CAJ | 학술논문

总结了完全重建的Ramanujan-Fourier变换（RFT）的矩阵形式，利用RFT具有整数变换及频带分集的特点，提出将RFT变换应用于滤波多载波调制系统，在同样通道数M的情况下（M=64），乘法计算量较快速傅里叶变换（FFT）降低55%。并且推导出一种时域高效实现系统，该系统具有分集增益及频带可选择特性。仿真结果表明，在加性高斯白噪声信道中，该系统在信噪比6dB时误码率可以达到10-4；在瑞利衰落信道中，信噪比14dB时误码率可以达到10-4。
총결료완전중건적Ramanujan-Fourier변환（RFT）적구진형식，이용RFT구유정수변환급빈대분집적특점，제출장RFT변환응용우려파다재파조제계통，재동양통도수M적정황하（M=64），승법계산량교쾌속부리협변환（FFT）강저55%。병차추도출일충시역고효실현계통，해계통구유분집증익급빈대가선택특성。방진결과표명，재가성고사백조성신도중，해계통재신조비6dB시오마솔가이체도10-4；재서리쇠락신도중，신조비14dB시오마솔가이체도10-4。
The matrix form of reconstructive Ramanujan-Fourier Transform (RFT) was present. Base on the integer property and frequency diversity, a Ramanujan-filtered multitone (Ramanujan-FMT) modulation system was proposed. The multiplication computation amount can be reduced by 55%than that of FFT when the number of channels is 64. Furthermore, an efficient implementation system in the time domain was proposed with transition diversity and selective modulation band. The simulation results show that, the BER performance of the new system can reach at 10-4 in AWGN channel with the SNR equal to 6dB, and reach at 10-4 in Rayleigh fading channel with the SNR equal to 14dB.