The problem is there is no real way to estimate redundancy of a real signal of specific form, or more importantly discerning between likely alias vs likely true

The problem is there is no real way to estimate redundancy of a real signal of specific form, or more importantly discerning between likely alias vs likely true signal given a signal with unknown statistics. The statistical approach might work for simple clean signals but makes critical mistakes in case of complex ones. Specifically you get to estimate true phase and true magnitude in a given subband...