User:Sandwitches/sandbox

$W_{f}(a,b)={\frac {1}{\sqrt {a}}}\int _{-\infty }^{\infty }x(t)\psi \left({\frac {t-b}{a}}\right)\,dt$
$x(t)={\frac {1}{C}}\int _{-\infty }^{\infty }\int _{-\infty }^{\infty }W_{f}(a,b)\psi \left({\frac {t-b}{a}}\right)\,dt\,{\frac {da}{a^{2}}}$

${\begin{bmatrix}{x_{1}}&{x_{2}}&\cdot \cdot \cdot &xn\\\end{bmatrix}}{\begin{bmatrix}w_{11}&w_{12}&\cdot \cdot \cdot &w_{1m}\\w_{21}&w_{22}&\cdot \cdot \cdot &w_{2m}\\\cdot \cdot \cdot \\w_{n1}&w_{n2}&\cdot \cdot \cdot &w_{nm}\\\end{bmatrix}}={\begin{bmatrix}y_{1}&y_{2}&\cdot \cdot \cdot &y_{m}\\\end{bmatrix}}$