pulstran — Generate pulse trains from named pulse functions, function handles, or sampled prototype pulses.
pulstran(T, D, FUN, P1, ...) evaluates a pulse function at T - D(k) for each delay and sums the results. D may be a delay vector or an N-by-2 delay/amplitude matrix. pulstran(T, D, P, FS) uses a sampled prototype pulse P with sample rate FS and linear interpolation.
Syntax
Y = pulstran(T, D, FUN, P1, ...)
Y = pulstran(T, D, P, FS)Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
T | NumericArray | Yes | — | Sample times. |
D | NumericArray | Yes | — | Pulse delays, or an N-by-2 delay/amplitude matrix. |
FUN | Any | Yes | — | Pulse function name or function handle. |
P | Any | Variadic | — | Additional pulse function parameters. |
P | NumericArray | Yes | — | Sampled prototype pulse. |
FS | NumericScalar | No | 1 | Prototype sample rate. |
Returns
| Name | Type | Description |
|---|---|---|
Y | NumericArray | Pulse train sampled at T. |
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:pulstran:InvalidInput | T, D, or sampled prototype inputs are not real numeric arrays. | pulstran: expected real numeric input |
RunMat:pulstran:InvalidDelay | Delay input is not a vector or N-by-2 delay/amplitude matrix. | pulstran: D must be a delay vector or N-by-2 delay/amplitude matrix |
RunMat:pulstran:InvalidPulse | Pulse function or sampled prototype is malformed. | pulstran: invalid pulse specification |
RunMat:pulstran:InvalidParameter | Pulse function parameters or sampled prototype rate are malformed. | pulstran: invalid pulse parameter |
RunMat:pulstran:ArgCount | Required arguments are missing or too many prototype arguments are provided. | pulstran: expected pulstran(T, D, FUN, ...) or pulstran(T, D, P, FS) |
RunMat:pulstran:InternalError | Internal tensor construction, callback result materialization, or GPU gather fails. | pulstran: internal error |
How pulstran works
- The output shape matches
T. - Character, string, and function-handle pulse names are accepted. Built-in fast paths cover
rectpuls,tripuls, andgauspuls; other function handles are invoked through the normalfevalpath. - A delay vector uses unit amplitude for every pulse.
- An N-by-2 delay matrix uses column one as delay and column two as amplitude.
- Sampled prototype pulses are linearly interpolated at
FS; samples outside the prototype support contribute zero. - Complex and text-valued numeric inputs are rejected with builtin-scoped errors.
Examples
Generate a rectangular pulse train
t = -1:0.5:1;
d = [-0.5 0.5];
y = pulstran(t, d, 'rectpuls', 0.25)Expected output:
y = [0 1 0 1 0]Use delay amplitudes
t = [0 1];
d = [0 2; 1 3];
y = pulstran(t, d, 'rectpuls', 0.25)Expected output:
y = [2 3]Use a sampled prototype
t = 0:0.5:2;
d = [0 1];
p = [0 1 0];
y = pulstran(t, d, p, 2)Expected output:
y = [0 1 0 1 0]Using pulstran with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how pulstran changes the result.
Run a small pulstran example, explain the result, then change one input and compare the output.
FAQ
Which pulse functions are recognized directly?⌄
rectpuls, tripuls, and gauspuls have direct built-in paths. Other function handles are dispatched through RunMat's regular function-handle mechanism.
Does pulstran preserve the orientation of T?⌄
Yes. The output tensor uses the same shape as T, including row-vector and column-vector orientation.
Related Math functions
Signal
blackman · butter · buttord · conv · conv2 · deconv · downsample · envelope · filter · filtfilt · fir1 · freqz · gauspuls · hamming · hann · hilbert · periodogram · pwelch · rectpuls · sawtooth · sinc · spectrogram · square · tripuls · unwrap · upsample · zplane
Elementwise
abs · angle · complex · conj · double · exp · expm1 · factorial · gamma · heaviside · hypot · imag · ldivide · log · log10 · log1p · log2 · minus · nextpow2 · plus · pow2 · power · rdivide · real · sign · single · sqrt · times
Trigonometry
acos · acosh · asin · asinh · atan · atan2 · atanh · cos · cosd · cosh · deg2rad · rad2deg · sin · sind · sinh · tan · tand · tanh
Reduction
all · any · cummax · cummin · cumprod · cumsum · cumtrapz · diff · gradient · max · mean · median · min · nnz · prod · std · sum · trapz · var
Structure
Open-source implementation
Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how pulstran is executed, line by line, in Rust.
- View the source for pulstran in Rust on GitHub
- Learn how the RunMat runtime works
- Found a bug? Open an issue with a minimal reproduction.
About RunMat
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