nlayer

用于计算一个实数或复数序列的离散傅里叶变换和一个复数序列的逆离散傅里叶变换(fast fourier transform subroutine for real valued series)

线性调频（LFM）脉冲压缩雷达仿真,脉冲压缩雷达能同时提高雷达的作用距离和距离分辨率。这种体制采用宽脉冲发射以提高发射的平均功率，保证足够大的作用距离；而接受时采用相应的脉冲压缩算法获得窄脉冲，以提高距离分辨率，较好的解决雷达作用距离与距离分辨率之间的矛盾。(Linear frequency modulation (LFM) pulse compression radar simulation, pulse compression radar while increasing the role of the radar range and range resolution. This system uses the width pulse emission in order to improve the average power emitted, to ensure a sufficiently large effective distance accepted when the corresponding pulse compression algorithm to obtain a narrower pulse, in order to improve the distance resolution, the better solution of the radar range and range resolution the contradiction between the rate.)

关于小波变换的降噪处理，包括强制降噪，给定阈值降噪，默认阈值降噪等，并给出了对比图(Noise reduction processing on the wavelet transform, including mandatory noise reduction, noise reduction given threshold, default threshold noise reduction, and gives comparison chart)

基于高阶累积量的MUSIC算法仿真，有直观结果可供参考(MUSIC algorithm simulation based on higher order cumulants, intuitive results available)

说明：  紧支撑小波基的构造。 以Daubechies小波滤波器系数为例，推导出小波函数及尺度函数，并画出其图像. void Convolution(double* pShortData, int nShort, double* pLongData, int nLong) int CalcScaleFunction(double* pOutData) int CalcWaveletFunction(double* pOutData) Convolution()不是通用的离散卷积代码，而是简单地实现了后面两个函数需要的离散卷积，它要求输入的前一个数组长度小于后一数组长度，而且卷积结果就直接覆盖存储在后一数组中。CalcScaleFunction()计算尺度函数，CalcWaveletFunction()计算小波函数。 (Compactly supported wavelet bases constructed. To Daubechies wavelet filter coefficients as an example, the derived wavelet function and scaling function, and draw their images. Void Convolution (double* pShortData, int nShort, double* pLongData, int nLong) int CalcScaleFunction (double* pOutData) int CalcWaveletFunction ( double* pOutData) Convolution () instead of generic discrete convolution code, but simply the realization of a function behind the need for two discrete convolution, which requires input before an array length is less than the array length of the latter, but the result of convolution directly covered by the latter is stored in the array. CalcScaleFunction () calculated scaling function, CalcWaveletFunction () calculation of wavelet function.)

图像小波变换，可以求图像小波分解系数图，阶数可以自己设定(tuxiangxiaobobianhuan)

基于四阶累积量的矩阵方程法子波估计,对研究子波的有一定的帮助(based on the forth cumulantion seismic wavelet estimation)

关于最小二乘法的相位解包裹,对于学些图像处理的同学还是很有用的哦~(It s about the least squares method of phase unwrapping )

说明：  使用小波变换和神经网络的混合图像压缩，希望对大家有所帮助(Using wavelet transform and neural network hybrid image compression, I hope all of you to help)

小波变换(wavelet transform，WT)是一种新的变换分析方法，它继承和发展了短时傅立叶变换局部化的思想，同时又克服了窗口大小不随频率变化等缺点，能够提供一个随频率改变的"时间-频率"窗口，是进行信号时频分析和处理的理想工具。它的主要特点是通过变换能够充分突出问题某些方面的特征，能对时间(空间)频率的局部化分析，通过伸缩平移运算对信号(函数)逐步进行多尺度细化，最终达到高频处时间细分，低频处频率细分，能自动适应时频信号分析的要求，从而可聚焦到信号的任意细节，解决了Fourier变换的困难问题，成为继Fourier变换以来在科学方法上的重大突破。(Wavelet transform (WT) is a new transform analysis method. It inherits and develops the idea of localization of short-time Fourier transform and overcomes the shortcomings that window size does not vary with frequency. It can provide a frequency-dependent The Time-Frequency window is ideal for time-frequency analysis and processing of signals. Its main feature is that by transforming some features that can fully highlight some aspects of the problem, the localization of the time (space) frequency can be analyzed, and the signal (function) can be gradually and multi-scale refined by the scaling operation, finally reaching the high frequency Time subdivision, frequency subdivision at low frequencies, can automatically adapt to the requirements of time-frequency signal analysis, which can focus on any details of the signal to solve the difficulties of Fourier transform has become a major breakthrough in the scientific method since Fourier transform.)