Learning to Separate RF Signals Under Uncertainty: Detect-Then-Separate vs. Unified Joint Models

πŸ“… 2026-02-04
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This work proposes a Unified Joint Model (UJM) to address heterogeneous, non-Gaussian interference of unknown types in single-channel RF signals. UJM uniquely integrates interference detection and separation within a single deep neural network, departing from conventional Detect-Then-Separate (DTS) strategies that rely on multiple specialized models. Built upon a complex-valued UNet architecture and incorporating Gaussian mixture modeling with maximum a posteriori detection theory, UJM enables end-to-end joint optimization directly on baseband signals. Theoretical analysis establishes the asymptotic optimality of DTS as a performance benchmark. Experimental results demonstrate that UJM matches the performance of ideal DTS across diverse signal-to-interference-plus-noise ratios, interference types, and modulation orders, while maintaining robustness under mismatched training/test interference proportions, thereby exhibiting strong scalability and practical utility.

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πŸ“ Abstract
The increasingly crowded radio frequency (RF) spectrum forces communication signals to coexist, creating heterogeneous interferers whose structure often departs from Gaussian models. Recovering the interference-contaminated signal of interest in such settings is a central challenge, especially in single-channel RF processing. Existing data-driven methods often assume that the interference type is known, yielding ensembles of specialized models that scale poorly with the number of interferers. We show that detect-then-separate (DTS) strategies admit an analytical justification: within a Gaussian mixture framework, a plug-in maximum a posteriori detector followed by type-conditioned optimal estimation achieves asymptotic minimum mean-square error optimality under a mild temporal-diversity condition. This makes DTS a principled benchmark, but its reliance on multiple type-specific models limits scalability. Motivated by this, we propose a unified joint model (UJM), in which a single deep neural architecture learns to jointly detect and separate when applied directly to the received signal. Using tailored UNet architectures for baseband (complex-valued) RF signals, we compare DTS and UJM on synthetic and recorded interference types, showing that a capacity-matched UJM can match oracle-aided DTS performance across diverse signal-to-interference-and-noise ratios, interference types, and constellation orders, including mismatched training and testing type-uncertainty proportions. These findings highlight UJM as a scalable and practical alternative to DTS, while opening new directions for unified separation under broader regimes.
Problem

Research questions and friction points this paper is trying to address.

RF signal separation
interference uncertainty
single-channel processing
non-Gaussian interference
signal recovery
Innovation

Methods, ideas, or system contributions that make the work stand out.

Unified Joint Model
Detect-Then-Separate
RF Signal Separation
Deep Learning
Gaussian Mixture Model
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Ariel Rodrigez
Bar-Ilan University, Ramat Gan, Israel
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A. Lancho
Universidad Carlos III de Madrid, Spain & Gregorio MaraΓ±Γ³n Health Research Institute, Spain
Amir Weiss
Amir Weiss
Bar-Ilan University
Statistical Signal ProcessingEstimation TheoryMachine Learning