The second chapter introduces the theory of multi - sample rate system including integer times decimate and interpose , multi - phase expression and identical transform of network structure . the third chapter introduces the concept and principle of filter banks 第二章介绍了多抽样率系统的基本理论其中包括整数倍抽取和整数倍内插及多抽样率系统中的多相表示。
This thesis concentrates on the analysis of sampling rate changing ( decimation and interpolation ) ; the discussion of basic multirate signal processing theory ; the implementation of high efficient algorithm , which provides the bases for other algorithm development in this thesis 本文从频域的角度深入分析了抽样率变换的规律，并进一步研究了多抽样率系统的高效实现方案和基本理论，为其它算法的研究提供了必要的基础。
Integrating multirate signal processing theory and classical spectrum estimation theory , a brand new multiresolution spectrum theory is provided and a special algorithm is discussed in great detail . the polyphase decomposition theory is also applied to optimize the algorithm and improve the computing efficiency 本文结合多抽样率信号处理理论和传统谱估计理论，提出了崭新的多分辨谱估计理论，并给出了具体的实现算法，解决了谱估计中如何达到频率分辨率和时间分辨率的最佳组合的问题。
The multiresolution method is extended and applied to random vibration control system , thus a multiresolution random vibration control algorithm is created , which provides a satisfied solution to the poor control precision problem at low frequency that was pointed out and remained unsettled for many years . the control algorithm has been successfully implemented on dactron ' s shaker control system , showing great improvement in low frequency control precision , with a little more computation resource consumed . high resolution octave analysis is another successful application of multiresolution spectrum estimation theory 在多抽样率信号处理理论和多分辨谱估计理论的基础上，本文进而将多分辨率思想推广到随机振动控制理论中，提出了多分辨随机振动控制算法，解决了振动控制界多年来悬而未决的低频控制精度问题，并在dactron公司laser ~ ( tm )和comet ~ ( tm )等多种振动控制产品中得到了成功的应用，在计算量增加不大的前提下取得了令人满意的控制效果。
To utilize the advantages of dsp chips , the system should be computing sources economical . according to digital signal processing theory , the poly - phase fir can help reduce the workloads of the ddc / duc . therefore , adding the complex carrier mixers , the channelization system ( a method of using a single wideband facility to transmit many relatively narrow - bandwidth signals . by subdividing the frequency spectrum used in the wideband channel ) can be formed utilizing the characters of fft 为了使开发出的软件可以适用于高速dsp器件开发，节省系统资源，课题首先从数字信号处理的理论进行分析，得出可以利用抽样率转换的数字滤波器的特点，即多相滤波实现数字上下变频计算负担的减小，之后进一步将多相滤波器与频谱搬移部分结合，通过公式的推导，得出可利用快速傅立叶变换的特点实现多路信号的信道化发射和接收的处理模型。
Fpga and dvb standard are introduced firstly , dvb - c standard and composition of its system are analyzed completely , development of modulator structure and dvb - c digital modulator composition are presented , more over , analysis of respective modular are given . then , principle of dvb - c digital modulator system are presented , they are error control technique 、 mqam 、 nyquist rule and root raised cosine filter 、 window design method for fir filter 、 multi - rate signal processing ( integer interpolating , conversion of fractional sampling , equal conversion of net structure , polyphase structure for filter , poly - phase structure for interpolator , multi - stage implementation of samplying conversion ) 、 distrubited algorithm 、 cic filter 、 dds 、 cordic algorithm 接着,专门利用一个章节阐述了dvb - c前端调制系统原理,他们了差错控制技术、多进制调制( mqam ) 、 nyquist准则与平方根升余弦滤波器、有限冲击响应滤波器的窗函数设计法、多抽样率信号处理包括(整数倍内插原理、分数倍抽样率转换、网络结构的等效结构、滤波器的多相表示、内插器的多相表示、抽样率转换的多级实现) 、分布式算法、 cic滤波器、直接数字频率合成( dds ) 、 cordic算法。
At first , the concept of perfect reconstrution of input signal from the view of filter banks and wavelet transform are introduced , . and then the analysis / synthesis system is analyzed in time domain , third , the kalman filter is explained , finally , a multirate kalman synthesis filter and multirate kalman filterirng algorithm are intruduced to achieve optimal reconstruction of the input signal with the consideraion of the subband noises . simulation results show that the performance improvement of signal reconstruction in noisy filter bank system is remarkble 本文从滤波器组和子波变换两个方面阐述了分析/综合系统及其对输入信号完全重构的概念；研究了考虑子带噪声条件下，基于滤波器组的多抽样率分析/综合成系统对输入信号的最佳重构问题。实现了用多抽样率卡尔曼综合滤波器取代常规的综合滤波器达到对输入信号的最佳重构。
Mulirate analysis / synthesis system based on filter banks are widely used for time - frequency decomposition ( analysis ) and reconstruction ( synthesis ) in many applications areas . in this paper , a multirate kalman sysnthesis filter is introduced to replace the ocnventional synthesis filter to achieve optimal reconstruction of the input signal with the consideration of subband noises 用来实现信号的时-频分解（分析）和重构（综合）的基于滤波器组的多抽样率分析/综合系统（ multirateanalysis / synthesisbasedonfilterbanksystem ） （以下简称分析/综合系统analysis / synthesissystem ）广泛地被用在许多应用领域。
