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本文提出用快速数论变换实现TDM/FDM转换的新方案,详细讨论了转换算法及设计方法。与其他一些方案相比,由于DFT和多相网络部分均采用Fermat数变换(FNT)计算,因而降低了运算量,并且通常的方案需要的相位补偿在本方案中并入多相滤波序列预先计算,使乘法次数进一步降低。此外,由于采用数论变换计算,无舍入误差,从而提高了系统的信噪比。计算机模拟结果表明,系统具有较好的性能。
In this paper, a new scheme of TDM / FDM conversion using fast number theory transformation is proposed. The conversion algorithm and design method are discussed in detail. Compared with some other schemes, the calculation of Fermat number transform (FNT) is used in both DFT and multiphase networks, which reduces the computational complexity and the phase compensation required by the conventional scheme is pre-calculated in this scheme by incorporating polyphase filter sequences , To further reduce the number of multiplications. In addition, due to the use of number theory transform calculation, no rounding error, thereby improving the system’s signal to noise ratio. Computer simulation results show that the system has better performance.