Dither is an intentionally applied form of noise used to randomize quantization error, preventing large-scale patterns such as "banding" in images. Dither is routinely used in processing of both digital audio and digital video data, and is often one of the last stages of audio production to compact disc.
The term "dither" was published in books on analog computation and hydraulic controlled guns shortly after the war. The concept of dithering to reduce quantization patterns was first applied by Lawrence G. Roberts in his 1961 MIT master's thesis and 1962 article though he did not use the term ''dither''. By 1964 dither was being used in the modern sense described in this article.
The premise is that quantization and re-quantization of digital data yields error. If that error is repeating and ''correlated'' to the signal, the error that results is repeating, cyclical, and mathematically determinable. In some fields, especially where the receptor is sensitive to such artifacts, cyclical errors yield undesirable artifacts. In these fields dither results in less determinable artifacts. The field of audio is a primary example of this — the human ear functions much like a Fourier transform, wherein it hears individual frequencies. The ear is therefore very sensitive to ''distortion,'' or additional frequency content that "colors" the sound differently, but far less sensitive to random noise at all frequencies.
In audio, dither can be useful to break up periodic limit cycles, which are a common problem in digital filters. Random noise is typically less objectionable than the harmonic tones produced by limit cycles.
In 1987, Lipshitz and Vanderkooy pointed out that different noise types, with different probability density functions, behave differently when used as dither signals, and suggested optimal levels of dither signals for audio.
In an analog system, the signal is ''continuous'', but in a PCM digital system, the amplitude of the signal out of the digital system is limited to one of a set of fixed values or numbers. This process is called quantization. Each coded value is a discrete step... if a signal is quantized without using dither, there will be quantization distortion related to the original input signal... In order to prevent this, the signal is "dithered", a process that mathematically removes the harmonics or other highly undesirable distortions entirely, and that replaces it with a constant, fixed noise level.
The final version of audio that goes onto a compact disc contains only 16 bits per sample, but throughout the production process a greater number of bits are typically used to represent the sample. In the end, the digital data must be reduced to 16 bits for pressing onto a CD and distributing.
There are multiple ways to do this. One can, for example, simply discard the excess bits — called ''truncation.'' One can also ''round'' the excess bits to the nearest value. Each of these methods, however, results in predictable and determinable errors in the result. Take, for example, a waveform that consists of the following values:
1 2 3 4 5 6 7 8
If we reduce our waveform by, say, 20% then we end up with the following values:
0.8 1.6 2.4 3.2 4.0 4.8 5.6 6.4
If we truncate these values we end up with the following data:
0 1 2 3 4 4 5 6
If we instead round these values we end up with the following data:
1 2 2 3 4 5 6 6
For any original waveform, the process of reducing the waveform amplitude by 20% results in regular errors. Take for example a sine wave that, for some portion, matches the values above. Every time the sine wave's value hit "3.2," the truncated result would be off by 0.2, as in the sample data above. Every time the sine wave's value hit "4.0," there would be no error since the truncated result would be off by 0.0, also shown above. The magnitude of this error changes regularly and repeatedly throughout the sine wave's cycle. It is precisely this error which manifests itself as distortion. What the ear hears as distortion is the additional content at discrete frequencies created by the regular and repeated quantization error.
A plausible solution would be to take the 2 digit number (say, 4.8) and round it one direction or the other. For example, we could round it to 5 one time and then 4 the next time. This would make the long-term average 4.5 instead of 4, so that over the long-term the value is closer to its actual value. This, on the other hand, still results in determinable (though more complicated) error. Every other time the value 4.8 comes up the result is an error of 0.2, and the other times it is –0.8. This still results in repeating, quantifiable error.
Another plausible solution would be to take 4.8 and round it so that the first four times out of five it rounded up to 5, and the fifth time it rounded to 4. This would average out to exactly 4.8 over the long term. Unfortunately, however, it still results in repeatable and determinable errors, and those errors still manifest themselves as distortion to the ear (though oversampling can reduce this).
This leads to the ''dither'' solution. Rather than predictably rounding up or down in a repeating pattern, what if we rounded up or down in a random pattern? If we came up with a way to randomly toggle our results between 4 and 5 so that 80% of the time it ended up on 5 then we would average 4.8 over the long run but would have random, unrepeating error in the result. This is done through dither.
