The signal-to-interference ratio (SIR) of the Affine Filter Bank Modulation (AFBM) waveform is analyzed under minimum mean square error (MMSE) equalization in two domains; namely, the affine domain and the filtered time-domain (TD). Due to the incorporation of the discrete affine Fourier transform (DAFT) and despreading/mapping, an interesting and counter-intuitive cancellation of the unwanted combination of the channel induced interference with the orthogonality approximation error is seen in the filtered TD, a process which does not occur in the affine domain. The direct impact on bit error rate (BER) provides a thorough validation of the proposed analysis and explains the substantial gains in performance of the filtered TD detection scheme as opposed to its affine domain equivalent
@article{arxiv.2511.21615,
title = {SIR Analysis for Affine Filter Bank Modulation},
author = {Henrique L. Senger and Gustavo P. Gonçalves and Bruno S. Chang and Hyeon Seok Rou and Kuranage Roche Rayan Ranasinghe and Giuseppe Thadeu Freitas de Abreu and Didier Le Ruyet},
journal= {arXiv preprint arXiv:2511.21615},
year = {2025}
}