Long Term ST Database 1.0.0

File: <base>/legendre/Legendre_normalized_orthonormal_coefficients.txt (11,322 bytes)

The sXYYYZ.noc.zip files, where X is the number of ECG leads,
YYY is the patient number, and Z is the record number of this
patient, are compressed ASCII files and contain:

 - Time series of ST segment normalized Legendre orthonormal transform
   coefficients. Normalization was performed by dividing coefficients
   by their standard deviations.

The Legendre orthonormal basis functions were applied to each
normal and non-noisy heart beat (in each ECG lead) of the records
of the LTST DB which passed the database's preprocessing phase
during its development.

The Legendre orthonormal basis functions are of length of 32
samples (128 ms) and were applied to ST segment in each ECG
lead from the point FP + 40ms to the point FP + 168 ms where
FP is the Aristotle's fiducial point.

For each Legendre coefficient standard deviation was calculated over
all leads of records and all records of the LTST DB (gross),
and each coefficient for each heart beat in each lead of records
was than divided by its standard deviation. 

Standard deviations for the first nine Legendre coefficients
are following:

Coefficient 1: 133.203369
Coefficient 2:  49.675447
Coefficient 3:  23.574539
Coefficient 4:  15.365625
Coefficient 5:  12.849109
Coefficient 6:  11.754031
Coefficient 7:  10.256803
Coefficient 8:   9.220771
Coefficient 9:   8.298571

To unzip each sXYYYZ.noc.zip file type:

unzip sXYYYZ.noc.zip

Columns in the sXYYYZ.noc file (for two channel records, X = 2,
RECORDS FROM s20011 TO s20651, represent:

Column  1:  Time index, Aristotle's fiducial point of the heart beat

Column  2:  ST segment normalized Legendre coeff. 1 for the lead 0 (multiplied by 100)
Column  3:  ST segment normalized Legendre coeff. 2 for the lead 0 (multiplied by 100)
Column  4:  ST segment normalized Legendre coeff. 3 for the lead 0 (multiplied by 100)
Column  5:  ST segment normalized Legendre coeff. 4 for the lead 0 (multiplied by 100)
Column  6:  ST segment normalized Legendre coeff. 5 for the lead 0 (multiplied by 100)
Column  7:  ST segment normalized Legendre coeff. 6 for the lead 0 (multiplied by 100)
Column  8:  ST segment normalized Legendre coeff. 7 for the lead 0 (multiplied by 100)
Column  9:  ST segment normalized Legendre coeff. 8 for the lead 0 (multiplied by 100)
Column 10:  ST segment normalized Legendre coeff. 9 for the lead 0 (multiplied by 100)

Column 11:  Residual error when using first 1 Legendre coeff. for 
            reconstruction of the ST segment in the lead 0
Column 12:  Residual error when using first 2 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 13:  Residual error when using first 3 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 14:  Residual error when using first 4 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 15:  Residual error when using first 5 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 16:  Residual error when using first 6 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 17:  Residual error when using first 7 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 18:  Residual error when using first 8 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 19:  Residual error when using first 9 Legendre coeff. for
            reconstruction of the ST segment in the lead 0

Column 20:  ST segment normalized Legendre coeff. 1 for the lead 1 (multiplied by 100)
Column 21:  ST segment normalized Legendre coeff. 2 for the lead 1 (multiplied by 100)
Column 22:  ST segment normalized Legendre coeff. 3 for the lead 1 (multiplied by 100)
Column 23   ST segment normalized Legendre coeff. 4 for the lead 1 (multiplied by 100)
Column 24:  ST segment normalized Legendre coeff. 5 for the lead 1 (multiplied by 100)
Column 25:  ST segment normalized Legendre coeff. 6 for the lead 1 (multiplied by 100)
Column 26:  ST segment normalized Legendre coeff. 7 for the lead 1 (multiplied by 100)
Column 27:  ST segment normalized Legendre coeff. 8 for the lead 1 (multiplied by 100)
Column 28:  ST segment normalized Legendre coeff. 9 for the lead 1 (multiplied by 100)

Column 29:  Residual error when using first 1 Legendre coeff. for 
            reconstruction of the ST segment in the lead 1
Column 30:  Residual error when using first 2 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 31:  Residual error when using first 3 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 32:  Residual error when using first 4 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 33:  Residual error when using first 5 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 34:  Residual error when using first 6 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 35:  Residual error when using first 7 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 36:  Residual error when using first 8 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 37:  Residual error when using first 9 Legendre coeff. for
            reconstruction of the ST segment in the lead 1


Columns in the sXYYYZ.loc file (for three channel records, X = 3,
RECORDS FROM s30661 TO s30801, represent:

