필터 설계

FIR 및 IIR 필터의 설계와 분석

DSP System Toolbox™ 함수, 앱, 블록을 사용하여 다양한 디지털 FIR 및 IIR 필터를 설계하고 분석할 수 있습니다. 이러한 필터 중 일부에는 나이퀴스트 필터, 반대역 필터, CIC 필터, 고급 등리플 필터, 준선형 위상 IIR 필터와 같은 고급 필터가 포함됩니다.

설계 기법은 필터 설계 사양을 기반으로 하여 필터 계수를 구합니다. Bandpass IIR Filter Design 및 Bandstop IIR Filter Design과 같은 특정 블록에는 조정 가능형 필터 사양이 있어 시뮬레이션이 실행되는 동안 필터의 사양을 변경하고 다시 설계할 수 있습니다.

앱

필터 작성기 Design filters starting with frequency and magnitude specifications (filterBuilder)

라이브 편집기 작업

필터 설계

Design a digital filter or implement a System object in the Live Editor (R2021b 이후)

함수

모두 확장

필터 설계 및 시각화 툴

`filterDesigner`	필터 디자이너 앱 열기
`filterBuilder`	Interactive filter design
`filterAnalyzer`	Analyze filters with Filter Analyzer app (R2024a 이후)
`designfilt`	Design a digital filter or implement a System object

fdesign 메서드

`butter`	버터워스 IIR 디지털 필터 설계
`cheby1`	사양 객체를 사용한 체비쇼프 유형 I 필터
`cheby2`	사양 객체를 사용한 체비쇼프 유형 II 필터
`design`	Apply design method to filter specification object
`designmethods`	Methods available for designing filter from specification object
`designoptions`	Show all options available for specified design
`designopts`	Valid input arguments and values for specification object and method
`ellip`	사양 객체를 사용한 타원 필터
`equiripple`	Equiripple single-rate FIR filter from specification object
`freqsamp`	Real or complex frequency-sampled FIR filter from specification object
`help`	Help for design method with filter specification
`setspecs`	Specifications for filter specification object
`validstructures`	Structures for specification object with design method

fdesign 객체

`fdesign`	Filter design specification object
`fdesign.bandpass`	Bandpass filter design specification object
`fdesign.bandstop`	Bandstop filter design specification object
`fdesign.highpass`	Highpass filter specification object
`fdesign.lowpass`	Lowpass filter specification
`fdesign.decimator`	Decimator filter specification object
`fdesign.interpolator`	Interpolator filter specification
`fdesign.rsrc`	Rational-factor sample-rate converter specification
`fdesign.arbgrpdelay`	Arbitrary group delay filter specification object
`fdesign.arbmag`	Arbitrary response magnitude filter specification object
`fdesign.arbmagnphase`	Arbitrary response magnitude and phase filter specification object
`fdesign.ciccomp`	CIC compensator filter specification object
`fdesign.comb`	IIR comb filter specification object
`fdesign.differentiator`	Differentiator filter specification object
`fdesign.fracdelay`	Fractional delay filter specification object
`fdesign.halfband`	Halfband filter specification object
`fdesign.hilbert`	Hilbert filter specification object
`fdesign.isinchp`	Inverse sinc highpass filter specification
`fdesign.isinclp`	Inverse sinc lowpass filter specification
`fdesign.notch`	Notch filter specification
`fdesign.nyquist`	Nyquist filter specification
`fdesign.peak`	Peak filter specification
`fdesign.polysrc`	Construct polynomial sample-rate converter (POLYSRC) filter designer

FIR 필터 설계 및 구현

`designLowpassFIR`	Design and implement lowpass FIR filter (R2023b 이후)
`designHighpassFIR`	Design and implement highpass FIR filter (R2023b 이후)
`designBandpassFIR`	Design and implement bandpass FIR filter (R2023b 이후)
`designBandstopFIR`	Design and implement bandstop FIR filter (R2023b 이후)
`designHalfbandFIR`	Design and implement halfband FIR filter (R2023b 이후)
`designMultirateFIR`	Design and implement antialiasing and anti-imaging lowpass FIR filter
`designMultistageDecimator`	Multistage decimator design
`designMultistageInterpolator`	Multistage interpolator design
`designRateConverter`	Design multistage bandlimited sample rate converter System object (R2024b 이후)

