When dealing with bits, the situation is different since algebraic degrees of freedom (dimensions or coefficients of sinusoids) are different than information d

When dealing with bits, the situation is different since algebraic degrees of freedom (dimensions or coefficients of sinusoids) are different than information degrees of freedom (bits). This difference in the context of the sampling theorem is explored in https://arxiv.org/abs/1601.06421 https://arxiv.org/abs/1601.06421, where it is shown that sampling below the Nyquist rate (without additional loss) is possible when the samples must be quantized to satisfy some bit (information) constraint.