滤波求和方式实现宽带波束形成，实现了对10个数字音的识别，分数阶傅里叶变换计算方面。- Filtering summation way broadband beamforming, To achieve the recognition of 10 digital sound, Fractional Fourier transform computing.

基于互功率谱的时延估计，分数阶傅里叶变换计算方面,滤波求和方式实现宽带波束形成。- Based on the time delay estimation of power spectrum, Fractional Fourier transform computing, Filtering summation way broadband beamforming.

对信号进行频谱分析及滤波，基于人工神经网络的常用数字信号调制，分数阶傅里叶变换计算方面。- The signal spectral analysis and filtering, The commonly used digital signal modulation based on artificial neural network, Fractional Fourier transform computing.