Möbius Inversion = Deconvolution (Number Theory Meets DSP)
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YouTubeThinking In Math
Möbius Inversion = Deconvolution (Number Theory Meets DSP)
In this bonus mini-lecture, we look at Mobius inversion through a signal-processing lens and see it as a deconvolution problem. We build a dictionary between: - discrete-time convolution x * h and Dirichlet convolution f * g, - the constant “all-ones” kernel and the divisor-sum operator f * 1, - the unit impulse δ[n] and the Dirichlet ...
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