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Chebyshev filter

Index Chebyshev filter

Chebyshev filters are analog or digital filters having a steeper roll-off and more passband ripple (type I) or stopband ripple (type II) than Butterworth filters. [1]

36 relations: Amplitude, Analogue electronics, Analogue filter, Attenuation, Band-pass filter, Band-stop filter, Bandwidth (signal processing), Bessel filter, Bilinear transform, Butterworth filter, Chebyshev nodes, Chebyshev polynomials, Comb filter, Cutoff frequency, Decibel, Digital filter, Electrical reactance, Electronic filter topology, Elliptic filter, Filter design, Group delay and phase delay, High-pass filter, Inductor, Low-pass filter, Matched Z-transform method, Pafnuty Chebyshev, Passband, Prototype filter, Recursive filter, Ripple (electrical), Roll-off, S-plane, Series and parallel circuits, Shunt (electrical), Stopband, Transfer function.

Amplitude

The amplitude of a periodic variable is a measure of its change over a single period (such as time or spatial period).

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Analogue electronics

Analogue electronics (also spelled analog electronics) are electronic systems with a continuously variable signal, in contrast to digital electronics where signals usually take only two levels.

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Analogue filter

Analogue filters are a basic building block of signal processing much used in electronics.

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Attenuation

In physics, attenuation or, in some contexts, extinction is the gradual loss of flux intensity through a medium.

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Band-pass filter

A band-pass filter, also bandpass filter or BPF, is a device that passes frequencies within a certain range and rejects (attenuates) frequencies outside that range.

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Band-stop filter

In signal processing, a band-stop filter or band-rejection filter is a filter that passes most frequencies unaltered, but attenuates those in a specific range to very low levels.

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Bandwidth (signal processing)

Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies.

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Bessel filter

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.

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Bilinear transform

The bilinear transform (also known as Tustin's method) is used in digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa.

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Butterworth filter

The Butterworth filter is a type of signal processing filter designed to have a frequency response as flat as possible in the passband.

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Chebyshev nodes

In numerical analysis, Chebyshev nodes are specific real algebraic numbers, namely the roots of the Chebyshev polynomials of the first kind.

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Chebyshev polynomials

In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence of orthogonal polynomials which are related to de Moivre's formula and which can be defined recursively.

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Comb filter

In signal processing, a comb filter is a filter implemented by adding a delayed version of a signal to itself, causing constructive and destructive interference.

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Cutoff frequency

In physics and electrical engineering, a cutoff frequency, corner frequency, or break frequency is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced (attenuated or reflected) rather than passing through.

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Decibel

The decibel (symbol: dB) is a unit of measurement used to express the ratio of one value of a physical property to another on a logarithmic scale.

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Digital filter

In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal.

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Electrical reactance

In electrical and electronic systems, reactance is the opposition of a circuit element to a change in current or voltage, due to that element's inductance or capacitance.

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Electronic filter topology

Electronic filter topology defines electronic filter circuits without taking note of the values of the components used but only the manner in which those components are connected.

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Elliptic filter

An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband.

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Filter design

Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which are contradictory.

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Group delay and phase delay

In signal processing, group delay is the time delay of the amplitude envelopes of the various sinusoidal components of a signal through a device under test, and is a function of frequency for each component.

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High-pass filter

A high-pass filter (HPF) is an electronic filter that passes signals with a frequency higher than a certain cutoff frequency and attenuates signals with frequencies lower than the cutoff frequency.

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Inductor

An inductor, also called a coil, choke or reactor, is a passive two-terminal electrical component that stores energy in a magnetic field when electric current flows through it.

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Low-pass filter

A low-pass filter (LPF) is a filter that passes signals with a frequency lower than a certain cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency.

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Matched Z-transform method

The matched Z-transform method, also called the pole–zero mapping or pole–zero matching method, and abbreviated MPZ or MZT, is a technique for converting a continuous-time filter design to a discrete-time filter (digital filter) design.

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Pafnuty Chebyshev

Pafnuty Lvovich Chebyshev (p) (–) was a Russian mathematician.

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Passband

A passband is the range of frequencies or wavelengths that can pass through a filter.

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Prototype filter

Prototype filters are electronic filter designs that are used as a template to produce a modified filter design for a particular application.

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Recursive filter

In signal processing, a recursive filter is a type of filter which re-uses one or more of its outputs as an input.

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Ripple (electrical)

Ripple (specifically ripple voltage) in electronics is the residual periodic variation of the DC voltage within a power supply which has been derived from an alternating current (AC) source.

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Roll-off

Roll-off is the steepness of a transmission function with frequency, particularly in electrical network analysis, and most especially in connection with filter circuits in the transition between a passband and a stopband.

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S-plane

In mathematics and engineering, the s-plane is the complex plane on which Laplace transforms are graphed.

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Series and parallel circuits

Components of an electrical circuit or electronic circuit can be connected in many different ways.

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Shunt (electrical)

In electronics, a shunt is a device which allows electric current to pass around another point in the circuit by creating a low resistance path.

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Stopband

A stopband is a band of frequencies, between specified limits, through which a circuit, such as a filter or telephone circuit, does not allow signals to pass, or the attenuation is above the required stopband attenuation level.

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Transfer function

In engineering, a transfer function (also known as system function or network function) of an electronic or control system component is a mathematical function giving the corresponding output value for each possible value of the input to the device.

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Redirects here:

Chebychev filter, Chebyshev response, Inverse Chebyshev filter, Inverse Tchebyscheff filter, Tchebycheff filter, Tchebyscheff filter, Tschebyscheff filter.

References

[1] https://en.wikipedia.org/wiki/Chebyshev_filter

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