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Hd = dfilt.df2(b,a)
Hd = dfilt.df2
Hd = dfilt.df2(b,a) returns a discrete-time, direct-form II filter, Hd, with numerator coefficients b and denominator coefficients a.
Hd = dfilt.df2 returns a default, discrete-time, direct-form II filter, Hd, with b=1 and a=1. This filter passes the input through to the output unchanged.

The resulting filter states column vector is
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Create a direct-form II discrete-time filter with coefficients from a fourth-order lowpass Butterworth design:
[b,a] = butter(4,.5); Hd = dfilt.df2(b,a)
dfilt, dfilt.df1, dfilt.df1t, dfilt.df2t

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