Quantized harmonic signal spectrum calculation

The article provides a derivation of formulas for calculating the signal spectrum at the output of a quantizer with a different number of quantization levels along the ordinate axis when a harmonic signal of unit amplitude arrives at its input. Moreover, Chebyshev polynomials of the second kind with the normalization are used in the formulas obtained. The author draws the reader's attention to the fact that this normalization of Chebyshev polynomials of the second kind differs from the normalization of these polynomials used in other sources. In the paper, formulas are also given for calculating the signal spectrum, using the Chebyshev polynomials with the proposed normalization.