We calculate a series of random numbers between 0.0 and 0.9 (ex: 0.6, 0.1, 0.3, 0.6, 0.9, etc.) and we add these random numbers to the results of our equation. Two times out of ten the result will truncate back to 4 (if 0.0 or 0.1 are added to 4.8) and the rest of the times it will truncate to 5, but each given situation has a random 20% chance of rounding to 4 or 80% chance of rounding to 5. Over the long haul this will result in results that average to 4.8 and a quantization error that is random — or noise. This "noise" result is less offensive to the ear than the determinable distortion that would result otherwise.
Audio samples:
TPDF stands for "Triangular Probability Density Function," equivalent to a roll of two dice (the sum of two independent samples of RPDF).
Gaussian PDF is equivalent to a roll of a large number of dice. The relationship of probabilities of results follows a bell-shaped, or Gaussian curve, typical of dither generated by analog sources such as microphone preamplifiers. If the bit depth of a recording is sufficiently great, that noise will be sufficient to dither the recording.
Colored Dither is sometimes mentioned as dither that has been filtered to be different from white noise. Some dither algorithms use noise that has more energy in the higher frequencies so as to lower the energy in the critical audio band.
Noise shaping is a filtering process that shapes the spectral energy of quantization error, typically to either de-emphasise frequencies to which the ear is most sensitive or separate the signal and noise bands completely. If dither is used, its final spectrum depends on whether it is added inside or outside the feedback loop of the noise shaper: if inside, the dither is treated as part of the error signal and shaped along with actual quantization error; if outside, the dither is treated as part of the original signal and linearises quantization without being shaped itself. In this case, the final noise floor is the sum of the flat dither spectrum and the shaped quantization noise. While real-world noise shaping usually includes in-loop dithering, it is also possible to use it without adding dither at all, in which case the usual harmonic-distortion effects still appear at low signal levels.
If the signal being dithered is to undergo no further processing — it is being dithered to its final result for distribution — then colored dither or noise shaping is appropriate, and can effectively lower the audible noise level by putting most of that noise in a frequency range where it is less critical.
Dithering is a technique used in computer graphics to create the illusion of color depth in images with a limited color palette (color quantization). In a dithered image, colors not available in the palette are approximated by a diffusion of colored pixels from within the available palette. The human eye perceives the diffusion as a mixture of the colors within it (see color vision). Dithering is analogous to the halftone technique used in printing. Dithered images, particularly those with relatively few colors, can often be distinguished by a characteristic graininess, or speckled appearance.
A number of factors can affect the resulting quality of a color-reduced image. Perhaps most significant is the color palette that will be used in the reduced image. For example, an original image (''Figure 1'') may be reduced to the 216-color "web-safe" color palette. If the original pixel colors are simply translated into the closest available color from the palette, no dithering occurs (''Figure 2''). Typically, this approach results in flat areas (contours) and a loss of detail, and may produce patches of color that are significantly different from the original. Shaded or gradient areas may appear as ''color bands'', which may be distracting. The application of dithering can help to minimize such visual artifacts, and usually results in a better representation of the original (''Figure 3''). Dithering helps to reduce color banding and flatness.
One of the problems associated with using a fixed color palette is that many of the needed colors may not be available in the palette, and many of the available colors may not be needed; a fixed palette containing mostly shades of green would not be well-suited for images that do not contain many shades of green, for instance. The use of an optimized color palette can be of benefit in such cases. An optimized color palette is one in which the available colors are chosen based on how frequently they are used in the original source image. If the image is reduced based on an optimized palette, the result is often much closer to the original (''Figure 4'').
The number of colors available in the palette is also a contributing factor. If, for example, the palette is limited to only 16 colors, the resulting image could suffer from additional loss of detail, and even more pronounced problems with flatness and color banding (''Figure 5''). Once again, dithering can help to minimize such artifacts (''Figure 6'').
