Calibration transfer for second order analytical instruments

A method of calibrating an uncalibrated output from a first chromatograph relative to an output from a second reference chromatograph, said outputs from said first and second reference chromatograph being a two-dimensional matrix of data, the method comprising the steps of:

• (a) calculating a first banded diagonal transformation matrix, said first banded diagonal transformation matrix depending upon the output provided by said second reference chromatograph in response to a standard sample and the output provided by said first chromatograph in response to said standard sample;
• (b) calculating a second banded diagonal transformation matrix, said second banded diagonal transformation matrix depending upon the output provided by said second reference chromatograph in response to said standard sample and the output provided by said first chromatograph in response to said standard sample;
• and
• (c) multiplying said first and second banded diagonal transformation matrices with said uncalibrated output from said first chromatograph in response to a subsequent sample to provide a calibrated output.

A method of calibrating an uncalibrated output from a first second order instrument relative to an output from a second second order instrument, said outputs from said first and second instruments being a two-dimensional matrix of data, the method comprising the steps of:

• (a) calculating a first banded diagonal transformation matrix, said first banded diagonal transformation matrix depending upon the output provided by said second instrument in response to a standard sample and the output provided by said first instrument in response to said standard sample;
• (b) calculating a second banded diagonal transformation matrix, said second banded diagonal transformation matrix depending upon the output provided by said second instrument in response to said standard sample and the output provided by said first instrument in response to said standard sample;
• and
• (c) multiplying said first and second banded diagonal transformation matrices with said uncalibrated output from said first instrument in response to a subsequent sample to provide a calibrated output.