# Technical Studies Reference

### Moving Average - Sine-Wave Weighted

This study calculates a sine-wave weighted moving average of the data specified by the Input Input Data.

Let $$X$$ be a random variable denoting the Input Data, and let $$X_i$$ be the value of the Input Data at chart bar $$i$$. Then we denote the Moving Average - Sine-Wave Weighted at chart bar $$t$$ for the given inputs as $$SWWMA_t(X)$$, and we compute it as follows.

$$\displaystyle{SWWMA_t(X) = \left. \left(\sum_{i=1}^5\sin\left(\frac{i\pi}{6}\right)X_{t-i+1}\right) \middle/ \left(\sum_{i=1}^5\sin\left(\frac{i\pi}{6}\right)\right) \right.}$$

For an explanation of the Sigma ($$\Sigma$$) notation for summation, refer to our description here.