eess.IVSep 17, 2026

Compression Hurts, Pooling Helps: Information Loss in Rayleigh-Scale Estimation from B-Mode Ultrasound

Authors: D. Hudson SmithAhmer Raza

Organizations: Clemson University

Abstract

Clinical B-mode images are widely available as potential data sources for quantitative ultrasound (QUS) analysis for tissue characterization. However, standard clinical ultrasound devices apply unknown log-compression to RF envelope data before display and storage. Previous work has demonstrated estimation of the underlying RF envelope statistics in the presence of an unknown compression law. Using Fisher information analysis, we show that finite-offset log compression causes severe information loss when estimating the Rayleigh scale σσ, which controls diffuse speckle. For a single image window, unknown compression raises the minimum achievable variance for unbiased estimation of σσ by a compression-independent factor of approximately \FisherMinInflation\FisherMinInflation. When MM equal-sized windows share the same unknown compression settings, the excess variance decays as 1/M1/M; even in the most favorable regime, reducing the variance inflation factor below 1.11.1 requires \FisherBestCaseWindows\FisherBestCaseWindows windows. Our analysis treats the contrast parameter aa as unknown and the boundary offset bb as known; estimating bb experimentally shows even larger variance. We validate this theory using synthetic estimation experiments and demonstrate RF-scale recovery on real RF-envelope windows from the OASBUD dataset. Together, these results clarify the limitations of using routine B-mode images for QUS.

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