Monday, November 12, 2018

sampling - Precise 5th and 7th harmonics of a sampled sine wave


Does anyone know in decibels (to 1/100th of a dB) what the theoretical 3rd, 5th and 7th harmonic of a 0dB fs 24-bit (i.e. full-level; 0dB = -8,388,607 to 8,388,607) sampled sine wave without dither will be? Where the harmonics are a product of the sampling process (caused by the effect of the discrete sampled steps). Better still, how I calculate the theoretical values for the harmonic components.


The fundamental is around 1,000Hz (happy to use exactly 1kHz). The sampling frequency is 48kHz. Asynchronous sampling.




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