{{Image gallery |lines=6 |width=260 |Dithering example undithered.png|frame|Figure 1. Original photo; note the smoothness in the detail. |Dithering example undithered web palette.png|frame|Figure 2. Original image using the web-safe color palette with no dithering applied. Note the large flat areas and loss of detail. |Dithering example dithered web palette.png|frame|Figure 3. Original image using the web-safe color palette with Floyd–Steinberg dithering. Note that even though the same palette is used, the application of dithering gives a better representation of the original. |Dithering example dithered 256color.png|frame|Figure 4. Here, the original has been reduced to a 256-color optimized palette with Floyd–Steinberg dithering applied. The use of an optimized palette, rather than a fixed palette, allows the result to better represent the colors in the original image. |Dithering example undithered 16color.png|frame|Figure 5. Depth is reduced to a 16-color optimized palette in this image, with no dithering. Colors appear muted, and color banding is pronounced. |Dithering example dithered 16color.png|frame|Figure 6. This image also uses the 16-color optimized palette, but the use of dithering helps to reduce banding. }}
Some LCDs may use temporal dithering to achieve a similar effect. By alternating each pixel's color value rapidly between two approximate colors in the panel's color space (also known as Frame Rate Control), a display panel which natively supports 18-bit color (6 bits per channel) can represent a 24-bit "true" color image (8 bits per channel).
Dithering such as this, in which the computer's display hardware is the primary limitation on color depth, is commonly employed in software such as web browsers. Since a web browser may be retrieving graphical elements from an external source, it may be necessary for the browser to perform dithering on images with too many colors for the available display. It was due to problems with dithering that a color palette known as the "web-safe color palette" was identified, for use in choosing colors that would not be dithered on displays with only 256 colors available.
But even when the total number of available colors in the display hardware is high enough when rendering full color digital photographs, as those 15- and 16-bit RGB Hicolor 32,768/65,536 color modes, banding can be evident to the eye, especially in large areas of smooth shade transitions (although the original image file has no banding at all). Dithering the 32 or 64 RGB levels will result in a pretty good "pseudo truecolor" display approximation, which the eye cannot resolve as ''grainy''. Furthermore, images displayed on 24-bit RGB hardware (8 bits per RGB primary) can be dithered to simulate somewhat higher bit depth, and/or to minimize the loss of hues available after a gamma correction. High-end still image processing software, as Adobe Photoshop, commonly uses these techniques for improved display.
Another useful application of dithering is for situations in which the graphic file format is the limiting factor. In particular, the commonly-used GIF format is restricted to the use of 256 or fewer colors in many graphics editing programs. Images in other file formats, such as PNG, may also have such a restriction imposed on them for the sake of a reduction in file size. Images such as these have a fixed color palette defining all the colors that the image may use. For such situations, graphical editing software may be responsible for dithering images prior to saving them in such restrictive formats.
Dithering methods include: ''Thresholding'' (also average dithering): each pixel value is compared against a fixed threshold. This may be the simplest dithering algorithm there is, but it results in immense loss of detail and contouring. ''Random dithering'' was the first attempt (at least as early as 1951) to remedy the drawbacks of thresholding. Each pixel value is compared against a random threshold, resulting in a staticky image. Although this method doesn't generate patterned artifacts, the noise tends to swamp the detail of the image. It is analogous to the practice of mezzotinting.
Other well-written papers on the subject at a more elementary level are available by:
Both Nika Aldrich and Bob Katz are esteemed experts in the field of digital audio and have books available as well, each of which are far more comprehensive in their explanations:
More recent research in the field of dither for audio was done by Lipshitz, Vanderkooy, and Wannamaker at the University of Waterloo:
Category:Audio engineering Category:Digital signal processing Category:Computer graphic artifacts
ca:Tramat (informàtica) de:Dithering (Bildbearbeitung) fr:Tramage (informatique) ko:디더링 it:Dithering ja:ディザ pl:Dithering (grafika komputerowa) pt:Dither ru:Дизеринг sk:Dithering (počítačová grafika) uk:ДизерингThis text is licensed under the Creative Commons CC-BY-SA License. This text was originally published on Wikipedia and was developed by the Wikipedia community.
