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Reference Guide for OpenMatrix Language Functions
The Reference Guide contains documentation for all functions supported in the OpenMatrix language.
Signal Processing Commands
ellipap
Create a normalized Elliptic analog lowpass prototype filter in zero-pole-gain form.

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- Scripting Guide for OpenMatrix Language
  OpenMatrix is a mathematical scripting language.
- Reference Guide for OpenMatrix Language Functions
  The Reference Guide contains documentation for all functions supported in the OpenMatrix language.
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    - barthannwin
      Bartlett-Hann window.
    - bessel3ap
      Create a normalized Bessel analog lowpass prototype filter in zero-pole-gain form.
    - besselap
      Create a normalized Bessel analog lowpass prototype filter in zero-pole-gain form.
    - besself
      Create a Bessel filter.
    - besself3
      Create a Bessel filter.
    - blackman
      Blackman window.
    - buttap
      Create a normalized Butterworth analog lowpass prototype filter in zero-pole-gain form.
    - butter
      Create a Butterworth filter.
    - buttord
      Design a Butterworth filter.
    - cheb1ap
      Create a normalized Chebyshev I analog lowpass prototype filter in zero-pole-gain form.
    - cheb2ap
      Create a normalized Chebyshev II analog lowpass prototype filter in zero-pole-gain form.
    - cheb1ord
      Design a Chebyshev I filter.
    - cheb2ord
      Design a Chebyshev II filter.
    - chebwin
      Dolph-Chebyshev window.
    - cheby1
      Create a Chebyshev I filter.
    - cheby2
      Create a Chebyshev II filter.
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      Generate a chirp signal.
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      Generate a complex Morlet wavelet.
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      Compute cross power spectral density.
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      Downsample a signal.
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      Acoustic A-weighting function.
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      Acoustic B-weighting function.
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      Acoustic C-weighting function.
    - dbu
      Acoustic U-weighting function.
    - diric
      Generate the Dirichlet function.
    - ellip
      Create an Elliptic filter.
    - ellipap
      Create a normalized Elliptic analog lowpass prototype filter in zero-pole-gain form.
    - ellipord
      Design an Elliptic filter.
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      Fast Fourier Transform.
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      Two Dimensional Fast Fourier Transform.
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      N dimensional fast Fourier transform (FFT).
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      Determine the initial state condition of an IIR filter, given the input and output signal histories.
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      Locate the peaks of a signal.
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      Create a digital FIR filter.
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      Create a digital FIR multi-band filter with a least squares fitting.
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      Create one-sided spectrum amplitude vectors from the two-sided equivalents.
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      Generate a vector of frequency locations.
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      Compute analog filter frequency response values.
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      Compute digital filter frequency response values.
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      Generate a sampled Gaussian modulated sinusoidal pulse centered at zero, with a specified center frequency and fractional bandwidth.
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      Generate a sampled Gaussian monopulse.
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      Compute digital filter group delay values.
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      Hamming window.
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      Hann window.
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      Hilbert transform.
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      Inverse Fast Fourier transform.
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      Two-dimensional inverse fast Fourier transform.
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      N dimensional inverse fast Fourier transform.
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      Shift frequency spectrum related vectors to uncenter the dc element to the first position.
    - impz
      Compute the impulse response of a digital filter.
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      Compute analog filter coefficients from frequency response values.
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      Compute digital filter coefficients from frequency response values.
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      Inverse Short-Time Fourier Transform.
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      Kaiser-Bessel window.
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      Applies a moving median filter in one dimension.
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      Generate a Mexican hat wavelet.
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      Generate a Meyer auxiliary wavelet.
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      Estimates the mean squared coherence of time domain signals.
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      Generate a Morlet wavelet.
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      Parzen window.
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      Compute signal maximum to minimum differences.
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      Compute signal peak to rms ratios.
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      Generate a pulse train, with the pulse defined either by a function or a sampled pulse.
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      Computes the power spectral density.
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      Generate a sampled rectangular pulse centered at zero, with a specified width.
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      Resample a real signal by a rational factor using a polyphase FIR filter.
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      Compute root sum squared values.
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      Generate a sawtooth wave with range [-1,1] and period 2*pi.
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      Generate a complex Shannon wavelet.
    - shiftdata
      Transfer a designated matrix dimension to the lead position.
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      Filter a real signal with a second order section IIR filter.
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      Generate a square wave with range [-1,1] and period 2*pi.
    - sinc
      Compute the sinc function.
    - stft
      Short-Time Fourier Transform.
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      Spectrogram.
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      Generate a stair step plot.
    - tfestimate
      Estimates the transfer function from time domain signals.
    - tripuls
      Generate a sampled triangular pulse centered at zero, with a specified width and skew.
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      Convert quantized integer matrix elements to floating-point values.
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      Quantize real matrix elements to integer values.
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      Revert the order of matrix dimensions modified by shiftdata.
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      Unwrap a vector of phase angles.
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      Upsample a signal.
    - welchwin
      Welch window.
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      Cross correlation, computed over a range of lags.
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      Cross covariance, computed over a range of lags.
    - zplane
      Plot zeros and poles of a discrete transfer function.
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ellipap

Create a normalized Elliptic analog lowpass prototype filter in zero-pole-gain form.

Syntax

[z,p,k] = ellipap(n, Rp, Rs)

Inputs

n: The filter order.; Type: integer; Dimension: scalar
Rp: The maximum attenuation in decibels in the passband, at 1 rad/sec.; Type: double; Dimension: scalar
Rs: The minimum attenuation in decibels in the stopband.; Type: double; Dimension: scalar

Outputs

z: The zeros of the filter.; Type: vector; The vector length will be one less than the number of poles when the filter order is odd.
p: The poles of the filter.; Type: vector
k: The gain factor.; Type: scalar

Examples

Create a fourth order Elliptic analog prototype filter, with 1 dB attenuation in the pass band and 20 dB attenuation in the stop band.

[z,p,k] = ellipap(4, 1, 20)

z = [Matrix] 4 x 1
0.00000 + 1.12431i
0.00000 + 2.03909i
0.00000 - 2.03909i
0.00000 - 1.12431i
p = [Matrix] 4 x 1
-0.05161 + 1.00365i
-0.40028 + 0.65090i
-0.40028 - 0.65090i
-0.05161 - 1.00365i
k = 0.1