Over the last twenty years, combination of adaptive filters has emerged to provide a potential solution in the development of advanced applications, such as channel equalization, active noise control, acoustic echo cancelation, adaptive beamforming, among others. Several authors have demonstrated that the combination of two filters with complementary capabilities improves the overall filter performance in comparison when a single filter is used. Commonly, these combinations employ a fast filter and slow filter to guarantee fast convergence speed and low steady-state mean square error (MSE), respectively, at the cost of increasing their computational complexity. However, those combinations have not been well analysed and compared. Currently, this aspect is crucial since most of the current convex combination of adaptive filters could be implemented in advanced embedded digital devices to be used in real-time signal processing applications. In this work, we evaluate the convex combination of adaptive filters, mainly including those based on least mean square (LMS) algorithm, the affine projection (AP) algorithm and the recursive least mean square (RLS) algorithm. We carry out an extensive performance evaluation to demonstrate the advantages and disadvantages of each approach. Specifically, we simulate them in fixed point, which makes feasible the rapid development of advanced prototypes. This aspect could be potentially valuable to the signal processing engineering communities.

在过去的二十年中，出现了自适应滤波器的组合，为高级应用程序的开发提供了潜在的解决方案，例如信道均衡、有源噪声控制、声学回声消除、自适应波束形成等。几位作者已经证明，与使用单个滤波器相比，两个具有互补功能的滤波器的组合提高了整体滤波器性能。通常，这些组合采用快速滤波器和慢速滤波器来分别保证快速收敛速度和低稳态均方误差 (MSE)，但代价是增加了它们的计算复杂性。但是，这些组合尚未得到很好的分析和比较。现在，这方面至关重要，因为当前大多数自适应滤波器的凸组合都可以在高级嵌入式数字设备中实现，用于实时信号处理应用。在这项工作中，我们评估自适应滤波器的凸组合，主要包括基于最小均方（LMS）算法，仿射投影（AP）算法和递归最小均方（RLS）算法的自适应滤波器。我们进行了广泛的性能评估，以证明每种方法的优缺点。具体来说，我们对它们进行定点模拟，这使得快速开发高级原型成为可能。这方面可能对信号处理工程社区具有潜在价值。我们评估了自适应滤波器的凸组合，主要包括基于最小均方（LMS）算法、仿射投影（AP）算法和递归最小均方（RLS）算法的自适应滤波器。我们进行了广泛的性能评估，以证明每种方法的优缺点。具体来说，我们对它们进行定点模拟，这使得快速开发高级原型成为可能。这方面可能对信号处理工程社区具有潜在价值。我们评估了自适应滤波器的凸组合，主要包括基于最小均方（LMS）算法、仿射投影（AP）算法和递归最小均方（RLS）算法的自适应滤波器。我们进行了广泛的性能评估，以证明每种方法的优缺点。具体来说，我们对它们进行定点模拟，这使得快速开发高级原型成为可能。这方面可能对信号处理工程社区具有潜在价值。具体来说，我们对它们进行定点模拟，这使得快速开发高级原型成为可能。这方面可能对信号处理工程社区具有潜在价值。具体来说，我们对它们进行定点模拟，这使得快速开发高级原型成为可能。这方面可能对信号处理工程社区具有潜在价值。