An Alternative Gaussian Window Approach for FIR Filter Design

The problem of conventional window based FIR filter design lies in its very limited design flexibility and more specifically the lack of control over band edges. We propose an alternative Gaussian window approach for FIR filter design that overcomes these problems of conventional window method. We show that sum of mean shifted Gaussians can be used for flexible filter design. We also derive relations to compute the corresponding impulse response effectively in a non-recursive manner. These relations give precise control over band-edge frequencies. Comparison of precision in control and computational time with other methods is also presented.