In a groundbreaking paper published in the AES Journal, Lipshitz and Vanderkooy pointed out that different types of noise with different probability density functions (PDF) behave differently when used as dithering signals, and suggested optimal dithering signal levels for audio. Gaussian noise requires a higher additional noise level to completely eliminate distortion than rectangular or triangular distribution noise. Triangular distributed noise also minimizes noise modulation – audible changes in the volume level of residual noise behind soft music that draw attention to the noise.  Stimulated Brillouin scattering (SBS) is a nonlinear optical effect that limits the optical power used in fiber optic systems. This power limit can be increased by dithering the frequency of the optical transmitter medium, which is usually implemented by modulating the polarization input of the laser. See also Polarization Scrambling. Dithering is added before each quantification or refruping process to uncorrelate the quantization noise of the input signal and prevent non-linear behavior (distortion). Quantization with a lower bit depth requires higher amounts of dithering. The result of the process always causes distortion, but the distortion is random in nature, so the resulting noise is effectively not correlated with the intended signal.
Some liquid crystal displays use time dithering to achieve a similar effect. By quickly changing the color value of each pixel between two approximate colors in the color space of the control panel, a display panel that only supports 18-bit colors (6 bits per channel) can display a 24-bit color image (8 bits per channel).  Dithering is used in computer graphics to create the illusion of color depth in images on systems with a limited color palette. In a split image, colors that are not available in the palette are approximated by a scattering of colored pixels from the available palette.  The human eye perceives diffusion as a mixture of the colors it contains (see color vision). Distorted images, especially those that use palettes with relatively few colors, can often be distinguished by a characteristic grain or speckled appearance. And the more perfect the engine, the smaller the amount of this “procrastination” will be. A common application of dithering is to display graphics with a wider color gamut more accurately than the display hardware can display. For example, dithering can be used to display a photographic image with millions of colors on video hardware that can only display 256 colors at a time. The 256 available colors would be used to create a distorted approximation of the original image.
Without procrastinating too much, the colors of the original image would be quantified to the nearest available color, resulting in a displayed image that represents a misrepresentation of the original. Imagine someone trying to procrastinate the old man – and get away with it. But even if the total number of colors available in the display hardware is high enough to properly render digital photos in color, the streaks can still be obvious to the eye, especially in large areas with smooth color transitions. Moderate procrastination can solve this problem without giving the impression that the image is grainy. High-end still image processing software often uses these techniques to improve the display. Rectangular Probability Density Function (RPDF) Dithering noise has a uniform distribution; Each value in the specified range has the same probability of occurrence. We can`t procrastinate, we can`t just twiddle our thumbs or wait and see. Figure 4.
Here, the original has been reduced to a palette optimized for 256 colors with Floyd Steinberg procrastinating. Using an optimized palette instead of a fixed palette allows the result to better represent the colors of the original image. If the signal during the regime does not need to undergo additional processing – if it is dipped to its final result for distribution – then coloured dithering or noise shaping is appropriate. This can effectively reduce the audible noise level by bringing most of that noise into a frequency range where it is less critical. The universe enters a cosmic dither as we slide into a bunk at Hampton Rhodus. I said it all when I barely knew if I was on my heels or my heel. The term dither was published shortly after World War II in books on analog calculations and hydraulically operated guns.   Although he did not use the term dither, the concept of dithering to reduce quantization models was first applied by Lawrence G. Roberts in his 1961 MIT master`s thesis and his 1962 paper.  Until 1964, dither was used in the modern sense described in this article.  The technique was already in use at least in 1915, but not under the name of dither.
 dither (third person singular simple present dithers, present participle dithering, simple past and past participle dithered) (intransitive) Colored dithering is sometimes referred to as a filtered dithering to distinguish itself from white noise. Noise shaping is one such application. There are several algorithms designed for dithering. One of the first and still one of the most popular is the Floyd-Steinberg dithering algorithm, which was developed in 1975. One of the strengths of this algorithm is that it minimizes visual artifacts through an error dissemination process. Error scattering algorithms typically produce images closer to the original than simpler dithering algorithms.  Another useful application of dithering is for situations where the graphic file format is the limiting factor. In particular, the commonly used GIF format is limited to the use of 256 colors or less.
[a] Images like these have a defined color palette that contains a limited number of colors that the image can use. In such situations, graphic editing software may be responsible for dithering images before saving them in such restrictive formats. In an analog system, the signal is continuous, but in a digital PCM system, the signal amplitude of the digital system is limited to a set of fixed values or numbers. This process is called quantification. Each encoded value is a discrete step. When a signal is quantified without using dithering, there is a quantification distortion compared to the original input signal. To avoid this, the signal is “dithered”, a process that mathematically completely removes harmonics or other highly unwanted distortions and replaces them with a constant, fixed noise level.  But unlike the epic drama of the 2000 debacle, this result resembles the great British procrastination. Dithering is analogous to the halftone technique used in printing. For this reason, the term dithering is sometimes used as a synonym for the term halftoning, especially in conjunction with digital printing. We procrastinate, we say, we do little while the world moves quickly. Global markets have been remarkably stable while politicians procrastinate, but time is running out.
This leads to the solution of dither. Instead of predictably rounding up or down in a repetitive pattern, it is possible to round up or down in a random pattern.