Calculation of Normalized Poisson Kernel

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Description

This function calculates normalized Poisson kernel as a function of angle.

Usage

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pk(theta, eta)

Arguments

theta

angle

eta

bandwidth parameter for Poisson kernel

Details

This function calculates normalized Poisson kernel as a function of angle.

Value

vector of normalized Poisson kernel.

Examples

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theta <- c(-100:100)/100

par(mfrow=c(1,1), pty="m", mar=c(4,4,7,1)+0.1)
plot(theta, pk(theta, 0.9), type="l", xlab="angle (x pi)", ylab="SBF", 
    xlim=c(-1, 1), ylim=c(0, 1), lab=c(9, 7, 7), cex=1)
lines(theta, pk(theta, 0.7), lty=2)
lines(theta, pk(theta, 0.5), lty=4)
legend(0.4, 0.8, legend = c("ETA = 0.9","ETA = 0.7","ETA = 0.5"), 
    lty=c(1,2,4), cex=0.7)

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