English

New Fast Transform for Orthogonal Frequency Division Multiplexing

Signal Processing 2023-10-30 v1

Abstract

In this paper, a new fast and low complexity transform is introduced for orthogonal frequency division multiplexing (OFDM) wireless systems. The new transform combines the effects of fast complex-Walsh-Hadamard transform (CHT) and the fast Fourier transform (FFT) into a single unitary transform named in this paper as the complex transition transform (CTT). The development of a new algorithm for fast calculation of the CT transform called FCT is found to have all the desirable properties such as in-place computation, simple indexing scheme and considerably lower arithmetic complexity than existing algorithms. Furthermore, a new OFDM system using the FCT algorithm is introduced and its performance has been evaluated. The proposed CT-OFDM achieves a noticeable reduction in peak-to-average-power-ratio (PAPR) and a significant improvement in the bit-error-rate (BER) performance compared with the conventional OFDM.

Keywords

Cite

@article{arxiv.2310.18064,
  title  = {New Fast Transform for Orthogonal Frequency Division Multiplexing},
  author = {Said Boussakta and Mounir T. Hamood and Mohammed Sh. Ahmed},
  journal= {arXiv preprint arXiv:2310.18064},
  year   = {2023}
}

Comments

12 pages, 8 figures, 1 table

R2 v1 2026-06-28T13:03:42.023Z