Tai M H, Harwit M, Sloane N J
Appl Opt. 1975 Nov 1;14(11):2678-84. doi: 10.1364/AO.14.002678.
An analysis is given of the errors in Hadamard spectroscopy that are caused by transparent slits in the mask being systematically wider or narrower than they should be. It is shown that if the input spectrum consists of a single line, the distorted spectrum that is actually calculated consists of this line, plus four small blips. When the transparent slits are too wide, these blips are of equal height and the same sign, one pair surrounding the line, and another pair displaced a certain distance from it. When the slits are too narrow, the displaced blips have the same amplitude, but are negative. The response to an arbitrary input spectrum is then determined from this. The same method of analysis may also be used to handle other types of errors.
分析了哈达玛光谱法中由掩模上的透明狭缝系统地比其应有的宽度更宽或更窄所导致的误差。结果表明，如果输入光谱由一条线组成，实际计算出的失真光谱由这条线加上四个小尖峰组成。当透明狭缝太宽时，这些尖峰高度相等且符号相同，一对围绕着这条线，另一对与它有一定距离的位移。当狭缝太窄时，位移的尖峰具有相同的幅度，但为负。然后据此确定对任意输入光谱的响应。同样的分析方法也可用于处理其他类型的误差。
