QTAM: QTransform Amplitude Modulation
Lorenzo Asprea, Francesco Sarandrea, Alessio Romano, Jacob Lange, Federica Legger, Sara Vallero

TL;DR
QTAM is a new invertible time-frequency transform inspired by radio amplitude modulation, enabling efficient, lossless signal analysis for gravitational wave data with applications in denoising and event disentanglement.
Contribution
It introduces QTAM, a fully invertible, shift-invariant transform that bridges the gap between computational efficiency and dense, low-latency time-frequency analysis.
Findings
QTAM achieves exact signal reconstruction with machine precision.
It enables low-latency processing suitable for real-time GW analysis.
Demonstrated effectiveness in denoising and disentangling GW signals.
Abstract
We present Q-Transform Amplitude Modulation (QTAM), a novel, fully invertible implementation of the Constant-Q Transform algorithm, designed to enable robust signal denoising and the disentanglement of overlapping transient events in current and next generation gravitational wave (GW) observatories. Time-frequency (TF) analysis faces a fundamental dichotomy: critically sampled transforms are computationally efficient but lack time-shift invariance, limiting their efficacy for robust pattern recognition and Deep Learning applications. While alternative approaches such as the Dual-Tree Complex Wavelet Transform provide efficient approximate shift-invariance, their wavelet constructions remain tied to dyadic scale frequency tilings that are poorly matched to the simultaneous representation of GW chirps and instrumental glitches. Conversely, overcomplete transforms provide the necessary…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
