Extension Principles play a significant role in the construction of MRA based wavelet frames and have attracted much attention for their potential applications in various scientific fields. A novel and simple procedur...Extension Principles play a significant role in the construction of MRA based wavelet frames and have attracted much attention for their potential applications in various scientific fields. A novel and simple procedure for the construction of tight wavelet frames generated by the Walsh polynomials using Extension Principles was recently considered by Shah in [Tight wavelet frames generated by the Walsh poly- nomials, Int. J. Wavelets, Multiresolut. Inf. Process., 11（6） （2013）, 1350042]. In this paper, we establish a complete characterization of tight wavelet frames generated by the Walsh polynomials in terms of the polyphase matrices formed by the polyphase components of the Walsh polynomials.展开更多
In this paper, We deal with the solution of the state equation of a system by the Walsh function, that is, we shall find the solution of a matrix differential equation by the Walsh function, and introduce a solution o...In this paper, We deal with the solution of the state equation of a system by the Walsh function, that is, we shall find the solution of a matrix differential equation by the Walsh function, and introduce a solution of the higher-order matrix differential equation. First, after a certain transform, we turn the higher- order matrix differential equation into a state equation. Then we find the solution of the state equation by the Walsh function. Finally after a certain transform, we obtain a solution of the higher-order matrix differential equation.展开更多
In a modern electrical driver, rotor field oriented control an appropriate transient response. In this method, the space （RFOC） method has been used to achieve a good performance and vector of the rotor flux comes h...In a modern electrical driver, rotor field oriented control an appropriate transient response. In this method, the space （RFOC） method has been used to achieve a good performance and vector of the rotor flux comes handy by the rotor resistance value. The rotor resistance is one of the important parameters which varies according to motor speed and room temperature alteration. In this paper, a new on-line estimation method is utilized to obtain the rotor resistance by using Walsh functions domain. The Walsh functions are one of the most applicable functions in piecewise constant basis functions （PCBF） to solve dynamic equations. On the other hand, an integral operational matrix is used to simplify the process and speed of the computation algorithm. The simulations results show that the proposed method is capable of solving the dynamic equations in an electrical machine on a time interval which robustly estimates the rotor resistance in contrast with injection noises.展开更多
针对现有编码调制的典型多输入-多输出天波超视距雷达(MIMO-OTHR)波形实际上不严格正交,仅仅依靠降低波形间互相关性来提高波形准正交性能的情况,提出一种改进的基于Walsh矩阵的慢时间随机相位编码(Slow Time Random Phase-Coded,STRPC...针对现有编码调制的典型多输入-多输出天波超视距雷达(MIMO-OTHR)波形实际上不严格正交,仅仅依靠降低波形间互相关性来提高波形准正交性能的情况,提出一种改进的基于Walsh矩阵的慢时间随机相位编码(Slow Time Random Phase-Coded,STRPC)波形,以提高编码波形的正交性能,进而提高雷达系统的目标检测能力;同时,为解决Walsh矩阵编码的STRPC波形自相关性能不够好的问题,采用MIMO-OTHR失配滤波方法,以一定的失配滤波损失,进一步改善脉压主副瓣比.理论分析与仿真结果验证了Walsh矩阵编码对改善STRPC波形正交性的有效性.展开更多
文摘Extension Principles play a significant role in the construction of MRA based wavelet frames and have attracted much attention for their potential applications in various scientific fields. A novel and simple procedure for the construction of tight wavelet frames generated by the Walsh polynomials using Extension Principles was recently considered by Shah in [Tight wavelet frames generated by the Walsh poly- nomials, Int. J. Wavelets, Multiresolut. Inf. Process., 11（6） （2013）, 1350042]. In this paper, we establish a complete characterization of tight wavelet frames generated by the Walsh polynomials in terms of the polyphase matrices formed by the polyphase components of the Walsh polynomials.
文摘In this paper, We deal with the solution of the state equation of a system by the Walsh function, that is, we shall find the solution of a matrix differential equation by the Walsh function, and introduce a solution of the higher-order matrix differential equation. First, after a certain transform, we turn the higher- order matrix differential equation into a state equation. Then we find the solution of the state equation by the Walsh function. Finally after a certain transform, we obtain a solution of the higher-order matrix differential equation.
文摘In a modern electrical driver, rotor field oriented control an appropriate transient response. In this method, the space （RFOC） method has been used to achieve a good performance and vector of the rotor flux comes handy by the rotor resistance value. The rotor resistance is one of the important parameters which varies according to motor speed and room temperature alteration. In this paper, a new on-line estimation method is utilized to obtain the rotor resistance by using Walsh functions domain. The Walsh functions are one of the most applicable functions in piecewise constant basis functions （PCBF） to solve dynamic equations. On the other hand, an integral operational matrix is used to simplify the process and speed of the computation algorithm. The simulations results show that the proposed method is capable of solving the dynamic equations in an electrical machine on a time interval which robustly estimates the rotor resistance in contrast with injection noises.
文摘针对现有编码调制的典型多输入-多输出天波超视距雷达(MIMO-OTHR)波形实际上不严格正交,仅仅依靠降低波形间互相关性来提高波形准正交性能的情况,提出一种改进的基于Walsh矩阵的慢时间随机相位编码(Slow Time Random Phase-Coded,STRPC)波形,以提高编码波形的正交性能,进而提高雷达系统的目标检测能力;同时,为解决Walsh矩阵编码的STRPC波形自相关性能不够好的问题,采用MIMO-OTHR失配滤波方法,以一定的失配滤波损失,进一步改善脉压主副瓣比.理论分析与仿真结果验证了Walsh矩阵编码对改善STRPC波形正交性的有效性.
