ハールウェーブレット
= { 2 n 1 + n 2 2 ( min { k 1 + 1 2 n 1 , k 2 + 1 2 n 2 } − max { k 1 2 n 1 , k 2 2 n 2 } ) k 2 2 n 2 < k 1 + 1 2 n 1 ∧ k 1 2 n 1 < k 2 + 1 2 n 2 , 0 otherwise. {\displaystyle ={\begin{cases}2^{\frac {n_{1}+n_{2}}{2}}(\min\{{\frac {k_{1}+1}{2^{n_{1}}}},{\frac {k_{2}+1}{2^{n_{2}}}}\}-\max\{{\frac {k_{1}}{2^{n_{1}}}},{\frac {k_{2}}{2^{n_{2}}}}\})\quad &{\frac {k_{2}}{2^{n_{2}}}}<{\frac {k_{1}+1}{2^{n_{1}}}}\land {\frac {k_{1}}{2^{n_{1}}}}<{\frac {k_{2}+1}{2^{n_{2}}}},\\0&{\mbox{otherwise.}}\end{cases}}}