Construct · 3 fields · 4 citations

Where does dither collide?

One name. Different field. Different construct. One map.

● jingle · one word, three constructs Nearest construct by meaningquantizationcompare the meanings
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dither3 CONSTRUCTSAudio ditherSCHUCHMAN · DITHER NOISEGraphics ditherULICHNEY · PIXEL PATTERNControl ditherZAMES · ANTI-STICTION

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2026

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Signal processing and audio

Noise added before quantization

In digital audio and other quantized signals, dither is a small, random noise signal added on purpose to the waveform just before it is rounded to a limited number of bits. Without it, the rounding error is correlated with the signal and shows up as harsh distortion and false harmonics; adding the noise turns that error into a steady, benign hiss instead, so quiet detail survives below the resolution of the system. Schuchman's 1964 Dither Signals and Their Effect on Quantization Noise gave the classic condition under which the added noise fully decorrelates the quantization error from the signal, and Lipshitz, Vanderkooy, and Wannamaker's 1992 Quantization and Dither: A Theoretical Survey laid out the audio theory in full. The referent here is a randomised value spread across samples in time, traded for a slightly raised noise floor, and it is not a spatial arrangement of pixels or a vibration fed into a mechanical valve.[1][2]

Unit
A random noise value added per sample before rounding, scaled to about one quantisation step
Recovery means
Not applicable
Measured by
Set by the noise probability distribution and its level in bits, and checked by the whiteness and independence of the leftover quantisation error

Computer graphics

Pixel patterns faking more tones

In computer graphics and printing, dithering approximates a colour or grey tone the device cannot show by scattering the few colours it does have across nearby pixels, so the eye blends them into the missing shade. The pattern can be a fixed matrix, as in ordered or Bayer dithering, or it can be computed by pushing each pixel's rounding error into its neighbours, as in Floyd and Steinberg's error-diffusion method. Ulichney's 1988 Dithering with blue noise reviewed these methods and argued for patterns whose structure is least visible to the eye. The referent is a spatial layout of a limited palette that fakes extra tones and is judged by how it looks, unrelated to a random noise added to an audio sample or a signal injected to free a sticking mechanism.[3]

Unit
A per-pixel choice from a limited palette, arranged over a spatial neighbourhood
Recovery means
Not applicable
Measured by
Judged by perceived tone accuracy and by the spatial-frequency content of the pattern, ideally high-frequency blue noise

Control engineering

a small, fast oscillation injected into a servo, valve, or actuator to smooth away static friction, or stiction.

In control engineering, dither is a small, fast oscillation deliberately injected into a servo, valve, or actuator so that a troublesome nonlinearity, above all the static friction, or stiction, that makes a part stick before it slips, is smoothed away. The rapid back-and-forth keeps the part in constant tiny motion, so it answers small commands instead of jamming, and the loop behaves as though the sharp nonlinearity had been replaced by a gentler averaged one. Zames and Shneydor's 1976 Dither in nonlinear systems gave the mathematical account of how a high-frequency dither linearises such a nonlinearity. The referent is a mechanical or electrical vibration chosen to overcome friction in a physical device, not a random noise added before digitising audio or a pattern of pixels standing in for missing colours.[4]

Unit
A high-frequency signal added to the control input, scaled by its amplitude and frequency
Recovery means
The inertia and low-pass response of the plant average the dither away, so it does not appear in the slow useful output
Measured by
Characterised by the dither amplitude and frequency, and by how far the effective nonlinearity is smoothed

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Nearby collisions

noise4 fields · 5 citationsjingle · one word, four constructssignal5 fields · 5 citationsjingle · one word, five constructsaliasing4 fields · 4 citationsjingle · one word, four constructs

References

  1. Schuchman, L. (1964). Dither signals and their effect on quantization noise. IEEE Transactions on Communication Technology, 12(4), 162–165. https://doi.org/10.1109/TCOM.1964.1088973
  2. Lipshitz, S. P., Vanderkooy, J., & Wannamaker, R. A. (1992). Quantization and dither: A theoretical survey. Journal of the Audio Engineering Society, 40(5), 355–375.
  3. Ulichney, R. A. (1988). Dithering with blue noise. Proceedings of the IEEE, 76(1), 56–79. https://doi.org/10.1109/5.3288
  4. Zames, G., & Shneydor, N. A. (1976). Dither in nonlinear systems. IEEE Transactions on Automatic Control, 21(5), 660–667. https://doi.org/10.1109/TAC.1976.1101357

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