Each of these sensors provides a Mx1 spectrum. Therefore, for each spectral component, there is an image representing the amplitude over a mapped space. This represents a 2-D increase in information over conventional spectrometers which have only one sensor. However, the down side is that there is an incredible amount of data to process, compress, deliver, and analyze. Real-time processing of such data sets is nearly impossible with current signal processing algorithms and hardware technology.
Conventional algorithms use a variety of different filters for processing image data.
These filters are implemented using many multipliers and adders. The multipliers are a bottleneck to high speed computations. The multiplications can now be implemented using simple shifting operations. In VLSI implementations, multiplierless filters are ideal because of their high speed and low power. The design of 2-D multiplierless filters is a long standing open problem.