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DAnS User Manual Bessel Filter................................................................................................................................................ 39 Butterworth Filter ...................................................................................................................................... 39 Chebyshev Filter ........................................................................................................................................ 40 Inverse Chebyshev Filter ............................................................................................................................ 40 Elliptic Filter ............................................................................................................................................... 41 Equiripple Bandpass Filter ......................................................................................................................... 42 Equiripple Bandstop Filter ......................................................................................................................... 42 Equiripple Highpass Filter .......................................................................................................................... 43 Equiripple Lowpass Filter ........................................................................................................................... 43 Median Filter ............................................................................................................................................. 44 FIR Windowed Filter .................................................................................................................................. 44 Fitting................................................................................................................................................................. 45 Linear Fit .................................................................................................................................................... 45 Exponential Fit ........................................................................................................................................... 47 Power Fit.................................................................................................................................................... 49 Logarithmic Fit ........................................................................................................................................... 51 Gaussian Peak Fit ....................................................................................................................................... 52 Polynomial Fit ............................................................................................................................................ 55 Cubic Spline Fit .......................................................................................................................................... 57 Transforms......................................................................................................................................................... 58 Fast Fourier Transform .............................................................................................................................. 59 Fast Hilbert Transform ............................................................................................................................... 60 Inverse Fast Hilbert Transform .................................................................................................................. 61 Fast Hartley Transform .............................................................................................................................. 61 Inverse Fast Hartley Transform.................................................................................................................. 62 Walsh Hadamard Transform ...................................................................................................................... 63 Inverse Walsh Hadamard Transform ......................................................................................................... 64 Laplace Transform ..................................................................................................................................... 65 Mathematics...................................................................................................................................................... 66 Integral ...................................................................................................................................................... 66 Derivative................................................................................................................................................... 66 Spectral Analysis ................................................................................................................................................ 68 2 © RAFA Solutions, 2014