Fixed-pattern noise is the term given to a particular noise pattern on digital imaging sensors often noticeable during longer exposure shots where particular pixels are susceptible to giving brighter intensities above the general background noise.
Overview
FPN is a general term that identifies a temporally constant lateral non-uniformity in an imaging system with multiple detector or picture elements. It is characterised by the same pattern of 'hot' and cold pixels occurring with images taken under the same illumination conditions in an imaging array. This problem arises from small differences in the individual responsitivity of the sensor array that might be caused by variations in the pixel size, material or interference with the local circuitry. It might be affected by changes in the environment like different temperatures, exposure times, etc. The term "fixed pattern noise" usually refers to two parameters. One is the dark signal non-uniformity, which is the offset from the average across the imaging array at a particular setting but no external illumination and the photo response non-uniformity, which describes the gain or ratio between optical power on a pixel versus the electrical signal output. The latter is often simplified as a single value measured at e.g. 50% saturation level, implying a linear approximation of the not perfectly linear photo response non-linearity. Often PRNU as defined above is subdivided in pure " FPN" which is the part not dependent on temperature and integration time, and the integration time and temperature dependent "DSNU". Sometimes pixel noise as the average deviation from the array average under different illumination and temperature conditions is specified. Pixel noise therefore gives a number that identifies FPN in all permitted imaging conditions, which might strongly deteriorate if additional electrical gain is included. Recent uses for PRNU include measures to fighting motion picture piracy. In practice, a long exposure emphasizes the inherent differences in pixel response so they may become a visible defect, degrading the image. Although FPN does not change appreciably across a series of captures, it may vary with integration time, imager temperature, imager gain and incident illumination, it is not expressed in a random spatial distribution, occurring only at certain, fixed pixel locations.
Suppression of FPN
FPN is commonly suppressed by flat-field correction that uses DSNU and PRNU to linearly interpolate and reduce the local photo response to the array average. Hence, two exposures with an equal illumination across the array are necessary to obtain the values. Note that this correction usually is very sensitive to modifications of the system parameters. The main challenge is to generate a flat field illumination for short time exposures and wavelengths, to avoid speckle and statistical fluctuations of the light stream that become most obvious at short integration times. Many patents and methods exist to reduce or eliminate fixed pattern noise in digital imagers . Specific for the suppression of "offset FPN" as defined above, on-chip techniques for suppression exist, such as correlated double sampling.
