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Equalization filter

 

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Equalization filter



 
 
An equalization (EQ) filter is a filter, usually adjustable, chiefly meant to compensate for the unequal frequency response
Frequency response

Frequency response is the measure of any system's Frequency spectrum response at the output to a signal of varying frequency at its input. In the audible range it is usually referred to in connection with electronic amplifiers, microphones and loudspeakers....
 of some other signal processing
Signal processing

Signal processing is the analysis, interpretation, and manipulation of signal . Signals of interest include: audio signal processing, , time-varying measurement values and sensor data, for example biological data such as electrocardiograms, control system signals, telecommunication transmission signals such as radio signals, and many others....
 circuit or system.

An EQ filter typically allows the user to adjust one or more parameters that determine the overall shape of the filter's transfer function
Transfer function

A transfer function is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a system analysis....
. It is generally used to improve the fidelity of sound, to emphasize certain instruments, to remove undesired noises, or to create completely new and different sounds.

Equalizers may be designed with peaking filters, shelving filters, bandpass filters, plop filters or high-pass and low-pass filters.

There are three primary types of equalizers with peaking filters:

All equalizers with peaking filters have three variables:



The formula for conversion from bandwidth in octaves to ' is:
, where ' is the bandwidth in octaves.



A parametric equalizer uses independent parameters for
', frequency, and boost/cut.






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An equalization (EQ) filter is a filter, usually adjustable, chiefly meant to compensate for the unequal frequency response
Frequency response

Frequency response is the measure of any system's Frequency spectrum response at the output to a signal of varying frequency at its input. In the audible range it is usually referred to in connection with electronic amplifiers, microphones and loudspeakers....
 of some other signal processing
Signal processing

Signal processing is the analysis, interpretation, and manipulation of signal . Signals of interest include: audio signal processing, , time-varying measurement values and sensor data, for example biological data such as electrocardiograms, control system signals, telecommunication transmission signals such as radio signals, and many others....
 circuit or system.

An EQ filter typically allows the user to adjust one or more parameters that determine the overall shape of the filter's transfer function
Transfer function

A transfer function is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a system analysis....
. It is generally used to improve the fidelity of sound, to emphasize certain instruments, to remove undesired noises, or to create completely new and different sounds.

Equalizers may be designed with peaking filters, shelving filters, bandpass filters, plop filters or high-pass and low-pass filters.

There are three primary types of equalizers with peaking filters:
  • parametric equalizers
  • graphic equalizers
  • notch filters


All equalizers with peaking filters have three variables:
  • Frequency
    Frequency

    Frequency is the number of occurrences of a repeating event per unit time. It is also referred to as temporal frequency.The period is the duration of one cycle in a repeating event, so the period is the reciprocal of the frequency....
     - All equalizers built on peaking filters use a bell curve
    Bell curve

    Bell curve can refer to:* Normal distribution, whose density function graph is a bell-shaped curve* The Bell Curve, a book by Richard J. Herrnstein and Charles Murray...
     which allows the equalizer to operate smoothly across a range of frequencies. The center frequency occurs at the top of the bell curve and is the frequency most affected by equalization. It is often notated as 'c and is measured in Hz.


  • ' - This is a variable (quality factor) which refers to the width of the bell curve. The higher the ', the narrower the bandwidth. A high ' means that only a few frequencies are affected, whereas a low ' affects many frequencies.


The formula for conversion from bandwidth in octaves to ' is:
, where ' is the bandwidth in octaves.

  • Boost/Cut - Also called gain, this determines how much of the selected frequencies should be present. A boost means that those frequencies will be louder after being equalized, whereas a cut will soften them. The amount of boost/cut or gain is measured decibel
    Decibel

    The decibel is a logarithmic units of measurement that expresses the magnitude of a physical quantity relative to a specified or implied reference level....
    s, such as +3 dB or -6 dB. A boost or gain of +3dB generally amounts to the sound being twice as loud after equalization.


