Design de filtres numériques

FIR, IIR, fenêtrage, ondulations constantes, moindres carrés, Butterworth, Chebyshev, filtres elliptiques, mise en forme d’impulsion

Concevez des filtres numériques en utilisant comme point de départ un ensemble de spécifications (designfilt) ou un algorithme de design (butter, fir1). Générez des filtres de différenciation FIR et des filtres de Hilbert.

Applications

Filter Analyzer	View, analyze, and compare filters (depuis R2024a)
Filter Designer	Design filters starting with algorithm selection

Tâches du Live Editor

Design Filter

Design a digital filter in the Live Editor (depuis R2021b)

Fonctions

développer tout

Filtres IIR

`butter`	Design de filtres de Butterworth
`buttord`	Butterworth filter order and cutoff frequency
`cheby1`	Chebyshev Type I filter design
`cheb1ord`	Chebyshev Type I filter order
`cheby2`	Chebyshev Type II filter design
`cheb2ord`	Chebyshev Type II filter order
`designfilt`	Design digital filter
`ellip`	Elliptic filter design
`ellipord`	Minimum order for elliptic filters
`yulewalk`	Recursive digital filter design

Filtres FIR

`cfirpm`	Complex and nonlinear-phase equiripple FIR filter design
`designfilt`	Design digital filter
`fir1`	Design de filtres FIR avec des fenêtres
`fir2`	Frequency sampling-based FIR filter design
`fircls`	Constrained-least-squares FIR multiband filter design
`fircls1`	Constrained-least-squares linear-phase FIR lowpass and highpass filter design
`firls`	Least-squares linear-phase FIR filter design
`firpm`	Parks-McClellan optimal FIR filter design
`firpmord`	Parks-McClellan optimal FIR filter order estimation
`gaussdesign`	Gaussian FIR pulse-shaping filter design
`intfilt`	Interpolation FIR filter design
`kaiserord`	Kaiser window FIR filter design estimation parameters
`maxflat`	Generalized digital Butterworth filter design
`rcosdesign`	Raised cosine FIR pulse-shaping filter design
`sgolay`	Savitzky-Golay filter design

Utilitaires pour les filtres

`digitalFilter`	Digital filter
`double`	Cast coefficients of digital filter to double precision
`dspfwiz`	Create Simulink filter block using Realize Model panel
`filt2block`	Generate Simulink filter block
`filterAnalyzer`	Analyze filters with Filter Analyzer app (depuis R2024a)
`info`	Information about digital filter
`isdouble`	Determine if digital filter coefficients are double precision
`issingle`	Determine if digital filter coefficients are single precision
`polyscale`	Scale roots of polynomial
`polystab`	Stabilize polynomial
`scaleFilterSections`	Scale cascaded transfer functions with scale values (depuis R2023b)
`single`	Cast coefficients of digital filter to single precision

Rubriques

IIR Filter Design
This example compares classical Butterworth, Chebyshev, and elliptic designs; and explores Bessel, Yule-Walker, and generalized Butterworth filters.
FIR Filter Design
This example shows how to use windowing, least squares, or the Parks-McClellan algorithm to design lowpass, highpass, multiband, or arbitrary-response filters, differentiators, or Hilbert transformers.
Filter Implementation
Filter signals using the filter function.
Anti-Causal, Zero-Phase Filter Implementation
Eliminate the phase distortion introduced by an IIR filter.
Compensate for the Delay Introduced by an FIR Filter
Use indexing to counteract the time shifts introduced by filtering.
Compensate for the Delay Introduced by an IIR Filter
Remove delays and distortion introduced by filtering, when it is critical to keep phase information intact.
Take Derivatives of a Signal
Use a differentiator filter to differentiate a signal without amplifying the noise.
Filter Builder Design Process
filterBuilder is a graphical interface that speeds up the filter design process.
Generate Guitar Chords Using the Karplus-Strong Algorithm
Generate realistic guitar chords using the Karplus-Strong algorithm and discrete-time filters.

Informations connexes

Design de filtres dans MATLAB

Sélection d՚exemples

Practical Introduction to Digital Filter Design

Use the designfilt function to design FIR and IIR filters based on frequency response specifications.

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Practical Introduction to Digital Filtering

Design, analyze, and apply digital filters to remove unwanted content from a signal without distorting the data.

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Filter Design Gallery

Identify a filter response of interest, see how it is designed using the designfilt function, and use it in your own project.

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Teaching Resources

Traitement numérique du signal : signaux et design de filtres

Module de formation MathWorks qui enseigne les concepts clés du traitement du signal avec des applications et des live scripts interactifs