# Single Pole IIR Filter

The input and output satisfy a difference equation of the form y[n] - (1-alpha) y[n-1] = alpha x[n]

with the corresponding rational system function H(z) = \frac{alpha}{1 - (1-alpha) z^{-1}}

Note that some texts define the system function with a + in the denominator. If you're using that convention, you'll need to negate the feedback tap.

Alpha (R)

C++ files
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