Table 5 Local trends estimation for each segment (v) with the functions set U
Trigonometric functions | Polynomial functions | ||
|---|---|---|---|
a | \(ax + b\) | \(ax^{2} + bx + c\) | |
0 | … | … | … |
\(K_{1} sin\left( x \right) + K_{2} cos\left( x \right)\) | … | \(ax + b + K_{1} sin\left( x \right) + K_{2} cos\left( x \right)\) | … |
\(K_{3} sin\left( {2x} \right) + K_{4} cos\left( {2x} \right)\) | … | … | … |
\(K_{1} sin\left( x \right) + K_{2} cos\left( x \right) + K_{3} sin\left( {2x} \right) + K_{4} cos\left( {2x} \right)\) | … | … | … |