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Matrices: | |
C = cascade | |
A = left | |
B = right | |
START | |
s11c = s11a + (s11b * s21a * s12a) / (one - s22a*s11b); | |
s12c = (s12a*s12b) / (one - s22a*s11b); | |
s21c = (s21a*s21b) / (one - s22a*s11b); | |
s22c = s22b + (s22a * s21b * s12b) / (one - s22a*s11b); | |
RESULTS | |
Solve for A, knowing B and C | |
s22a = (s22c - s22b) / (s21b*s12b + s22c*s11b - s22b*s11b) | |
s12a = (s12c - s12c*s11b*s22a) / s12b | |
s21a = (s21c - s21c*s22a*s11b) / s21b | |
s11a = s11c - (s11b * s21a * s12a) / (one - s22a*s11b) | |
Solve for B, knowing A and C | |
s11b = (s11c - s11a) / (s21a*s12a + s22a*s11c - s22a*s11a) | |
s12b = (s12c - s12c*s11b*s22a) / s12a | |
s21b = (s21c - s21c*s22a*s11b) / s21a | |
s22b = s22c - (s22a * s21b * s12b) / (one - s22a*s11b) |
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