用状态空间模型估计移动麦克风的动态声学响应，提升空间变化场景下的建模精度。
State-Space Estimation of Spatially Dynamic Room Impulse Responses using a Room Acoustic Model-based Prior
- 基于图像源模型构建状态空间，将动态距离融入状态转移矩阵。
- 在仿真中优于现有插值与状态估计方法，早期响应估计更准确。
- 适合研究移动设备语音处理或智能空间声学系统的设计者。
在固定扬声器与麦克风位置之间，房间冲激响应（RIR）可通过多种成熟测量与推断方法获得。然而，当扬声器与麦克风发生移动时，系统随时间变化，传统方法不再适用。若采用图像源模型表示RIR，移动会导致各图像源距离随时间变化，使动态RIR估计尤为困难。本文提出一种针对静止声源与沿直线以恒定速度移动的麦克风之间的早期动态RIR估计方法。该方法基于状态空间模型：待估计状态为早期RIR，观测值为动态场景下的麦克风录音，状态转移矩阵通过轨迹起点和终点的静态RIR计算得到，并引入随时间变化的图像源距离。仿真结果表明，该方法在性能上优于当前主流的RIR插值与状态空间估计方法，展现出良好的应用潜力。
原文摘要 · Abstract (English)
The estimation of room impulse responses (RIRs) between static loudspeaker and microphone locations can be done using a number of well-established measurement and inference procedures. While these procedures assume a time-invariant acoustic system, time variations need to be considered for the case of spatially dynamic scenarios where loudspeakers and microphones are subject to movement. If the RIR is modeled using image sources, then movement implies that the distance to each image source varies over time, making the estimation of the spatially dynamic RIR particularly challenging. In this paper, we propose a procedure to estimate the early part of the spatially dynamic RIR between a stationary source and a microphone moving on a linear trajectory at constant velocity. The procedure is built upon a state-space model, where the state to be estimated represents the early RIR, the observation corresponds to a microphone recording in a spatially dynamic scenario, and time-varying distances to the image sources are incorporated into the state transition matrix obtained from static RIRs at the start and end point of the trajectory. The performance of the proposed approach is evaluated against state-of-the-art RIR interpolation and state-space estimation methods using simulations, demonstrating the potential of the proposed state-space model.
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