基于广义逆的无谱逆反卷积算法
Deconvolution Algorithm Based on Generalized Inverse
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摘要: 在时域循环卷积运算实现反卷积方法的基础上,基于广义逆的概念提出了一种改进算法,该算法不仅可以有效地避开无谱逆问题,而且运算量增加较少,易于编程实现。Abstract: Deconvolution with frequency-domain division is ill posed when the kernel contains zero(s) in its Fourier spectrum. An improved deconvolution algorithm through time-domain cyclic convolution based on the concept of generalized inverse is proposed to circumvent such difficulty. Its frequency-domain equivalent approach is also introduced. It is easy to be implemented by programming and its computation complexity is just proportional to the fast Fourier transform (FFT).