Patent ID: 7113666

Claim:
A method for filter spectrum deconvolution and reshaping, comprising: providing a Fabry-Perot filter output of an input spectrum signal; determining the intensity and wavelength of the spectrum signal at each spectrum peak; characterizing the Fabry-Perot filter output as an integral of convolution of an input spectrum signal function and a Lorentzian filter function; composing a predetermined optimal bandwidth Lorentzian signal and doing a fast Fourier transformation on the Lorentzian function; composing a predetermined optimal bandwidth Gaussian signal and doing a fast Fourier transformation on the Gaussian function; performing fast Fourier transformations on the Fabry-Perot filter output; dividing the results of: performing fast Fourier transformations on the Fabry-Perot filter output by composing a predetermined optimal bandwidth Lorentzian signal and doing a fast Fourier transformation on the Lorentzian function; to deconvolve and remove the Lorentzian filter function from the Fabry-Perot filter output; and multiplying the results of: dividing the results by composing a predetermined optimal bandwidth Gaussian signal and doing a fast Fourier transformation on the Gaussian function; to add a Gaussian filter function component into the Fabry-Perot filter output; and then doing an inverse fast Fourier transformation on the result of the dividing and the multiplying to finish deconvolving and reshaping the output spectrum signal function.