rectpuls — Generate sampled rectangular pulses.
rectpuls(T) returns samples of a unit-width rectangular pulse centered at zero. rectpuls(T, W) uses pulse width W.
Syntax
Y = rectpuls(T)
Y = rectpuls(T, W)Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
T | NumericArray | Yes | — | Sample times relative to the pulse center. |
W | NumericScalar | No | 1 | Pulse width. |
Returns
| Name | Type | Description |
|---|---|---|
Y | NumericArray | Rectangular pulse samples. |
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:rectpuls:InvalidInput | Input times cannot be interpreted as real numeric samples. | rectpuls: expected real numeric input |
RunMat:rectpuls:WidthInvalid | Width is not a positive finite scalar. | rectpuls: width must be a positive finite scalar |
RunMat:rectpuls:ArgCount | Too many input arguments are provided. | rectpuls: expected 1 or 2 arguments |
RunMat:rectpuls:InternalError | Internal tensor construction or GPU gather fails. | rectpuls: internal error |
How rectpuls works
- Operates element-wise on real numeric scalars, vectors, matrices, and N-D tensors; preserves input shape.
- Returns
1on the left-closed, right-open interval-W/2 <= T < W/2and0outside it, sorectpuls(-0.5)is1whilerectpuls(0.5)is0for the default width. - The width must be positive and finite.
- The documented sample-time classes are single and double. Typed-integer sample times and widths are independent RunMat-mode extensions, admitted only when their authoritative values are exactly representable at the binary64 waveform boundary.
- Complex and text inputs are rejected with a builtin-scoped error.
Examples
Default unit-width rectangular pulse
t = -0.5:0.25:0.5;
y = rectpuls(t)Expected output:
y = [1 1 1 1 0]Custom pulse width
t = -1:0.5:1;
y = rectpuls(t, 0.5)Expected output:
y = [0 0 1 0 0]Using rectpuls with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how rectpuls changes the result.
Run a small rectpuls example, explain the result, then change one input and compare the output.
FAQ
What happens at the exact pulse edge?⌄
The interval is left-closed and right-open: RunMat returns 1 at T == -W/2 and 0 at T == W/2.
Can rectpuls be used inside pulstran?⌄
Yes. pulstran(T, D, 'rectpuls', W) evaluates rectangular pulses centered at each delay.
Related Math functions
Signal
blackman · butter · buttord · cheb2ord · conv · conv2 · deconv · downsample · envelope · filter · filtfilt · fir1 · freqz · gauspuls · hamming · hann · hilbert · periodogram · pulstran · pwelch · resample · sawtooth · sinc · spectrogram · square · tripuls · unwrap · upsample · zplane
Elementwise
abs · angle · bsxfun · complex · conj · double · erf · erfcinv · exp · expm1 · factorial · flintmax · gamma · gammaln · heaviside · hypot · idivide · imag · intmax · intmin · ldivide · log · log10 · log1p · log2 · minus · nextpow2 · plus · pow2 · power · rdivide · real · realmax · realmin · realsqrt · rescale · sign · single · sqrt · swapbytes · times · typecast · uint16 · uint32 · uint8
Trigonometry
acos · acosh · asin · asinh · atan · atan2 · atanh · cos · cosd · cosh · cospi · deg2rad · pol2cart · rad2deg · sin · sind · sinh · sinpi · tan · tand · tanh
Reduction
all · any · bounds · cummax · cummin · cumprod · cumsum · cumtrapz · diff · gradient · max · maxk · mean · median · min · mink · movmax · movmean · movmedian · movmin · movprod · movstd · movsum · movvar · nnz · prod · rms · std · sum · trapz · var
Structure
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Optim
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Ops
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Open-source implementation
Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how rectpuls is executed, line by line, in Rust.
- View the source for rectpuls 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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