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2024.1.0 - English


Signal Processing

  • Convolution - Correlation
    • convdiscrete 1-D convolution.
    • conv2discrete 2-D convolution.
    • convolconvolution
    • convol2ddiscrete 2-D convolution, using fft.
    • corrcorrelation, covariance
    • hankcovariance to hankel matrix
    • xcorrComputes discrete auto or cross correlation
  • Filters
    • How to design an elliptic filterHow to design an elliptic filter (analog and digital)
    • analpfcreate analog low-pass filter
    • buttmagPower transmission of a Butterworth filter
    • casccascade realization of filter from coefficients (utility function)
    • cheb1magresponse of Chebyshev type 1 filter
    • cheb2magresponse of type 2 Chebyshev filter
    • ell1magmagnitude of elliptic filter
    • eqfirminimax approximation of FIR filter
    • eqiirDesign of iir filters
    • faurrefilter computation by simple Faurre algorithm
    • ffiltcoefficients of FIR low-pass
    • filt_sincsamples of sinc function
    • filterfilters a data sequence using a digital filter
    • find_freqparameter compatibility for elliptic filter design
    • frmagmagnitude of FIR and IIR filters
    • fsfirlindesign of FIR, linear phase filters, frequency sampling technique
    • groupgroup delay for digital filter
    • hilbertDiscrete-time analytic signal computation of a real signal using Hilbert transform
    • iiriir digital filter
    • iirgroupgroup delay Lp IIR filter optimization
    • iirlpLp IIR filter optimization
    • kalmKalman update
    • levYule-Walker equations (Levinson's algorithm)
    • levinToeplitz system solver by Levinson algorithm (multidimensional)
    • lindquistLindquist's algorithm
    • remezRemez exchange algorithm for the weighted chebyshev approximation of a continuous function with a sum of cosines.
    • remezbMinimax approximation of magnitude response
    • sgolaySavitzky-Golay Filter Design
    • sgolaydiffNumerical derivatives computation using Savitzky-Golay filter.
    • sgolayfiltFilter signal using Savitzky-Golay Filter.
    • srfaursquare-root algorithm
    • srkfsquare root Kalman filter
    • sskfsteady-state Kalman filter
    • syrediDesign of iir filters, syredi code interface
    • systemobservation update
    • translow-pass to other filter transform
    • wfirlinear-phase FIR filters
    • wfir_guiGraphical user interface that can be used to interactively design wfir filters
    • wienerWiener estimate
    • wigner'time-frequency' wigner spectrum
    • windowcompute symmetric window of various type
    • yulewalkleast-square filter design
    • zpbuttButterworth analog filter
    • zpch1Chebyshev analog filter
    • zpch2Chebyshev analog filter
    • zpelllowpass elliptic filter
  • Identification
    • frfitfrequency response fit
    • lattnrecursive solution of normal equations
    • lattpIdentification of MA part of a vector ARMA process
    • mrfitfrequency response fit
    • phcMarkovian representation
    • rpemRecursive Prediction-Error Minimization estimation
  • Spectral estimation
    • cepstrumcepstrum calculation
    • cspecttwo sided cross-spectral estimate between 2 discrete time signals using the correlation method
    • cztchirp z-transform algorithm
    • mesemaximum entropy spectral estimation
    • pspecttwo sided cross-spectral estimate between 2 discrete time signals using the Welch's average periodogram method.
  • Transforms
    • dctDiscrete cosine transform.
    • dstDiscrete sine transform.
    • fftDirect or inverse Fast Fourier Transform of a vector, matrix, or hypermatrix
    • fft2two-dimension fast Fourier transform
    • fftshiftrearranges the fft output, moving the zero frequency to the center of the spectrum
    • hilbFIR approximation to a Hilbert transform filter
    • ifftshiftinverse of fftshift
  • biltbilinear or biquadratic transform SISO system given by a zero/poles representation
  • detrendremove constant, linear or piecewise linear trend from a vector
  • intdecChanges sampling rate of a signal
  • unwrapunwrap a Y(x) profile or a Z(x,y) surface. Unfold a Y(x) profile
  • xcovComputes discrete auto or cross covariance
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Last updated:
Mon Jun 17 17:49:16 CEST 2024