Test_Savitzky Golay - gizem90/Ocean-Acoustics---1 GitHub Wiki

$ NRR= $\frac{\sigma_y_v^2}{\sigma_v^2} = \int_{-\pi}^{\pi} |H(\omega)|^2 \frac{d\omega}{2\pi} = \sum_{n} h_n^2 \end{math}

$Since \begin{math} H(\omega) \end{math} is the frequency response of an ideal low-pass filter, frequency will range between minus and plus cut-off frequency \begin{math} -\omega_cutoff \leq \omega \leg \omega_cutoff \end{math}. NRR can for an ideal low-pass filter be expressed as

$sigma{y_v^2}

$\sqrt{\$4}$

$\sigma{y_v^2}$

$$\left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right)$$