奈奎斯特滤波器消除码间干扰的辅助因子方法
Auxiliary Factor Method to Remove ISI of Nyquist Filters
AI总结：
提出利用辅助因子补偿截断傅里叶变换，完全消除奈奎斯特滤波器的码间干扰，不受窗口长度限制，并改善定时抖动性能。
摘要：
众所周知，奈奎斯特第一条件在频域推导中保证了无码间干扰（ISI）。然而，使用FIR滤波器进行实际实现时，其窗口会截断傅里叶变换，使得数学计算无法达到零ISI的理想解。为获得更好的结果，通常需要增加窗口长度。为解决此问题，本文提出一种新方法，利用辅助因子（AFs）补偿截断傅里叶变换的不足，并完全消除ISI，而不受窗口长度限制。此外，在存在定时抖动的情况下，性能也得到显著改善。本文推导了AFs的闭式解，并通过仿真结果确认了其有效性。最后，分析了传输延迟和额外计算复杂度的问题。
英文摘要：
As has been known, the Nyquist first condition promises no intersymbol interference (ISI) as derived in the frequency domain. However, the practical implementation using the FIR filter truncates the Fourier transform by its window and prevents the mathematical calculation from reaching the ideal solution at zero-ISI. For obtaining better results, an increase in the window's length is required in general. To address this problem, a new approach is presented by using auxiliary factors (AFs) to compensate shortcomings of the truncated Fourier transform and remove the ISI completely, regardless of the window's length. In addition, the performance in the presence of the timing jitter is also improved significantly. The closed-form solution of the AFs is derived and the effectiveness is confirmed by the simulation results. Finally, the problems of the transmission delay and additional calculation complexity are analysed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
