SIR Analysis for Affine Filter Bank Modulation

TL;DR

This paper analyzes the SIR of Affine Filter Bank Modulation under MMSE equalization in two domains, revealing counter-intuitive interference cancellation in the filtered time-domain that improves BER performance.

Contribution

It provides a novel analysis of SIR in AFBM, highlighting the benefits of filtered TD detection over affine domain methods due to interference cancellation effects.

Findings

Counter-intuitive interference cancellation in filtered TD

Significant BER performance gains with filtered TD detection

Validation of analysis through thorough BER impact study

Abstract

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