Coordinates | 12°2′36″N77°1′42″N |
---|---|
name | Fred Frith |
background | non_vocal_instrumentalist |
birth name | Fred Frith |
birth date | February 17, 1949 |
birth place | Heathfield, Sussex, England |
instrument | Guitar, violin, bass guitar, keyboards, percussion |
genre | Avant-rock, experimental, free improvisation, contemporary classical |
occupation | Musician, Composer,Professor of Composition |
years active | 1968–present |
label | Caroline, Moers Music, Ralph, RecRec, Recommended, Fred, Tzadik, Winter & Winter |
associated acts | Henry Cow, Art Bears, Massacre, Skeleton Crew, Keep the Dog, Chris Cutler, John Zorn |
website | www.fredfrith.com }} |
Fred Frith (born 17 February 1949) is an English multi-instrumentalist, composer and improvisor.
Probably best-known for his guitar work, Frith first came to attention as one of the founding members of the English avant-rock group Henry Cow. Frith was also a member of Art Bears, Massacre and Skeleton Crew. He has collaborated with a number of prominent musicians, including Robert Wyatt, Derek Bailey, The Residents, Lol Coxhill, John Zorn, Brian Eno, Lars Hollmer, Bill Laswell, Iva Bittová, the ARTE Quartett and Bob Ostertag. He has also composed several long works, including ''Traffic Continues'' (1996, performed 1998 by Frith and Ensemble Modern) and ''Freedom in Fragments'' (1993, performed 1999 by Rova Saxophone Quartet). Frith produces most of his own music, and has also produced many albums by other musicians, including Curlew, The Muffins, Etron Fou Leloublan and Orthotonics.
Frith is the subject of Nicolas Humbert and Werner Penzel's award-winning 1990 documentary film ''Step Across the Border''. He also appears in the Canadian documentary ''Act of God'', which is about the metaphysical effects of being struck by lightning. Frith has contributed to a number of music publications, including ''New Musical Express'' and ''Trouser Press'', and has conducted improvising workshops across the world. Frith's career spans over three decades and he appears on over 400 albums. He still performs actively throughout the world.
Currently Frith is Professor of Composition in the Music Department at Mills College in Oakland, California. He lives in the United States with his wife, German photographer Heike Liss, and their children, Finn Liss (born 1991) and Lucia Liss (born 1994).
Frith was awarded the 2008 Demetrio Stratos Prize for his career achievements in experimental music. The prize was established in 2005 in honour of experimental vocalist Demetrio Stratos, of the Italian group Area, who died in 1979. In 2010 Frith received an honorary doctorate from the University of Huddersfield in West Yorkshire, England in recognition of his contribution to music.
Frith is the brother of Simon Frith, a well-known music critic and sociologist, and Chris Frith, a psychologist working at University College London.
Besides the blues, Frith started listening to any music that had guitar in it, including folk, classical, ragtime and flamenco. He also listened to Indian, Japanese and Balinese music and was particularly drawn to East European music after a Yugoslav school friend taught him folk tunes from his home. Frith went to Cambridge University in 1967 where his musical horizons were expanded further by the philosophies of John Cage and Frank Zappa's manipulation of rock music. Frith graduated from Christ's College, Cambridge with a BA (English Literature) in 1970, and an MA (English Literature) in 1974, but the real significance of Cambridge for him was that that was where the seminal avant-rock group Henry Cow were formed.
Frith composed a number of the band's notable pieces, including "Nirvana for Mice" and "Ruins". While guitar was his principal instrument, he also played violin (drawing on his classical training), bass guitar, piano and xylophone.
In November 1973, Frith (and other members of Henry Cow) participated in a live-in-the-studio performance of Mike Oldfield's ''Tubular Bells'' for the BBC. It is available on Oldfield's ''Elements'' DVD.
When it was released, ''Guitar Solos'' was considered a landmark album because of its innovative and experimental approach to guitar playing. The January 1983 edition of ''Down Beat'' magazine remarked that ''Guitar Solos'' "... must have stunned listeners of the day. Even today that album stands up as uniquely innovative and undeniably daring." It also attracted the attention of some "famous" musicians, including Brian Eno, resulting in Frith playing guitar on two of Eno's albums, ''Before and After Science'' (1977) and ''Music for Films'' (1978).
