Of course, there is no classic in this domain yet, but as some such solutions already exist (to my knowledge, Zanden is the only commercial equivalent)... Notches are centered at the sampling frequency multiples. Amplitude and phase response look like this.
These are the FFTs of the 1kHz, 10kHz and 20kHz sinewave signals. Also, 20kHz sinewave (ok, "sinewave") is shown in the time domain.
