Generalized Spectral Theory for ΣΔ Quantization with Constant Inputs

The quantization operation has been traditionally analysed in signal processing and data conversion as a source of white noise although it is of deterministic nature. This model has become particularly inaccurate in SigmaDelta modulation where the quantization resolution can be as low as 1-bit. For an important class of SigmaDelta modulators with constant inputs, we build rigorous foundations to the quantization error analysis based on the spectral theory of unitary operators