gauspuls: Gaussian-modulated sinusoidal RF pulse In gjmvanboxtel/gsignal: Signal Processing

Description

Generate a Gaussian modulated sinusoidal pulse sampled at times `t`.

Usage

 `1` ```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.

Details

`yi = gauspuls(t,fc,bw)` returns a unit-amplitude Gaussian-modulated sinusoidal RF pulse at the times indicated in array t, with a center frequency fc in hertz and a fractional bandwidth bw

Value

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

Note

The Octave `gauspuls` function differs from the function in the Matlab signal package. The Octave function does not use the `bwr` (fractional bandwidth reference level), the `tpe` (trailing pulse envelope level), and the `'cutoff'` input arguments. In addition, it only returns the inphase Gaussian pulse, not the quadrature pulse nor the signal envelope and cutoff time.

Author(s)

Original Matlab/Octave code Copyright (C) 2007 Sylvain Pelissier, Copyright (C) 2018-2019 Mike Miller. Port to R by Geert van Boxtel [email protected].

Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13``` ```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") ```

gjmvanboxtel/gsignal documentation built on Jan. 19, 2020, 3:52 a.m.