In the mid-1970s, Frith contributed a series of articles to British weekly music magazine, New Musical Express entitled "Great Rock Solos of our Time". In them he analysed prominent rock guitarists of the day and their contribution to the development of the rock guitar, including Jimi Hendrix and Eric Clapton.
During this time Frith also released ''Gravity'' (1980), his second solo album, recorded at Norrgården Nyvla in Uppsala, Sweden with Swedish group Samla Mammas Manna, and at the Catch-a-Buzz studio in Rockville, Maryland with United States band The Muffins. It showed Frith breaking free from the highly structured and orchestrated music of Henry Cow and experimenting with folk and dance music. "Norrgården Nyvla" was also the title of one of the tracks on the album and is considered one of Frith's most recognisable tunes.
Towards the end of 1979 Frith relocated to New York City where he immediately hooked-up with the local avant-garde/Downtown music scene. The impact on him was uplifting: "... New York was a profoundly liberating experience for me; for the first time I felt that I could be myself and not try to live up to what I imagined people were thinking about me." Frith met and began recording with a number of musicians and groups, including Henry Kaiser, Bob Ostertag, Tom Cora, Eugene Chadbourne, Zeena Parkins, Ikue Mori, The Residents, Material, The Golden Palominos and Curlew. He spent some 14 years in New York, during which time he joined a few bands, including John Zorn's Naked City (in which Frith played bass) and French Frith Kaiser Thompson (consisting of John French, Frith, Henry Kaiser and Richard Thompson). Frith also started three bands himself, namely Massacre, Skeleton Crew and Keep the Dog.
Massacre was formed in 1980 with bassist Bill Laswell and drummer Fred Maher. A high energy experimental rock band, they toured the United States and Europe in 1980 and 1981, and released one album, ''Killing Time'' (1981), recorded at Martin Bisi's later-to-be historic studio in Brooklyn. Massacre split in 1981 when Maher left, but later reformed again in 1998 when drummer Charles Hayward joined. The new Massacre released three more albums.
Skeleton Crew, a collaboration with Tom Cora from 1982 to 1986, was an experimental group noted for its live improvisations where Frith (guitar, violin, keyboards, drums) and Cora (cello, bass guitar, homemade drums and contraptions) played a number of instruments simultaneously. They performed extensively across Europe, North America and Japan and released ''Learn to Talk'' in 1984. Zeena Parkins (electric harp and keyboards) joined in 1984 and the trio released ''The Country of Blinds'' in 1986. In October 1983 Skeleton Crew joined Duck and Cover, a commission from the Berlin Jazz Festival, for a performance in West Berlin, followed by another in February 1984 in East Berlin.
Frith formed Keep the Dog in 1989, a sextet and review band for performing selections of his extensive repertoire of compositions from the previous 15 years. The lineup was Frith (guitar, violin, bass guitar), René Lussier (guitar, bass guitar), Jean Derome (winds), Zeena Parkins (piano, synthesizer, harp, accordion), Bob Ostertag (sampling keyboard) and Kevin Norton (drums, percussion). Later Charles Hayward replaced Norton on drums. The group existed until mid-1991, performing live in Europe, North America and the former Soviet Union. A double CD, ''That House We Lived In'', from their final performances in Austria, Germany and Italy in May and June 1991, was released in 2003.
As a composer, Frith began composing works for other musicians and groups in the late 1980s, including the Rova Saxophone Quartet, Ensemble Modern and Arditti Quartet. In the late 1990s, Frith established his own Fred Frith Guitar Quartet consisting of Frith, René Lussier, Nick Didkovsky and Mark Stewart. Their guitar music, varying from "tuneful and pretty, to noisy, aggressive and quite challenging", appears on two albums, ''Ayaya Moses'' (1997) and ''Upbeat'' (1999), both on Lussier's own Ambiances Magnétiques label.
The ex-Henry Cow members have always maintained close contact with each other and Frith still collaborates with many of them, including Chris Cutler, Tim Hodgkinson and Lindsay Cooper. Cutler and Frith have been touring Europe, Asia and the Americas since 1978 and have given dozens of duo performances. Three albums from some of these concerts have been released by Recommended Records. In December 2006, Cutler, Frith and Hodgkinson performed together at The Stone in New York City, their first concert performance since Henry Cow's demise in 1978.
