In this paper we will first prove that the nontrivial L p solutions of the vector refinement equation exist if and only if the corresponding subdivision scheme with a suitable initial function converges in L p...In this paper we will first prove that the nontrivial L p solutions of the vector refinement equation exist if and only if the corresponding subdivision scheme with a suitable initial function converges in L p without assumption of the stability of the solutions. Then we obtain a characterization of the convergence of the subdivision scheme in terms of the mask. This gives a complete answer to the existence of L p solutions of the refinement equation and the convergence of the corresponding subdivision schemes.展开更多
啸叫干扰是语音通信系统中普遍存在的问题,常由扬声器与传声器之间的声反馈引发,严重影响语音质量与系统稳定性。针对传统方法在频率漂移、多频啸叫及实时性能方面的局限,提出一种融合多维特征检测与动态Notch滤波控制的啸叫抑制方法。...啸叫干扰是语音通信系统中普遍存在的问题,常由扬声器与传声器之间的声反馈引发,严重影响语音质量与系统稳定性。针对传统方法在频率漂移、多频啸叫及实时性能方面的局限,提出一种融合多维特征检测与动态Notch滤波控制的啸叫抑制方法。该方法利用均方根(Root Mean Square,RMS)能量趋势、频谱峰值结构、谐波分布及频率稳定性等多特征构建复合检测模型,能够有效区分啸叫、人声与短时冲击信号。在频率定位方面,设计频谱插值细化算法,提高了中心频率估计精度。在滤波控制方面,引入动态响应与自动释放机制,实现Notch滤波器的自适应调节。实验结果表明,该方法在多种典型啸叫场景下均表现出良好的抑制性能与语音保真度,具有较强的实时性与工程可用性。展开更多
The purpose of this paper is to investigate the solutions of refinement equations of the form ψ（x）∑α∈Z α（α）ψ（Mx-α）,x∈R, where the vector of functions ψ = （ψ1,..., ψr）^T is in （Lp（R^n））^r, 0 〈 ...The purpose of this paper is to investigate the solutions of refinement equations of the form ψ（x）∑α∈Z α（α）ψ（Mx-α）,x∈R, where the vector of functions ψ = （ψ1,..., ψr）^T is in （Lp（R^n））^r, 0 〈 p≤∞, α（α）, α ∈ Z^n, is a finitely supported sequence of r × r matrices called the refinement mask, and M is an s × s integer matrix such that limn→∞M^-n=0, In this article, we characterize the existence of an Lp=solution of the refinement equation for 0〈 p ≤∞, Our characterizations are based on the p-norm joint spectral radius.展开更多
文摘In this paper we will first prove that the nontrivial L p solutions of the vector refinement equation exist if and only if the corresponding subdivision scheme with a suitable initial function converges in L p without assumption of the stability of the solutions. Then we obtain a characterization of the convergence of the subdivision scheme in terms of the mask. This gives a complete answer to the existence of L p solutions of the refinement equation and the convergence of the corresponding subdivision schemes.
文摘啸叫干扰是语音通信系统中普遍存在的问题,常由扬声器与传声器之间的声反馈引发,严重影响语音质量与系统稳定性。针对传统方法在频率漂移、多频啸叫及实时性能方面的局限,提出一种融合多维特征检测与动态Notch滤波控制的啸叫抑制方法。该方法利用均方根(Root Mean Square,RMS)能量趋势、频谱峰值结构、谐波分布及频率稳定性等多特征构建复合检测模型,能够有效区分啸叫、人声与短时冲击信号。在频率定位方面,设计频谱插值细化算法,提高了中心频率估计精度。在滤波控制方面,引入动态响应与自动释放机制,实现Notch滤波器的自适应调节。实验结果表明,该方法在多种典型啸叫场景下均表现出良好的抑制性能与语音保真度,具有较强的实时性与工程可用性。
文摘The purpose of this paper is to investigate the solutions of refinement equations of the form ψ（x）∑α∈Z α（α）ψ（Mx-α）,x∈R, where the vector of functions ψ = （ψ1,..., ψr）^T is in （Lp（R^n））^r, 0 〈 p≤∞, α（α）, α ∈ Z^n, is a finitely supported sequence of r × r matrices called the refinement mask, and M is an s × s integer matrix such that limn→∞M^-n=0, In this article, we characterize the existence of an Lp=solution of the refinement equation for 0〈 p ≤∞, Our characterizations are based on the p-norm joint spectral radius.
