en.unionpedia.org

Chebyshev filter, the Glossary

Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple (type I) or stopband ripple (type II).^[1]

50 relations: Amplitude, Analogue electronics, Analogue filter, Attenuation, Band-pass filter, Band-stop filter, Bandwidth (signal processing), Bessel filter, Bilinear transform, Binomial coefficient, Bozeman, Montana, Butterworth filter, Chebyshev nodes, Chebyshev polynomials, Comb filter, Complex conjugate, Continued fraction, Cutoff frequency, Decibel, Differentiation rules, Digital filter, Electrical reactance, Electronic filter topology, Elliptic filter, Filter design, Group delay and phase delay, High-pass filter, Imaginary number, Inductor, Jacobian matrix and determinant, Laplace transform, Low-pass filter, Matched Z-transform method, Pafnuty Chebyshev, Partial derivative, Passband, Prototype filter, Real number, Recursive filter, Reflection coefficient, Ripple (electrical), Roll-off, Root-finding algorithm, S-matrix, Scattering parameters, Series and parallel circuits, Shunt (electrical), Stopband, Transfer function, Transmission zeroes.
Network synthesis filters

Amplitude

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

See Chebyshev filter and Amplitude

Analogue electronics

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

See Chebyshev filter and Analogue electronics

Analogue filter

Analogue filters are a basic building block of signal processing much used in electronics. Chebyshev filter and Analogue filter are electronic design and linear filters.

See Chebyshev filter and Analogue filter

Attenuation

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

See Chebyshev filter and Attenuation

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

See Chebyshev filter and Band-pass filter

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. Chebyshev filter and band-stop filter are linear filters.

See Chebyshev filter and Band-stop filter

Bandwidth (signal processing)

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

See Chebyshev filter and Bandwidth (signal processing)

Bessel filter

In electronics and signal processing, a Bessel filter is a type of analog linear filter with a maximally flat group delay (i.e., maximally linear phase response), which preserves the wave shape of filtered signals in the passband. Chebyshev filter and Bessel filter are electronic design, linear filters and network synthesis filters.

See Chebyshev filter and Bessel filter

Bilinear transform

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

See Chebyshev filter and Bilinear transform

Binomial coefficient

In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem.

See Chebyshev filter and Binomial coefficient

Bozeman, Montana

Bozeman is a city in and the county seat of Gallatin County, Montana, United States.

See Chebyshev filter and Bozeman, Montana

Butterworth filter

The Butterworth filter is a type of signal processing filter designed to have a frequency response that is as flat as possible in the passband. Chebyshev filter and Butterworth filter are electronic design, linear filters and network synthesis filters.

See Chebyshev filter and Butterworth filter

Chebyshev nodes

In numerical analysis, Chebyshev nodes are a set of specific real algebraic numbers, used as nodes for polynomial interpolation.

See Chebyshev filter and Chebyshev nodes

Chebyshev polynomials

The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as T_n(x) and U_n(x).

See Chebyshev filter and Chebyshev polynomials

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.

See Chebyshev filter and Comb filter

Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

See Chebyshev filter and Complex conjugate

Continued fraction

In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

See Chebyshev filter and Continued fraction

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.

See Chebyshev filter and Cutoff frequency

Decibel

The decibel (symbol: dB) is a relative unit of measurement equal to one tenth of a bel (B).

See Chebyshev filter and Decibel

Differentiation rules

This is a summary of differentiation rules, that is, rules for computing the derivative of a function in calculus.

See Chebyshev filter and Differentiation rules

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.

See Chebyshev filter and Digital filter

Electrical reactance

In electrical circuits, reactance is the opposition presented to alternating current by inductance and capacitance.

See Chebyshev filter and Electrical reactance

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. Chebyshev filter and electronic filter topology are electronic design.

See Chebyshev filter and Electronic filter topology

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. Chebyshev filter and elliptic filter are electronic design, linear filters and network synthesis filters.

See Chebyshev filter and Elliptic filter

Filter design

Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which may be conflicting.

See Chebyshev filter and Filter design

Group delay and phase delay

In signal processing, group delay and phase delay are two related ways of describing how a signal's frequency components are delayed in time when passing through a linear time-invariant (LTI) system (such as a microphone, coaxial cable, amplifier, loudspeaker, telecommunications system, ethernet cable, digital filter, or analog filter).

See Chebyshev filter and Group delay and phase delay

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. Chebyshev filter and high-pass filter are linear filters.

See Chebyshev filter and High-pass filter

Imaginary number

An imaginary number is the product of a real number and the imaginary unit, is usually used in engineering contexts where has other meanings (such as electrical current) which is defined by its property.

See Chebyshev filter and Imaginary number

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.

See Chebyshev filter and Inductor

Jacobian matrix and determinant

In vector calculus, the Jacobian matrix of a vector-valued function of several variables is the matrix of all its first-order partial derivatives.

See Chebyshev filter and Jacobian matrix and determinant

Laplace transform

In mathematics, the Laplace transform, named after Pierre-Simon Laplace, is an integral transform that converts a function of a real variable (usually t, in the time domain) to a function of a complex variable s (in the complex-valued frequency domain, also known as s-domain, or s-plane).

See Chebyshev filter and Laplace transform

Low-pass filter

A low-pass filter is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency. Chebyshev filter and low-pass filter are linear filters.

See Chebyshev filter and Low-pass filter

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.

See Chebyshev filter and Matched Z-transform method

Pafnuty Chebyshev

Pafnuty Lvovich Chebyshev (p) (–) was a Russian mathematician and considered to be the founding father of Russian mathematics.

See Chebyshev filter and Pafnuty Chebyshev

Partial derivative

In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary).

See Chebyshev filter and Partial derivative

Passband

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

See Chebyshev filter and Passband

Prototype filter

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

See Chebyshev filter and Prototype filter

Real number

In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.

See Chebyshev filter and Real number

Recursive filter

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

See Chebyshev filter and Recursive filter

Reflection coefficient

In physics and electrical engineering the reflection coefficient is a parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium.

See Chebyshev filter and Reflection coefficient

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.

See Chebyshev filter and Ripple (electrical)

Roll-off

Roll-off is the steepness of a transfer 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. Chebyshev filter and Roll-off are electronic design.

See Chebyshev filter and Roll-off

References

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

Also known as Chebychev filter, Chebyshev response, Inverse Chebyshev filter, Inverse Tchebyscheff filter, Tchebycheff filter, Tchebyscheff filter, Tschebyscheff filter.

Chebyshev filter, the Glossary

Table of Contents

See also

Network synthesis filters

References