Consider a filter. We can define six transfer functions: H1(z), H2(z), H3(z), H4(z), H5(z), and H6(z)

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Consider a αβγ filter. We can define six transfer functions: H1(z), H2(z), H3(z), H4(z), H5(z), and H6(z) (predicted position, predicted velocity, predicted acceleration, smoothed position, smoothed velocity, and smoothed acceleration). Each transfer function has the form

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The denominator remains the same for all six transfer functions. Compute all the relevant coefficients for each transfer function.

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