Filterfolgen

Filterfolgen, also known as filter sequences or filter chains, are a fundamental concept in signal processing and image processing. They refer to a series of filters applied sequentially to an input signal or image. Each filter in the sequence modifies the data based on its specific operation, and the output of one filter becomes the input for the next. This allows for complex transformations to be built by combining simpler filtering operations.

The order in which filters are applied in a filterfolgen can significantly impact the final result. Some filter operations are commutative, meaning their order doesn't matter. However, many are not, and reversing the order can lead to a different outcome. For example, in image processing, applying a blur filter followed by an edge detection filter will produce a different result than applying edge detection first and then blurring.

Common applications of filterfolgen include noise reduction, feature extraction, and signal enhancement. For instance, a sequence might start with a low-pass filter to remove high-frequency noise, followed by a sharpening filter to enhance details. In digital signal processing, filterfolgen are used in audio equalization, spectral analysis, and modulation/demodulation schemes. The modular nature of filterfolgen makes them a powerful tool for designing complex processing pipelines in a systematic and understandable way.