Linear filter

linearlinear filtersfilterfilter maskLTIfiltersfrequency responseslinear analogue passive filterstransfer function
Linear filters process time-varying input signals to produce output signals, subject to the constraint of linearity.wikipedia
109 Related Articles

Filter (signal processing)

filterfiltersfiltering
Most filters implemented in analog electronics, in digital signal processing, or in mechanical systems are classified as causal, time invariant, and linear signal processing filters.
linear or non-linear

Linearity

linearlinearlycomplex linear
Linear filters process time-varying input signals to produce output signals, subject to the constraint of linearity.
Others are linear filters, linear regulators, and linear amplifiers in general.

Equalization (audio)

equalizationequalizerEQ
An equalization filter is not designed to fully pass or block any frequency, but instead to gradually vary the amplitude response as a function of frequency: filters used as pre-emphasis filters, equalizers, or tone controls are good examples.
In sound recording and reproduction, equalization is the process commonly used to alter the frequency response of an audio system using linear filters.

Bessel filter

BesselBessel electronic filterstime-delay networks
A Bessel filter (not shown) has an even poorer transition in the frequency domain, but maintains the best phase fidelity of a waveform.
In electronics and signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group/phase delay (maximally linear phase response), which preserves the wave shape of filtered signals in the passband.

Matched filter

matched filteringmatched-filteringNorth filters
They can easily be designed to give a matched filter for any arbitrary pulse shape.
The matched filter is the optimal linear filter for maximizing the signal-to-noise ratio (SNR) in the presence of additive stochastic noise.

Wiener filter

WienerWiener–Kolmogorov filterWiener filtering
Wiener filter
In signal processing, the Wiener filter is a filter used to produce an estimate of a desired or target random process by linear time-invariant (LTI) filtering of an observed noisy process, assuming known stationary signal and noise spectra, and additive noise.

Prototype filter

prototypeimpedance scalingfrequency transformations
Prototype filter
They are most often seen in regard to electronic filters and especially linear analogue passive filters.

Gabor filter

Gabor filtersGabor filtersGabor model
Gabor filter
In image processing, a Gabor filter, named after Dennis Gabor, is a linear filter used for texture analysis, which means that it basically analyzes whether there are any specific frequency content in the image in specific directions in a localized region around the point or region of analysis.

Digital biquad filter

2-pole IIR filter sectionsBiquad filterbiquad sections
Typically digital IIR filters are designed as a series of digital biquad filters.
In signal processing, a digital biquad filter is a second-order recursive linear filter, containing two poles and two zeros.

Audio filter

filterfiltersfiltering
An equalization filter is not designed to fully pass or block any frequency, but instead to gradually vary the amplitude response as a function of frequency: filters used as pre-emphasis filters, equalizers, or tone controls are good examples.
Linear filter

Filter design

filter theorydesigndesigned
Filter design
The design of linear analog filters is for the most part covered in the linear filter section.

Analogue electronics

analoganalog circuitanalogue
Most filters implemented in analog electronics, in digital signal processing, or in mechanical systems are classified as causal, time invariant, and linear signal processing filters.

Digital signal processing

DSPsignal processingdigital signal processing (DSP)
Most filters implemented in analog electronics, in digital signal processing, or in mechanical systems are classified as causal, time invariant, and linear signal processing filters.

Causality

causalcausationcause and effect
Most filters implemented in analog electronics, in digital signal processing, or in mechanical systems are classified as causal, time invariant, and linear signal processing filters.

Statistics

statisticalstatistical analysisstatistician
The general concept of linear filtering is also used in statistics, data analysis, and mechanical engineering among other fields and technologies.

Data analysis

data analyticsanalysisdata analyst
The general concept of linear filtering is also used in statistics, data analysis, and mechanical engineering among other fields and technologies.

Mechanical engineering

mechanical engineermechanicalmechanical engineers
The general concept of linear filtering is also used in statistics, data analysis, and mechanical engineering among other fields and technologies.

Linear time-invariant system

linear time-invariantLTIlinear time invariant
A linear time-invariant (LTI) filter can be uniquely specified by its impulse response h, and the output of any filter is mathematically expressed as the convolution of the input with that impulse response.

Impulse response

impulseImpulse Response Functionsimpulse-response function.
A linear time-invariant (LTI) filter can be uniquely specified by its impulse response h, and the output of any filter is mathematically expressed as the convolution of the input with that impulse response.

Frequency response

frequency response functionfrequencyresponse function
The frequency response, given by the filter's transfer function H(\omega), is an alternative characterization of the filter.

Transfer function

transfertransfer characteristicchannel transfer function
The frequency response, given by the filter's transfer function H(\omega), is an alternative characterization of the filter.

Phase (waves)

phasephase shiftout of phase
Typical filter design goals are to realize a particular frequency response, that is, the magnitude of the transfer function |H(\omega)|; the importance of the phase of the transfer function varies according to the application, inasmuch as the shape of a waveform can be distorted to a greater or lesser extent in the process of achieving a desired (amplitude) response in the frequency domain.

Signal

signalselectrical signalelectrical signals
The frequency response may be tailored to, for instance, eliminate unwanted frequency components from an input signal, or to limit an amplifier to signals within a particular band of frequencies.

Dirac delta function

delta functionimpulsedirac delta
An "impulse" in a continuous time filter means a Dirac delta function; in a discrete time filter the Kronecker delta function would apply.

Discrete time and continuous time

discrete-timediscrete timecontinuous-time
An "impulse" in a continuous time filter means a Dirac delta function; in a discrete time filter the Kronecker delta function would apply.