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Adaptive Background Suppression For Real-Time Signal Processing

When using an adaptive filter for real-time signal processing, the filter coefficients must be modified in real time and fast computation methods for determining optimal filter coefficients are essential. The optimal coefficients for signal detection and background suppression depend upon the statistics of the background noise and the characteristics of the signal pulse. A novel approach for calculating optimal filter coefficients has been devised which makes use of symmetries in the coefficients (derived from symmetries in the noise statistics and the signal) to reduce computation requirements significantly. For example, with a five-by-five two-dimensional spatial filter there are 25 coefficients which must be determined, and the conventional approach requires over 5000 multiplications and 5000 additions. When symmetries exist, there are only 6 distinct values for the 25 coefficients, which reduces the required calculations to 75 multiplications and 75 additions. Detailed examples of temporal filtering, spatial filtering, and multispectral filtering illustrate the efficacy of the procedure in practical situations.