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LDPC码既低密度奇偶校验码（Low Density Parity Check Code，LDPC），它由Robert G.Gallager博士于1963年提出的一类具有稀疏校验矩阵的线性分组码，不仅有逼近Shannon限的良好性能，而且译码复杂度较低, 结构灵活，是近年信道编码领域的研究热点，目前已广泛应用于深空通信、光纤通信、卫星数字视频和音频广播等领域。LDPC码已成为第四代通信系统(4G) (LDPC codes BER simulation under AWGN channel. MacKay-Neal based LDPC matrix. Message encoding uses sparse LU decomposition. There are 4 choices of decoder: hard-decision/bit-flip decoder, probability-domain SPA decoder, log-domain SPA decoder, and simplified log-domain SPA decoder.)

OFDM DATA GENERATION

已调试好的小波去噪小波包去噪MATLAB程序(wavelet or wavelet package analysis MATLAB)

说明：  Nakagami-m分布能用来对比瑞利分布条件更苛刻的衰落信道进行建模，最适合于郊区无线多径信道上接受的数据信号，瑞利分布是它 时的特例。(Nakagami-m distribution can be used to model fading channels with more stringent Rayleigh distribution conditions. It is most suitable for data signals received on suburban wireless multipath channels. Rayleigh distribution is its special case.)

synchronisation in OFDM systems

Rayleigh fading channel

二次采样以确定像素间的相关性，然后对两个采样结果同时嵌入水印，利用的是倒谱变换(second sampling to determine the correlation between pixels, then the two sampling results also embedded watermark, make use of Cepstrum)

说明：  matlab数学建模 （李昕）清华大学出版社 全书附带源码(The Chinese book of "Matlab Mathematics Modelling" from Tsinghua University Press original code.)

The commands to control window movement are typically communicated over a controller area network (CAN). In this model, the switches that may be located in the center console of the vehicle and that produce the commands are included

提取财务数据并计算经波动调整的衍生指标，同时生成指标序列矩阵(Extract Financial data and calculate the volatility-adjusted derivatives, and generate the time series matrix)