“…The inverse Fourier transform of A(v) is N Y(x) = 0.25 7| ,•0 exp(-2irjVi°x) ß (-, ) -0 for |x| < R~l (2) where ; = V(-l), R is the nominal resolution, and x is the spatial frequency. In FSD, Y(x) is multiplied by ß ( ' ), where y' < y, to yield Y'(x): Y'(x) = 0.25 7 A,•0 exp(-2iri/i'i°x) exp[-ir(7¡ -y')x] i=0 for |x| < fi'1 (3) When the forward Fourier transform of Y'(x) is calculated, we obtain A'(V) = £ A hi__(7¿ -7')2 £ (7;-7') (7;-7')2 + 4( -/>)2 (4) 0003-2700/91/0363-2557602.50/0 © 1991 American Chemical Society (This equation has not been simplified, to permit comparison with eq 1.) This "deconvolved" spectrum still has Lorentzian bands in the same positions, but the width of each band has been decreased by an amount y' and the peak absorbance has been increased by the factor y¡/(y¡ -y').…”