pulstran

Signal Processing Toolbox

Pulse train generator.

y = pulstran(t,d,'func')
y = pulstran(t,d,'func',p1,p2,)
y = pulstran(t,d,p,Fs)
y = pulstran(t,d,p)

Description

pulstran

generates pulse trains from continuous functions or sampled prototype pulses.

y = pulstran(t,d,'func')

generates a pulse train based on samples of a continuous function, 'func', where func is

gauspuls, for Gaussian-modulated sinusoidal pulse generator
rectpuls, for sampled aperiodic rectangle generator
tripuls, for sampled aperiodic triangle generator

pulstran is evaluated length(d) times and returns the sum of the evaluations y = func(t-d(1)) + func(t-d(2)) + ....

The function is evaluated over the range of argument values specified in array t, after removing a scalar argument offset taken from the vector d. Note that func must be a vectorized function that can take an array t as an argument.

An optional gain factor may be applied to each delayed evaluation by specifying d as a two-column matrix, with the offset defined in column 1 and associated gain in column 2 of d. Note that a row vector will be interpreted as specifying delays only.

pulstran(t,d,'func',p1,p2,...)

allows additional parameters to be passed to 'func' as necessary. For example,

func(t-d(1),p1,p2,...) + func(t-d(2),p1,p2,...) + ...

pulstran(t,d,p,Fs)

generates a pulse train that is the sum of multiple delayed interpolations of the prototype pulse in vector p, sampled at the rate Fs, where p spans the time interval [0, (length(p)-1)/Fs], and its samples are identically 0 outside this interval. By default, linear interpolation is used for generating delays.

pulstran(t,d,p)

assumes that the sampling rate Fs is equal to 1 Hz.

pulstran(..., 'func')

specifies alternative interpolation methods. See interp1 for a list of available methods.

Examples

This example generates an asymmetric sawtooth waveform with a repetition frequency of 3 Hz and a sawtooth width of 0.1 sec. It has a signal length of 1 sec and a 1 kHz sample rate:

t = 0 : 1/1e3 : 1;         % 1 kHz sample freq for 1 sec 
d = 0 : 1/3 : 1;            % 3 Hz repetition freq 
y = pulstran(t,d,'tripuls',0.1,-1);
plot(t,y)

This example generates a periodic Gaussian pulse signal at 10 kHz, with 50% bandwidth. The pulse repetition frequency is 1 kHz, sample rate is 50 kHz, and pulse train length is 10 msec. The repetition amplitude should attenuate by 0.8 each time:

t = 0 : 1/50E3 : 10e-3;
d = [0 : 1/1E3 : 10e-3 ; 0.8.^(0:10)]';
y = pulstran(t,d,'gauspuls',10e3,0.5); 
plot(t,y)

This example generates a train of 10 Hamming windows:

p = hamming(32);
t = 0:320; d = (0:9)'*32;
y = pulstran(t,d,p);
plot(t,y)

`chirp`	Swept-frequency cosine generator.
`cos`	Cosine of vector/matrix elements (see MATLAB Function Reference).
`diric`	Dirichlet or periodic sinc function.
`gauspuls`	Gaussian-modulated sinusoidal pulse generator.
`rectpuls`	Sampled aperiodic rectangle generator.
`sawtooth`	Sawtooth or triangle wave generator.
`sin`	Sine of vector/matrix elements (see MATLAB Function Reference).
`sinc`	Sinc or sin(t)/t function.
`square`	Square wave generator.
`tripuls`	Sampled aperiodic triangle generator.