FIR 필터 설계

`designFracDelayFIR`	Design and implement band-limited fractional delay FIR filter (R2021a 이후)
`fircband`	Constrained-band equiripple FIR filter
`firceqrip`	Constrained equiripple FIR filter
`fireqint`	Equiripple FIR interpolators
`firgr`	Parks-McClellan FIR filter
`firlpnorm`	Least P-norm optimal FIR filter
`firls`	Least-square linear-phase FIR filter design
`firminphase`	Minimum-phase FIR spectral factor
`firnyquist`	Lowpass Nyquist (Lth-band) FIR filter
`firpr2chfb`	Two-channel FIR filter bank for perfect reconstruction
`ifir`	Interpolated FIR filter design
`normalizefreq`	Switch filter specification between normalized frequency and absolute frequency

IIR 필터 설계

`designLowpassIIR`	Design and implement lowpass IIR filter (R2023b 이후)
`designHighpassIIR`	Design and implement highpass IIR filter (R2023b 이후)
`designBandpassIIR`	Design and implement bandpass IIR filter (R2023b 이후)
`designBandstopIIR`	Design and implement bandstop IIR filter (R2023b 이후)
`designHalfbandIIR`	Design and implement halfband IIR filter in the form of a coupled allpass filter (R2023b 이후)
`designNotchPeakIIR`	Design and implement high-order Butterworth notch or peak IIR filter (R2023b 이후)
`ca2tf`	Convert coupled allpass filter to transfer function form
`cl2tf`	Convert coupled allpass lattice to transfer function form
`iircomb`	IIR comb notch or peak filter
`iirgrpdelay`	Optimal IIR filter with prescribed group-delay
`iirlpnorm`	Least P-norm optimal IIR filter
`iirlpnormc`	Constrained least Pth-norm optimal IIR filter
`normalizefreq`	Switch filter specification between normalized frequency and absolute frequency

객체

모두 확장

싱글레이트

`dsp.Differentiator`	Direct form FIR fullband differentiator filter
`dsp.HampelFilter`	Filter outliers using Hampel identifier
`dsp.HighpassFilter`	FIR or IIR highpass filter
`dsp.LowpassFilter`	FIR or IIR lowpass filter
`dsp.MedianFilter`	Median filter
`dsp.NotchPeakFilter`	Second-order tunable notching and peaking IIR filter
`dsp.VariableBandwidthFIRFilter`	Variable bandwidth FIR filter
`dsp.VariableBandwidthIIRFilter`	Variable bandwidth IIR filter

멀티레이트

`dsp.CICCompensationDecimator`	Compensate for CIC decimation filter using FIR decimator
`dsp.CICCompensationInterpolator`	Compensate for CIC interpolation filter using FIR interpolator
`dsp.FIRHalfbandDecimator`	Decimate signal using polyphase FIR halfband filter
`dsp.FIRHalfbandInterpolator`	Interpolate signal using polyphase FIR halfband filter
`dsp.IIRHalfbandDecimator`	Decimate by factor of two using polyphase IIR
`dsp.IIRHalfbandInterpolator`	Interpolate by a factor of two using polyphase IIR

블록

모두 확장

필터 설계 및 시각화 툴

Analog Filter Design	Design and implement analog filters
Digital Filter Design	Design and implement digital FIR and IIR filters
Filter Realization Wizard	(To be removed) Construct filter realizations using digital filter blocks or Sum, Gain, and Delay blocks

필터 설계 소스

Lowpass FIR Filter Design	Design lowpass FIR filter with tunable filter specifications (R2023b 이후)
Lowpass IIR Filter Design	Design lowpass IIR filter with tunable filter specifications (R2023b 이후)
Highpass FIR Filter Design	Design highpass FIR filter with tunable filter specifications (R2023b 이후)
Highpass IIR Filter Design	Design highpass IIR filter with tunable filter specifications (R2023b 이후)
Bandpass FIR Filter Design	Design bandpass FIR filter with tunable filter specifications (R2023b 이후)
Bandpass IIR Filter Design	Design bandpass IIR filter with tunable filter specifications (R2023a 이후)
Bandstop FIR Filter Design	Design bandstop FIR filter with tunable filter specifications (R2023b 이후)
Bandstop IIR Filter Design	Design bandstop IIR filter with tunable filter specifications (R2023a 이후)

