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Butterworth filter

Index 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. [1]

52 relations: Amplifier, Angular frequency, Band-pass filter, Band-stop filter, Bilinear transform, Bode plot, Chebyshev filter, Composite image filter, Cutoff frequency, Decade (log scale), Decibel, Digital biquad filter, Diplexer, Electrical impedance, Electronic filter topology, Elliptic filter, Engineer, Filter (signal processing), Filter design, Frequency response, Gain (electronics), Group delay and phase delay, High-pass filter, Immittance, Impulse invariance, Inductor, Laplace transform, Low-pass filter, Matched Z-transform method, Molypermalloy Powder Core, Monotonic function, Multiplexer, Octave (electronics), Operational amplifier, Overshoot (signal), Passband, Phase (waves), Phase response, Physicist, Prototype filter, RC circuit, Ringing (signal), Ripple (electrical), Roll-off, Sallen–Key topology, Step response, Stephen Butterworth, Stopband, Transfer function, Unit circle, ..., Vacuum tube, Zeros and poles. Expand index (2 more) »

Amplifier

An amplifier, electronic amplifier or (informally) amp is an electronic device that can increase the power of a signal (a time-varying voltage or current).

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Angular frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate.

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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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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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Bode plot

In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system.

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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.

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Composite image filter

A composite image filter is an electronic filter consisting of multiple image filter sections of two or more different types.

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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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Decade (log scale)

One decade (symbol dec) is a unit for measuring frequency ratios on a logarithmic scale, with one decade corresponding to a ratio of 10 between two frequencies (an order of magnitude difference).

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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 biquad filter

In signal processing, a digital biquad filter is a second-order recursive linear filter, containing two poles and two zeros.

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Diplexer

A diplexer is a passive device that implements frequency-domain multiplexing.

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Electrical impedance

Electrical impedance is the measure of the opposition that a circuit presents to a current when a voltage is applied.

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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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Engineer

Engineers, as practitioners of engineering, are people who invent, design, analyze, build, and test machines, systems, structures and materials to fulfill objectives and requirements while considering the limitations imposed by practicality, regulation, safety, and cost.

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Filter (signal processing)

In signal processing, a filter is a device or process that removes some unwanted components or features from a signal.

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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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Frequency response

Frequency response is the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system.

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Gain (electronics)

In electronics, gain is a measure of the ability of a two-port circuit (often an amplifier) to increase the power or amplitude of a signal from the input to the output port by adding energy converted from some power supply to the signal.

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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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Immittance

In electrical engineering and acoustics, immittance is a concept combining the '''im'''pedance and ad'''mittance''' of a system or circuit.

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Impulse invariance

Impulse invariance is a technique for designing discrete-time infinite-impulse-response (IIR) filters from continuous-time filters in which the impulse response of the continuous-time system is sampled to produce the impulse response of the discrete-time system.

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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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Laplace transform

In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.

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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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Molypermalloy Powder Core

A Molypermalloy Powder (MPP) core is a toroidal magnetic core comprised from the powder of multiple alloys.

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Monotonic function

In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.

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Multiplexer

In electronics, a multiplexer (or mux) is a device that selects one of several analog or digital input signals and forwards the selected input into a single line.

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Octave (electronics)

In electronics, an octave (symbol oct) is a doubling or halving of a frequency.

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Operational amplifier

An operational amplifier (often op-amp or opamp) is a DC-coupled high-gain electronic voltage amplifier with a differential input and, usually, a single-ended output.

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Overshoot (signal)

In signal processing, control theory, electronics, and mathematics, overshoot is the occurrence of a signal or function exceeding its target.

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Passband

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

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Phase (waves)

Phase is the position of a point in time (an instant) on a waveform cycle.

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Phase response

In signal processing, phase response is the relationship between the phase of a sinusoidal input and the output signal passing through any device that accepts input and produces an output signal, such as an amplifier or a filter.

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Physicist

A physicist is a scientist who has specialized knowledge in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe.

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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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RC circuit

A resistor–capacitor circuit (RC circuit), or RC filter or RC network, is an electric circuit composed of resistors and capacitors driven by a voltage or current source.

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Ringing (signal)

In electronics, signal processing, and video, ringing is oscillation of a signal, particularly in the step response (the response to a sudden change in 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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Sallen–Key topology

The Sallen–Key topology is an electronic filter topology used to implement second-order active filters that is particularly valued for its simplicity.

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Step response

The step response of a system in a given initial state consists of the time evolution of its outputs when its control inputs are Heaviside step functions.

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Stephen Butterworth

Stephen Butterworth (1885–1958) was a British physicist who invented the Butterworth filter, a class of electrical circuits that are used to separate different frequencies of electrical signals.

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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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Unit circle

In mathematics, a unit circle is a circle with a radius of one.

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Vacuum tube

In electronics, a vacuum tube, an electron tube, or just a tube (North America), or valve (Britain and some other regions) is a device that controls electric current between electrodes in an evacuated container.

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Zeros and poles

In mathematics, a zero of a function is a value such that.

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Redirects here:

Butterworth polynomials, Butterworth response, Maximally flat, Maximally flat filter.

References

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

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