Section 5 - Template 51 : Spherical harmonics data - complex packing

Octets Key Type Content
12-20 Same as Data Representation Template 5.50
21-24 laplacianScalingFactor signed P - Laplacian scaling factor (expressed in 10-6 units)
25-26 JS unsigned JS - pentagonal resolution parameter of the unpacked subset (see Note 1)
27-28 KS unsigned KS - pentagonal resolution parameter of the unpacked subset (see Note 1)
29-30 MS unsigned MS - pentagonal resolution parameter of the unpacked subset (see Note 1)
31-34 TS unsigned TS - total number of values in the unpacked subset (see Note 1)
35 unpackedSubsetPrecision codetable Precision of the unpacked subset (see Code Table 5.7)
Notes:

( 1) The unpacked subset is a set of values defined in the same way as the full set of values (on a spectrum limited to JS , KS and MS), but on which scaling and packing are not applied. Associated values are stored in octets 6 onwards of Section 7.

( 2) The remaining coefficients are multiplied by (n*(n+1))P, scaled and packed. The operator associated with this multiplication is derived from the laplacian operator on the sphere.

( 3) The retrieval formula for a coefficient of wave number n is then: Y = (R+X*2E)*10-D* (n*(n+1))-P where X is the packed scaled value associated with the coefficient