Design de filtres numériques

R2026b

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 by choosing algorithm or specifying constraints

Tâches du Live Editor

Design Filter

Design a digital filter in the Live Editor

Fonctions

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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

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

Utilitaires pour les filtres

`digitalFilter`	Digital filter
`double`	Cast coefficients of digital filter to double precision
`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)
`setSampleRate`	Set sample rate of digital filter (depuis R2026a)
`single`	Cast coefficients of digital filter to single precision

Réponses des filtres

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Réponses FIR

Lowpass FIR	Design lowpass finite impulse response filter
Highpass FIR	Design highpass finite impulse response filter
Bandpass FIR	Design bandpass finite impulse response filter
Bandstop FIR	Design bandstop finite impulse response filter
Complex Lowpass FIR	Design complex lowpass finite impulse response filter
Complex Highpass FIR	Design complex highpass finite impulse response filter
Differentiator FIR	Design differentiator finite impulse response filter
Hilbert FIR	Design Hilbert finite impulse response filter
Arbitrary Response FIR	Design finite impulse response filter of arbitrary response

Réponses IIR

Lowpass IIR	Design lowpass infinite impulse response filter
Highpass IIR	Design highpass infinite impulse response filter
Bandpass IIR	Design bandpass infinite impulse response filter
Bandstop IIR	Design bandstop infinite impulse response filter

Rubriques

Use Filter Designer App

Import or create filters, design, inspect, and export filter designs.
- ÉTAPE 1: Import or Create Filters
- ÉTAPE 2: Design Filters
- ÉTAPE 3: Quantize Filters
- ÉTAPE 4: Manage and Analyze Filters
- ÉTAPE 5: Export and Share Filters
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.
Filter Design Assistant
Design filters using designfilt when you provide incorrect specifications.
Cascaded Transfer Functions
Use cascaded transfer functions to represent digital filters.
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.
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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Ressources pédagogiques

Digital Signal Processing: Signals and Filter Design courseware module

Traitement numérique du signal : signaux et design de filtres

Découvrir les concepts liés aux signaux analogiques et numériques, aux filtres et designs de filtres, et appliquer vos connaissances pour créer une application de filtrage.