On the Design of an Optimal Multi-Tone Jammer Against the Wiener Interpolation Filter

TL;DR

This paper proposes an optimal multi-tone jamming waveform designed to defeat Wiener filter-based anti-jamming techniques, demonstrating that a specific number of tones can render such filters ineffective.

Contribution

It introduces a novel optimization-based design of multi-tone jammers that challenge traditional Wiener filter anti-jamming methods, with analytical proof of effectiveness.

Findings

A multi-tone jammer with L/2+1 tones can nullify Wiener filter anti-jamming.

The proposed design maximizes Bayesian mean squared error of the jammer estimate.

Simulations validate the analytical results under various conditions.

Abstract

In the context of civilian and military communications, anti-jamming techniques are essential to ensure information integrity in the presence of malicious interference. A conventional time-domain approach relies on computing the Wiener interpolation filter to estimate and suppress the jamming waveform from the received samples. It is widely acknowledged that this method is effective for protecting wideband systems against narrowband interference. In this work, this paradigm is questioned through the design of a $K$-tone jamming waveform that is intrinsically difficult to estimate assuming a $L$-tap Wiener interpolation filter. This design relies on an optimization procedure that maximizes the analytical Bayesian mean squared error associated with the jamming waveform estimate. Additionally, an analytical proof is provided showing that a multi-tone jamming waveform composed of $L/2+1$ tones is sufficient to render the Wiener-filter-based anti-jamming module completely ineffective. The analytical results are validated through Monte Carlo simulations assuming both perfect knowledge and practical estimates of the correlation functions of the received signal.