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}} $$