I've also been studying the M&M code for a while and run into your same difficulty. The interpolating filter works _but_ you need to take into account that it produces a _delay_. M&M uses an interpolator of 8 taps. Being your input [x0, x1, x2, x3, x4, x5, x6, ...] and mu=0.0 you will see how the output is exactly equal to x3. If you set mu to 1.0 the output is going to be x4. Values between (0.0, 1.0) will produce the appropriate interpolated value that goes between x3 and x4. There is a delay of 3 samples.

This delay doesn't affect the timing control value mm_val in M&M implementation, but definitely makes its analysis more complicated.

Hope this is still useful to you. Cheers,

Ed
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