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Binaural reproduction for headphone-based listening is an active researcharea due to its widespread use in evolving technologies such as augmented andvirtual reality (AR and VR). On the one hand, these applications demand highquality spatial audio perception to preserve the sense of immersion. On theother hand, recording devices may only have a few microphones, leading tolow-order representations such as first-order Ambisonics (FOA). However,first-order Ambisonics leads to limited externalization and spatial resolution.In this paper, a novel head-related transfer function (HRTF) preprocessingoptimization loss is proposed, and is minimized using nonlinear programming.The new method, denoted iMagLS, involves the introduction of an interaurallevel difference (ILD) error term to the now widely used MagLS optimizationloss for the lateral plane angles. Results indicate that the ILD error could besubstantially reduced, while the HRTF magnitude error remains similar to thatobtained with MagLS. These results could prove beneficial to the overallspatial quality of first-order Ambisonics, while other reproduction methodscould also benefit from considering this modified loss.

iMagLS: Interaural Level Difference with Magnitude Least-Squares Loss for Optimized First-Order Head-Related Transfer Function