gauspuls function

Gaussian-modulated sinusoidal RF pulse

Generate a Gaussian modulated sinusoidal pulse sampled at times t.

gauspuls(t, fc = 1000, bw = 0.5)

Arguments

• t: Vector of time values at which the unit-amplitude Gaussian RF pulse is calculated.
• fc: Center frequency of the Gaussian-modulated sinusoidal pulses, specified as a real positive scalar expressed in Hz. Default: 1000
• bw: Fractional bandwidth of the Gaussian-modulated sinusoidal pulses, specified as a real positive scalar.

Returns

Inphase Gaussian-modulated sinusoidal pulse, returned as a vector of unit amplitude at the times indicated by the time vector t.

Examples

fs <- 11025    # arbitrary sample rate
t <- seq(-10, 10, 1/fs)
yi1 <- gauspuls(t, 0.1, 1)
yi2 <- gauspuls(t, 0.1, 2)
plot(t, yi1, type="l", xlab = "Time", ylab = "Amplitude")
lines(t, yi2, col = "red")

fs <- 11025  # arbitrary sample rate
f0 <- 100    # pulse train sample rate
x <- pulstran (seq(0, 4/f0, 1/fs), seq(0, 4/f0, 1/f0), "gauspuls")
plot (0:(length(x)-1) * 1000/fs, x, type="l",
      xlab = "Time (ms)", ylab = "Amplitude",
      main = "Gaussian pulse train at 10 ms intervals")

Author(s)

Sylvain Pelissier, Mike Miller.

Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com .