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复调制带通滤波器具有负频率为零、冲击响应函数实部和虚部有 90°相移的特点 ,能将带通滤波和希尔伯特变换合为一体 ,只要选择合适的滤波参数 ,在解调分析中将不包括故障信息的时域相加信号滤掉 ,且能避免广义检波滤波解调分析中的混频效应。利用此原理 ,并将最大细化倍数与带通滤波器的宽度之间建立了严格的数学关系 ,以避免为了大幅度提高运算速度而只对选抽点进行变换可能产生的频混现象 ,优化了现代设备故障诊断广泛应用的窄带希尔伯特变换解调分析的算法
The complex modulation band-pass filter has the characteristic that the negative frequency is zero and the real part and the imaginary part of the impulse response function have a phase shift of 90 °, which can combine the band-pass filter and the Hilbert transform, so long as the suitable filtering parameter is selected, In the demodulation analysis, the time-domain summation signal not including the fault information is filtered out, and the mixing effect in the demodulation of the generalized detection filter can be avoided. Using this principle, a strict mathematical relationship is established between the maximum refinement factor and the width of the band-pass filter so as to avoid the frequency-mixing phenomenon that may be generated by selecting only the pumping points in order to greatly improve the operation speed and to optimize Narrowband Hilbert transform demodulation analysis algorithm widely used in modern equipment fault diagnosis