Definitions of d′ and η as Psychophysical Measures

Definitions of d′ and η as Psychophysical Measures
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dâ² 和 η 作为心理物理测量的定义

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发表时间:
1958
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通讯作者:
T. Birdsall
T. Birdsall
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文献类型:
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作者:
W. P. Tanner;T. Birdsall

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由于使用 d' 和 η 的研究基于信号可检测性理论,因此为了定义的目的对该理论进行了足够详细的回顾。效率 η 定义为理想接收器所需能量与研究中接收器所需能量(当两者性能相同时)之比。测量 d' 是理想接收器与所研究的接收器性能相匹配所需的 (2E/N0)12 值,其中 E 是信号能量,N0 是每单位带宽的噪声功率。该测量扩展到包括两个信号的可识别性。每组信号均由欧几里得空间描述,其中距离是差值信号能量 (EΔ)12 的平方根。测量单位是单位带宽噪声功率一半的平方根 (N0/2)12。
Because studies employing d′ and η are based on the theory of signal detectability, the theory is reviewed in sufficient detail for the purposes of definition. The efficiency, η, is defined as the ratio of the energy required by an ideal receiver to the energy required by a receiver under study when the performance of the two is the same. The measure d′ is that value of (2E/N0)12 necessary for the ideal receiver to match the performance of the receiver under study, where E is the energy of the signal, and N0 is the noise power per unit band width. The measure is extended to include the recognizability of two signals. Every set of signals is described by a Euclidean space in which distances are the square roots of the energy of the difference signal, (EΔ)12. The unit of measure is the square root of one‐half of the noise power per unit band width (N0/2)12.