This paper presents novel methods for determining if dither is needed when reducing the bit depth of a one dimensional digital signal. These are statistical based methods in both the time and frequency domains, and are based on determining whether the quantization noise with no dither added is white. If this is the case, then no undesired harmonics are added in the quantization or re-quantization process. Experiments showing the effectiveness of the methods with both synthetic and real audio signals are presented.
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