A parametric equalizer uses independent parameters for
', frequency, and boost/cut. Any frequency or range of frequencies can be selected and then processed. This is the most powerful EQ because it allows control over all three variables. This EQ is predominantly used in recording and mixing.

A graphic equalizer uses predetermined ' and frequencies which are equally spaced according to the musical intervals, such as the octave
Octave

In music, an octave The octave is occasionally referred to as a diapason.The octave above an indicated note is sometimes abbreviated 8va, and the octave below 8vb....
 (12-band graphic EQ) or one third of an octave (36-band graphic EQ). These frequencies can then be independently boosted or cut. This type of EQ is often used for live applications, such as concerts.

A notch filter is an EQ with a very high fixed
'. The frequency and boost/cut remain variable. This kind of EQ is useful in multimedia applications and in audio mastering.

Shelving filters

Shelving filters, unlike those described above, boost or cut from a determined frequency until they reach a preset level which is applied to the rest of the frequency spectrum
Frequency spectrum

Familiar concepts associated with a frequency are colors, musical notes, radio/TV channels, and even the regular rotation of the earth. A source of light can have many colors mixed together and in different amounts ....
. This kind of filter is usually found on the treble and bass controls of home audio units. These filters are also used in audio mastering.

High pass and low pass filters boost or cut frequencies above or below a selected frequency, called the cutoff frequency. A high pass filter allows only frequencies above the cutoff frequency to pass through unaffected. Frequencies below the cutoff frequency are then attenuated at a constant rate per octave. Low pass filters operate similarly, except that only frequencies below the cutoff are allowed to pass through. Common attenuation rates are 6, 12, and 18 dB per octave. These filters are used to reduce noise and hiss, eliminate pops, and remove rumble. It is common to use a high pass filter (at about 60 to 80 Hz) when recording vocals to eliminate rumble.

Almost all filters (both analog and digital) induce phase shift
Phase (waves)

The phase of an oscillation or wave is the fraction of a complete cycle corresponding to an offset in the displacement from a specified reference point at time t = 0....
 on the outgoing audio signal, which can cause a problem in mixing. The lower the value of ', the more this phase shifting occurs. Therefore, EQ is often used sparingly, unless a particular effect is desired.

Telecommunications lines

Prior to the widespread use of digital technology, it was common to use equalizers on analog landline
Landline

A landline, main line or fixed-line is a telephone line which travels through a solid medium, either metal wire or optical fibre. This is distinguished from a mobile phone, where the medium used is the radio waves....
s used for trunking
Trunking

Trunking is a concept in modern communications by which a communications system can provide network access to many clients by sharing a set of lines or frequencies instead of providing them individually....
. There was a need for the circuitry to be passive and balanced, a requirement for which the Zobel network
Zobel network

Zobel networks are a type of filter section based on the design principle. They are named after Otto Julius Zobel of Bell Labs who published a much referenced paper on image filters in 1923....
 constant resistance filter was ideally suited, having also the quality of good impedance matching. For lines used for the purpose of broadcast
Broadcast

Broadcast may refer to:* Broadcasting, the transmission of audio and video signals* Broadcast, an individual television program or radio program...
 transmissions, phase and delay might also need to be equalized, for which an all-pass filter
All-pass filter

An all-pass filter is an electronic filter that passes all Frequency equally, but changes the Phase relationship between various frequencies. It does this by varying its propagation delay with frequency....
 equalizer would be used.

See also

  • Equalization
    Equalization

    Equalization, equalisation or EQ is the process of using passive or active electronic elements or digital algorithms for the purpose of altering the frequency response characteristics of a system....
  • Blind equalization
    Blind equalization

    Blind equalization is a digital signal processing technique in which the transmitter Signal is inferred from the receiver signal, while making use only of the transmitted signal statistics....
  • Zobel network
    Zobel network

    Zobel networks are a type of filter section based on the design principle. They are named after Otto Julius Zobel of Bell Labs who published a much referenced paper on image filters in 1923....


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