HilbertTransform {DecomposeR}

The Hilbert transform

Description

Creates the analytic signal using the Hilbert transform.

Usage

HilbertTransform(sig)

Arguments

sig

Signal to transform.

Details

Creates the real and imaginary parts of a signal.

Value

asig Analytic signal

Author(s)

Daniel C. Bowman (in the hht package)

See Also

HilbertEnvelope, InstantaneousFrequency

Examples

tt   <- seq(1000) * 0.01
sig  <- sin(pi * tt)
asig <- HilbertTransform(sig)

plot(tt, sig, xlim = c(0, 12))

lines(tt, Re(asig), col = "green")
lines(tt, Im(asig), col = "red")
legend("topright", col = c("black", "green", "red"),
       lty = c(NA, 1, 1), pch = c(1, NA, NA),
       legend = c("Signal", "Real", "Imaginary"))