In 1995 Frith moved to Stuttgart in Germany to live with his wife, German photographer Heike Liss and their children Finn and Lucia. Between 1994 and 1996, Frith was Composer-in-Residence at L’Ecole Nationale de Musique in Villeurbanne, France.
Frith relocated to the United States in 1997 to become Composer-in-Residence at Mills College in Oakland, California. In 1999 he was appointed the Luther B. Marchant Professor of Composition in the Music Department at Mills where he currently teaches composition, contemporary performance and improvisation. While he had never studied music in college, Frith's credentials of over forty years of continuous practice and self-discovery got him the position. He has, however, maintained that "most of my students are better qualified to teach composition than I am," and that he learns as much from them as they learn from him.
In March 1997 Frith formed the electro-acoustic improvisation and experimental trio Maybe Monday with saxophonist Larry Ochs from Rova Saxophone Quartet and koto player Miya Masaoka. Between 1997 and 2008 they toured the United States, Canada and Europe and released three albums. In March 2008 Frith formed Cosa Brava, an experimental rock and improvisation quartet with Zeena Parkins from Skeleton Crew and Keep the Dog, and Carla Kihlstedt and Matthias Bossi from Sleepytime Gorilla Museum, and The Norman Conquest. They toured Europe in April 2008 and performed at the 25th Festival International de Musique Actuelle de Victoriaville in Victoriaville, Quebec, Canada in May 2008.
==Equipment==
For Frith's early unstructured music, as with Henry Kaiser on ''With Friends Like These'', and his early table-top guitar solo performances, he used a homemade six- and eight-string double-neck guitar, created by a friend Charles Fletcher. Frith told ''Down Beat'' magazine in 1983: "It was the one and only guitar that he ever built ... he constructed it mainly out of old pieces from other guitars that I had, and for the body I think he used an old door." The possibilities offered by homemade instruments prompted Frith to start creating his own guitars, basically slabs of wood on which he mounted a pickup, a bridge, and strings stretched over metal screws. "The basic design of the instrument is supposed to be as rudimentary and flexible as possible," Frith said, "so I can use an electric drill to bore holes into the body of it to achieve certain sounds ... ."
Frith has used a variety of picks with his guitars, from traditional guitar picks to violin bows, drum sticks, egg beaters, paint brushes, lengths of metal chain and other found objects. Frith remarked: "It's more to do with my interest in found objects and the use of certain kinds of textures which have an effect on the string ... the difference between the touch of stone, the touch of glass, the touch of wood, the touch of paper — those kinds of basic elements that you're using against the surface of the strings which produce different sounds."
In a typical solo improvising concert, Frith would lay a couple of his homemade guitars flat on a table and play them with a collection of found objects (varying from concert to concert). He would drop objects, like ball bearings, dried beans and rice, on the strings while stroking, scraping and hitting them with whatever was on hand. Later he added a live sampler to his on-stage equipment, which he controlled with pedals. The sampler enabled him to dynamically capture and loop guitar sounds, over which he would capture and loop new sounds, and so on, until he had a bed of repeated patterns on top of which he would then begin his solo performance.
;Amplification:
Category:1949 births Category:Living people Category:20th-century classical composers Category:21st-century classical composers Category:English guitarists Category:English violinists Category:English bass guitarists Category:English keyboardists Category:English composers Category:British film score composers Category:English experimental musicians Category:Free improvisation Category:Canterbury scene Category:Alumni of Christ's College, Cambridge Category:English multi-instrumentalists Category:People from Wealden (district) Category:Henry Cow members Category:The Golden Palominos members Category:Tzadik Records artists Category:Moers Music artists
de:Fred Frith es:Fred Frith fr:Fred Frith it:Fred Frith hu:Fred Frith nl:Fred Frith no:Fred Frith pl:Fred Frith pt:Fred Frith ru:Фрит, Фред fi:Fred Frith sv:Fred FrithThis text is licensed under the Creative Commons CC-BY-SA License. This text was originally published on Wikipedia and was developed by the Wikipedia community.
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