This paper introduces a novel methodology leveraging differentiable programming to design efficient, constrained adaptive non-uniform Linear Differential Microphone Arrays (LDMAs) with reduced implementation costs. Utilizing an automatic differentiation framework, we propose a differentiable convex approach that enables the adaptive design of a filter with a distortionless constraint in the desired sound direction, while also imposing constraints on microphone positioning to ensure consistent performance. This approach achieves the desired Directivity Factor (DF) over a wide frequency range and facilitates effective recovery of wide-band speech signals at lower implementation costs.

翻译：本文提出了一种利用可微分编程设计高效、受约束的自适应非均匀线性差分传声器阵列的新方法，该方法降低了实现成本。通过利用自动微分框架，我们提出了一种可微分的凸优化方法，使得滤波器能够在期望声源方向满足无失真约束的条件下进行自适应设计，同时对传声器位置施加约束以确保性能一致性。该方法在宽频带范围内实现了期望的指向性因子，并以较低的实现成本促进了宽带语音信号的有效恢复。