Bandpass Filter

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//  Copyright by HPotter v1.0 02/10/2014
// The related article is copyrighted material from
// Stocks & Commodities Mar 2010
// You can use in the xPrice any series: Open, High, Low, Close, HL2, HLC3, OHLC4 and ect...
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study(title="Bandpass Filter")
Length = input(20, minval=1)
Delta = input(0.5)
xPrice = hl2
hline(0, color=blue, linestyle=line)
beta = cos(3.14 * (360 / Length) / 180)
gamma = 1 / cos(3.14 * (720 * Delta / Length) / 180)
alpha = gamma - sqrt(gamma * gamma - 1)
BP = 0.5 * (1 - alpha) * (xPrice - xPrice[2]) + beta * (1 + alpha) * nz(BP[1]) - alpha * nz(BP[2])
plot(BP, color=red, title="Bandpass Filter")