Complex Shannon Wavelet
Compute the Complex Shannon wavelet.
shanwavf(lb = -8, ub = 8, n = 1000, fb = 5, fc = 1)
lb, ub |
Lower and upper bounds of the interval to evaluate the waveform on. Default: -8 to 8. |
n |
Number of points on the grid between |
fb |
Time-decay parameter of the wavelet (bandwidth in the frequency domain). Must be a positive scalar. Default: 5. |
fc |
Center frequency of the wavelet. Must be a positive scalar. Default: 1. |
The complex Shannon wavelet is defined by a bandwidth parameter fb, a
wavelet center frequency fc, and the expression
ψ(x) = (fb^{0.5} * (sinc(fb * x) * e^{2 * 1i * pi * fc * x}))
on an n-point regular grid in the interval of lb to ub.
A list containing 2 variables; x, the grid on which the
complex Shannon wavelet was evaluated, and psi (Ψ), the
evaluated wavelet on the grid x.
Sylvain Pelissier, sylvain.pelissier@gmail.com.
Conversion to R by Geert van Boxtel G.J.M.vanBoxtel@gmail.com.
fb <- 1
fc <- 1.5
lb <- -20
ub <- 20
n <- 1000
sw <- shanwavf(lb, ub, n, fb, fc)
op <- par(mfrow = c(2,1))
plot(sw$x, Re(sw$psi), type="l", main = "Complex Shannon Wavelet",
xlab = "real part", ylab = "")
plot(sw$x, Im(sw$psi), type="l", xlab = "imaginary part", ylab = "")
par(op)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.