samples of an intermediate profiling target, by subtracting the colorimetric coordinates of the color of the reference substrate from the value of the colorimetric coordinates of the corresponding samples of the reference profiling target; H3) Assessing the colorimetric coordinates of the printing substrate; H4) Generating the theoretical profiling target of the printing substrate by adding the value of the colorimetric coordinates of the printing substrate to the value of the colorimetric coordinates of the intermediate profiling target; I2) Normalizing the colorimetric values by dividing the colorimetric values of the samples of the profiling target by the value of the sample, all channels including all real dyes and one virtual dye being set to zero; J) Generating a first LUT table, called A2B table; L1) Checking whether the BG color of the substrate is similar to the black color K; M3) Searching for that solution, internally to a given Delta E, relevant to each individual input value of the PCS having a neutral component, which reproduces it by using the black component only, then printed, by virtue of the substitution made, through the white-modulated background color, or virtual dye; K) Generating a second LUT table, called B2A table. M) Searching for that data which makes up solutions to the PCS inputs values that provide the highest chromatic correspondence upon printing, by using a standard algorithm of a known type; K) Generating a second LUT table, called B2A table, by using a standard algorithm of a known type.