Column  1:  Time index in [ms], Aristotle's fiducial point of the heart beat

Column  2:  ST segment normalized Legendre coeff. 1 for the lead 0 (multiplied by 100)
Column  3:  ST segment normalized Legendre coeff. 2 for the lead 0 (multiplied by 100)
Column  4:  ST segment normalized Legendre coeff. 3 for the lead 0 (multiplied by 100)
Column  5:  ST segment normalized Legendre coeff. 4 for the lead 0 (multiplied by 100)
Column  6:  ST segment normalized Legendre coeff. 5 for the lead 0 (multiplied by 100)
Column  7:  ST segment normalized Legendre coeff. 6 for the lead 0 (multiplied by 100)
Column  8:  ST segment normalized Legendre coeff. 7 for the lead 0 (multiplied by 100)
Column  9:  ST segment normalized Legendre coeff. 8 for the lead 0 (multiplied by 100)
Column 10:  ST segment normalized Legendre coeff. 9 for the lead 0 (multiplied by 100)

Column 11:  Residual error when using first 1 Legendre coeff. for 
            reconstruction of the ST segment in the lead 0
Column 12:  Residual error when using first 2 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 13:  Residual error when using first 3 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 14:  Residual error when using first 4 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 15:  Residual error when using first 5 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 16:  Residual error when using first 6 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 17:  Residual error when using first 7 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 18:  Residual error when using first 8 Legendre coeff. for
            reconstruction of the ST segment in the lead 0
Column 19:  Residual error when using first 9 Legendre coeff. for
            reconstruction of the ST segment in the lead 0

Column 20:  ST segment normalized Legendre coeff. 1 for the lead 1 (multiplied by 100)
Column 21:  ST segment normalized Legendre coeff. 2 for the lead 1 (multiplied by 100)
Column 22:  ST segment normalized Legendre coeff. 3 for the lead 1 (multiplied by 100)
Column 23   ST segment normalized Legendre coeff. 4 for the lead 1 (multiplied by 100)
Column 24:  ST segment normalized Legendre coeff. 5 for the lead 1 (multiplied by 100)
Column 25:  ST segment normalized Legendre coeff. 6 for the lead 1 (multiplied by 100)
Column 26:  ST segment normalized Legendre coeff. 7 for the lead 1 (multiplied by 100)
Column 27:  ST segment normalized Legendre coeff. 8 for the lead 1 (multiplied by 100)
Column 28:  ST segment normalized Legendre coeff. 9 for the lead 1 (multiplied by 100)

Column 29:  Residual error when using first 1 Legendre coeff. for 
            reconstruction of the ST segment in the lead 1
Column 30:  Residual error when using first 2 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 31:  Residual error when using first 3 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 32:  Residual error when using first 4 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 33:  Residual error when using first 5 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 34:  Residual error when using first 6 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 35:  Residual error when using first 7 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 36:  Residual error when using first 8 Legendre coeff. for
            reconstruction of the ST segment in the lead 1
Column 37:  Residual error when using first 9 Legendre coeff. for
            reconstruction of the ST segment in the lead 1

Column 38:  ST segment normalized Legendre coeff. 1 for the lead 2 (multiplied by 100)
Column 39:  ST segment normalized Legendre coeff. 2 for the lead 2 (multiplied by 100)
Column 40:  ST segment normalized Legendre coeff. 3 for the lead 2 (multiplied by 100)
Column 41   ST segment normalized Legendre coeff. 4 for the lead 2 (multiplied by 100)
Column 42:  ST segment normalized Legendre coeff. 5 for the lead 2 (multiplied by 100)
Column 43:  ST segment normalized Legendre coeff. 6 for the lead 2 (multiplied by 100)
Column 44:  ST segment normalized Legendre coeff. 7 for the lead 2 (multiplied by 100)
Column 45:  ST segment normalized Legendre coeff. 8 for the lead 2 (multiplied by 100)
Column 46:  ST segment normalized Legendre coeff. 9 for the lead 2 (multiplied by 100)

Column 47:  Residual error when using first 1 Legendre coeff. for 
            reconstruction of the ST segment in the lead 2
Column 48:  Residual error when using first 2 Legendre coeff. for
            reconstruction of the ST segment in the lead 2
Column 49:  Residual error when using first 3 Legendre coeff. for
            reconstruction of the ST segment in the lead 2
Column 50:  Residual error when using first 4 Legendre coeff. for
            reconstruction of the ST segment in the lead 2
Column 51:  Residual error when using first 5 Legendre coeff. for
            reconstruction of the ST segment in the lead 2
Column 52:  Residual error when using first 6 Legendre coeff. for
            reconstruction of the ST segment in the lead 2
Column 53:  Residual error when using first 7 Legendre coeff. for
            reconstruction of the ST segment in the lead 2
Column 54:  Residual error when using first 8 Legendre coeff. for
            reconstruction of the ST segment in the lead 2
Column 55:  Residual error when using first 9 Legendre coeff. for
            reconstruction of the ST segment in the lead 2