Considerarion of practical algorithms for digital signal processing based on varlable rate sampling

我们结合2000-2001年科研资助项目，研究了基于变速率采样的新型数字信号处理算法。在2002-2003年的研究项目中，我们重新考虑了这些算法的实际应用。我们可以主要通过加法和减法来处理这些算法，因此我们可以通过简单的电路来实现这些算法。本文给出了本研究的一些结果。1.不同采样率滤波器之间的连接方法我们将滤波器之间的连接方法从过采样方法改进为一阶插值方法。2.基于同步加减处理的频率估计加速方法提出了一种并行同步加减处理方法，并对该方法进行了改进，提高了频率估计的速度。3.改进了多采样点DFT（MR-DFT）算法，提高了算法的跟踪性能。利用两个不同相位的MR DFT的均值运算，提高了MR DFT对噪声的处理能力。对于使用陷波型梳状滤波器的梳状傅里叶变换，我们提出了另一种新的傅里叶变换（谐振器傅里叶变换）使用谐振器型梳状滤波器，我们将谐振器傅里叶变换应用到信号接收器中（Doppler接收器）4.用于真实的乐器声音和歌唱声音的转录系统，对于具有频率变化的真实的音乐声音，噪声，我们开发了两个转录系统注意到最小或最大输出的并联陷波或谐振器型梳状滤波器分别。我们还提出了一个转录系统，使用自适应梳状滤波器。这些转录系统可以具有良好的基音估计能力。

We developed some algorithms for new digital signal processing based on variable-rate sampling by the research project, grant-in-aid for scientific research of 2000-2001. In the research project of 2002-2003, we reconsidered these algoritluns for the practical use. We can treat these algorithms by mainly additions and subtractions and so we can implement these algorithms by simple circuits. We present some results obtained in this research.1.connection method between filters having different sampling rates.We improved the connection method between filters from the oversampling method to the method using the first-order interpolation. As a result, we could reduce the amount of operations to one tenth for the frequency estimation processing.2.speed-up of frequency estimation based on synchronous addition and subtraction processing.We proposed a parallel synchronous addition and subtraction processing, and we could reduce the estimation time to about one third and improve the tracking characteristic.3.improvement of multi ate DFT(MR-DFT) and comb Fourier transform for noises.We improved the ability of the MR DFT for noises using mean operation of two MR DFT having different phases. For the comb Fourier transform using notch-type comb filters, we proposed other new Fourier transform (resonator Fourier transform) using resonator-type comb filters, and we applied the resonator Fourier transform into a signal receiver (DTMF receiver) and a transcription system for musical sounds including a percussion sound.4.transcription systems for real musical instrument sounds and sung sounds.For real musical sounds having frequency changes and noises, we developed two transcription systems noticing minimum or maximum outputs in the parallel connected notch or resonator type comb filters, respectively. We also proposed a transcription system using adaptive comb filters. These transcription systems can have good ability of the pitch estimation.