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arXiv cs.CL · Papers

Research Report on Noise-Shaped One-Bit Coefficients in Discrete Polynomial Fourier Extension

arXiv:2607.24868v1 Announce Type: new Abstract: This report studies noise-shaped one-bit coefficients in normalized discrete polynomial Fourier extension. For first-order Sigma-Delta quantization, the error is written as $e_k=u_k-q_k=Delta v_k$ with a uniformly bounded state. Discrete summation by parts then yields va