English(EN) Research Report on Noise-Shaped One-Bit Coefficients in Discrete Polynomial Fourier Extension

研究报告详述离散多项式傅里叶扩展中的噪声整形系数

作者 PulseAugur 编辑部 · [1 个来源] · 2026-07-29 04:00

本研究报告深入探讨了归一化离散多项式傅里叶扩展中噪声整形单比特系数的复杂性。它探讨了一阶Sigma-Delta量化的误差分析，在紧凑参数集上为特定的抛物线相位建立了O(N^-1)近似率。该研究还推导了高阶有限记录恒等式，并在特定条件下证明了r阶噪声整形误差的O(N^-r)衰减。报告进一步扩展到各种复杂场景，如多维参数族和相关状态模型。 AI

排序理由该项目是一篇在arXiv上发表的研究报告，详细介绍了数学和计算方法。[lever_c_demoted from research: ic=1 ai=0.4]

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arXiv cs.CL TIER_1 English(EN) · Shengquan Wang · 2026-07-29 04:00

离散多项式傅里叶扩展中噪声整形单比特系数的研究报告

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. Di…

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离散多项式傅里叶扩展中噪声整形单比特系数的研究报告

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