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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

pulstran(T, D, FUN, P1, ...)

How pulstran works

  • The output shape matches T.
  • Character, string, and function-handle pulse names are accepted. Built-in fast paths cover rectpuls, tripuls, and gauspuls; other function handles are invoked through the normal feval path.
  • 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.

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

Rounding

ceil · fix · floor · mod · rem · round

Factor

chol · eig · lu · qr · svd

Solve

cond · det · inv · linsolve · norm · null · pinv · rank · rcond · rref

Fft

fft · fft2 · fftshift · ifft · ifft2 · ifftshift

Interpolation

interp1 · interp2 · pchip · ppval · spline

Symbolic

limit · sym · syms

Ode

ode15s · ode23 · ode45

Open-source implementation

Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how pulstran is executed, line by line, in Rust.

About RunMat

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