扰动次数	扰动形式	扰动参数取值	生成函数
二次	$\sum_{k = 1}^{2} α_{k} (z^{- k} + z^{k} - 2) + 1$	$α_{1} = - \frac{1}{32} (6 j + j^{2})$ $α_{2} = \frac{1}{128} (2 j + j^{2})$	$S = \frac{\begin{array}{l} 2 z^{- \frac{j}{2}} {(1 + z)}^{j} \frac{1}{128} (2 j + j^{2}) z^{- 2} - \frac{1}{32} (6 j + j^{2}) z^{- 1} \\ + (1 + \frac{11 j}{32} + \frac{3 j^{2}}{64}) - \frac{1}{32} (6 j + j^{2}) z + \frac{1}{128} (2 j + j^{2}) z^{2} \end{array}}{2^{j}}$
三次	$\sum_{k = 1}^{3} α_{k} (z^{- k} + z^{k} - 2) + 1$	$α_{1} = \frac{1}{32} (480 α_{3} - 6 j - j^{2})$ $α_{2} = \frac{1}{128} (- 768 α_{3} + 2 j + j^{2})$	$S = \frac{\begin{array}{l} 2 z^{- \frac{j}{2}} {(1 + z)}^{j} (α_{3} z^{- 3} + \frac{1}{128} (- 768 α_{3} + 2 j \\ + j^{2}) z^{- 2} + \frac{1}{32} (480 α_{3} - 6 j - 6 j^{2}) z^{- 1} \\ + (1 - 20 α_{3} + \frac{11}{32} j + \frac{3}{64} j^{2}) + \frac{1}{32} (480 α_{3} - 6 j - 6 j^{2}) z \\ + \frac{1}{128} (- 768 α_{3} + 2 j + j^{2}) z^{2} + α_{3} z^{3}) \end{array}}{2^{j}}$ Math_248#为任意值
四次	$\sum_{k = 1}^{4} α_{k} (z^{- k} + z^{k} - 2) + 1$	$α_{1} = \frac{1}{32} (2048 α_{4} + 480 α_{3} - 6 j - j^{2})$ $α_{2} = \frac{1}{128} (- 2560 α_{4} - 768 α_{3} + 2 j + j^{2})$		$S = \frac{\begin{array}{l} 2 z^{- \frac{j}{2}} {(1 + z)}^{j} (α_{4} z^{- 4} + α_{3} z^{- 3} \\ + \frac{1}{128} (- 2560 α_{4} - 768 α_{3} + 2 j + j^{2}) z^{- 2} \\ + \frac{1}{32} (2048 α_{4} + 480 α_{3} - 6 j - 6 j^{2}) z^{- 1} \\ + (1 - 20 α_{3} - 90 α_{4} + \frac{11}{32} j + \frac{3}{64} j^{2}) \\ + \frac{1}{32} (2048 α_{4} + 480 α_{3} - 6 j - 6 j^{2}) z \\ + \frac{1}{128} (- 2560 α_{4} - 768 α_{3} + 2 j + j^{2}) z^{2} + α_{3} z^{3} + α_{4} z^{4}) \end{array}}{2^{j}}$ Math_253#为任意值