Invented by Patrick Lafferty in 1999, a Sine Weighted Moving Average (SWMA) takes its weighting from the first half of a Sine wave cycle and accordingly, the most weighting is given to the data in the middle of the data set. It is therefore very similar to the Triangular Moving Average.
Function
A sine weighted moving average (Sine-MA) applies weights to each bar in the shape of the bulge in a sine curve from 0 to pi. For an N-bar average the weightings are
/ 1 \ / 2 \ / N \ sin | --- * pi |, sin | --- * pi |, ..., sin | --- * pi | \ N+1 / \ N+1 / \ N+1 / The effect is that middle prices have the greatest weight (much like the TMA, Triangular Moving Average). A Sine Weighted Moving Average ( Sine WMA ) takes its weighting from the first half of a Sine wave cycle and accordingly, the most weighting is given to the data in the middle of the data set.
Key Signal
SWMA(FastLength) --> SWMA Fast Line. SWMA(SlowLength) --> SWMA Slow Line.