싱글레이트

Differentiator Filter	Direct form FIR fullband differentiator filter
Hampel Filter	Filter outliers using Hampel identifier
Highpass Filter	Design FIR or IIR highpass filter
Lowpass Filter	Design FIR or IIR lowpass filter
Median Filter	Median filter
Notch-Peak Filter	Design second-order tunable notching and peaking IIR filter
Variable Bandwidth FIR Filter	Design tunable bandwidth FIR filter
Variable Bandwidth IIR Filter	Design tunable bandwidth IIR filter

도움말 항목

Using Filter Designer
Use Filter Designer as a powerful yet convenient graphical tool to design and analyze filters.
Design a Filter in Fdesign — Process Overview
Learn how to analyze, design, and implement filters in MATLAB^® and Simulink^®.
Filter Builder Design Process
filterBuilder GUI.
Use Filter Designer with DSP System Toolbox Software
Presents a detailed reference covering the fixed-point, multirate, and scaling pages of the Filter Designer App.
Lowpass FIR Filter Design
This example shows how to design a lowpass FIR filter using fdesign.
Lowpass Filter Design in MATLAB
This example shows how to design lowpass filters.
Controlling Design Specifications in Lowpass FIR Design
This example shows how to control the filter order, passband ripple, stopband attenuation, and transition region width of a lowpass FIR filter.
Minimax FIR Filter Design
This example shows how to use some of the key features of the generalized Remez FIR filter design function.
Designing Filters with Non-Equiripple Stopband
This example shows how to design lowpass filters with stopbands that are not equiripple.
Design and Implement a Filter
Design a digital lowpass filter and incorporate it into your model to simulate the presence of low frequency noise.
Minimizing Lowpass FIR Filter Length
This example shows how to minimize the number coefficients, by designing minimum-phase or minimum-order filters.
References — Advanced Filters
Suggested reading and sources for advanced filter design topics.

추천 예제

IIR Halfband Stages in Multistage Filter Design

Discusses IIR halfband stages in multistage decimators and interpolators.

라이브 스크립트 열기

Classic IIR Filter Design

Design classic IIR filters. The example initially focuses on the scenario where critical design parameter is the cutoff frequency at which the power of the filter decays to half (–3 dB) the nominal passband value.

라이브 스크립트 열기

Design Peak and Notch Filters

Design peak and notch filters. Filters that peak or notch at a certain frequency retain or eliminate a particular frequency component of a signal. The design parameters that you can set for such filters are the frequency at which you want the peak or notch and the 3-dB bandwidth or the Q factor. Using these specifications and by increasing the filter order, you can design filters that more closely approximate an ideal filter.

라이브 스크립트 열기

Arbitrary Magnitude and Phase Filter Design

Design filters with customized magnitude and phase specifications. Many filter design problems focus on the magnitude response only, while assuming a linear phase response through symmetry. In some cases, however, the desired filter needs to satisfy constraints on both magnitude and phase.

라이브 스크립트 열기

Least Pth-Norm Optimal FIR Filter Design

Design least Pth-norm FIR filters with the firlpnorm function. This function uses a least-Pth unconstrained optimization algorithm to design FIR filters with arbitrary magnitude response.

라이브 스크립트 열기

Least Pth-Norm Optimal IIR Filter Design

Design optimal IIR filters with arbitrary magnitude response using the least-Pth unconstrained optimization algorithm.

라이브 스크립트 열기

FIR Nyquist (L-th band) Filter Design

Design lowpass FIR Nyquist filters. It also compares these filters with raised cosine and square root raised cosine filters. These filters are widely used in pulse-shaping for digital transmission systems. They also find application in interpolation/decimation and filter banks.

라이브 스크립트 열기

Design of Decimators and Interpolators

Design filters for decimation and interpolation of discrete sequences.

라이브 스크립트 열기

IIR Filter Design Given a Prescribed Group Delay

Design arbitrary group delay filters using the fdesign.arbgrpdelay filter designer. This designer uses a least-Pth constrained optimization algorithm to design allpass IIR filters that meet a prescribed group delay.

라이브 스크립트 열기

Fractional Delay Filters Using Farrow Structures

Use Farrow structures to design digital fractional delay filters. Digital fractional delay filters are useful tools to fine-tune the sampling instants of signals. They are typically found in the synchronization of digital modems where the delay parameter varies over time. This example illustrates why the Farrow structure is a popular method for implementing time-varying FIR fractional delay filters.

라이브 스크립트 열기

Design Fractional Delay FIR Filters

Design an implementation of fractional delay FIR filters.

라이브 스크립트 열기