基于矩形卷积窗的声频测量系统谐波分析方法

Audio Measurement System Harmonic Analysis Based on Retangular Convolution Window

研究卷积窗在声频测量系统高精度谐波分析中的应用,并将卷积窗与多种常用的经典窗函数进行比较。结果表明:与具有相同宽度的其他窗函数相比,当采样同步误差较小时,卷积窗的主瓣最窄,旁瓣衰减速率最大,具有更小的频谱泄漏效应,因此更适于声频测量系统的高精度谐波分析。通常声频测量系统的测量频率已知,通过选择合适的窗长,可以保证采样同步误差较小。该加窗算法的特点是:测量频率在较大范围内变化时,测量精度高,算法简单。

Convolution window of accuracy in the audio measurement system harmonic analysis is analyzed compared with convolution window and a variety of classical window function. The resuhs show that compared with other window functions of same width, when the sampling synchronization error is small, the convolution window owns narrowest main lobe, side lobe decay rate is highest, and it has a smaller spectral leakage effects. It is more suitable for audio measurements high-precision harmonic analysis. Typically, the audio frequency measuring system is known, the sampling synchronization error is guaranteed smaller by selecting the appropriate window length. The characteristic of windowing algorithm is high precision and simple algorithm while measuring the frequency changes in a large range.