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"""
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ExponentialFilter(a = 0.1)
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- Exponential filtering (first-order filter) with input-output relation ``y(z) ~ (1 - a) y(z-1) + a u(z-1)``, transfer function
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+ Exponential filtering (first-order filter) with input-output relation ``y(z) = (1 - a) y(z-1) + a u(z-1)``, transfer function
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```math
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Y(z) = \\ dfrac{a}{1 - (1 - a) z^{-1}} U(z)
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```
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"""
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MovingAverageFilter(N = 3)
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- Exponential filtering with input-output relation ``y(z) ~ sum(u(z-i) for i in 0:N-1) / N``.
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+ Exponential filtering with input-output relation ``y(z) = sum(u(z-i) for i in 0:N-1) / N``.
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Please note: this implementation of a moving average filter is not optimized for very large number of filter taps `N`.
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