gauspuls — Generate Gaussian-modulated sinusoidal pulses.
gauspuls(T) evaluates a Gaussian-modulated cosine pulse. Optional FC, BW, and BWR arguments control carrier frequency, fractional bandwidth, and bandwidth reference level. [YI, YQ, YE] = gauspuls(T, FC, BW, BWR) also returns quadrature samples and the Gaussian envelope. gauspuls('cutoff', FC, BW, BWR, TPE) returns the cutoff time where the envelope reaches TPE dB.
Syntax
Y = gauspuls(T)
[YI, YQ, YE] = gauspuls(T, FC, BW, BWR)
TC = gauspuls("cutoff", FC, BW, BWR, TPE)Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
T | NumericArray | Yes | — | Sample times. |
FC | NumericScalar | No | 1000 | Carrier frequency in Hz. |
BW | NumericScalar | No | 0.5 | Fractional bandwidth. |
BWR | NumericScalar | No | -6 | Bandwidth reference level in dB. |
mode | StringScalar | Yes | — | `"cutoff"` requests cutoff time. |
TPE | NumericScalar | No | -60 | Trailing pulse envelope level in dB. |
Returns
| Name | Type | Description |
|---|---|---|
YI | NumericArray | In-phase Gaussian pulse samples. |
YQ | NumericArray | Quadrature Gaussian pulse samples. |
YE | NumericArray | Gaussian pulse envelope samples. |
TC | NumericScalar | Cutoff time where the envelope reaches TPE dB. |
Returned values from gauspuls depend on how many outputs the caller requests.
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:gauspuls:InvalidInput | Input times cannot be interpreted as real numeric samples. | gauspuls: expected real numeric input |
RunMat:gauspuls:InvalidParameter | Frequency, bandwidth, reference level, or cutoff level is malformed. | gauspuls: invalid parameter |
RunMat:gauspuls:ArgCount | Too many input arguments are provided. | gauspuls: expected gauspuls(T, FC, BW, BWR) or gauspuls("cutoff", FC, BW, BWR, TPE) |
RunMat:gauspuls:InternalError | Internal tensor construction or GPU gather fails. | gauspuls: internal error |
How gauspuls works
- Operates element-wise on real numeric scalars, vectors, matrices, and N-D tensors; preserves input shape.
- One output returns the in-phase cosine component; three requested outputs return in-phase, quadrature, and envelope arrays.
- Defaults are
FC = 1000,BW = 0.5, andBWR = -6. - Carrier frequency and bandwidth must be positive finite scalars.
- Bandwidth reference and cutoff envelope levels must be negative finite scalars.
- Complex inputs are rejected with a builtin-scoped error.
Examples
Evaluate a Gaussian pulse
t = -0.001:0.001:0.001;
y = gauspuls(t, 1000, 0.5, -6)Return in-phase, quadrature, and envelope samples
t = 0:0.00025:0.001;
[yi, yq, ye] = gauspuls(t, 1000, 0.5, -6)Compute cutoff time
tc = gauspuls('cutoff', 1000, 0.5, -6, -60)Using gauspuls with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how gauspuls changes the result.
Run a small gauspuls example, explain the result, then change one input and compare the output.
FAQ
Can gauspuls be used inside pulstran?⌄
Yes. pulstran(T, D, 'gauspuls', FC, BW, BWR) evaluates Gaussian pulses centered at each delay.
Related Math functions
Signal
blackman · butter · buttord · cheb2ord · conv · conv2 · deconv · downsample · envelope · filter · filtfilt · fir1 · freqz · hamming · hann · hilbert · periodogram · pulstran · pwelch · rectpuls · 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
bandwidth · isdiag · ishermitian · issymmetric · istril · istriu · symrcm
Optim
coneprog · fminbnd · fminunc · fsolve · fzero · integral · linprog · lsqcurvefit · lsqnonlin · optimoptions · optimset · quad · secondordercone
Ops
cross · ctranspose · dot · mldivide · mpower · mrdivide · mtimes · pagemtimes · pagetranspose · trace · transpose
Open-source implementation
Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how gauspuls is executed, line by line, in Rust.
- View the source for gauspuls in Rust on GitHub
- Learn how the RunMat runtime works
- Found a bug? Open an issue with a minimal reproduction.
About RunMat
RunMat is an open-source runtime that executes MATLAB-syntax code blazing on any GPU. It is licensed under the Apache 2.0 license.
- RunMat automatically optimizes your math for GPU execution on Apple, Nvidia, and AMD hardware. No code changes needed. Simulations that took hours now take minutes.
- Start running code in seconds. RunMat runs in the browser, on the desktop, or from the CLI. No license server, no IT ticket.