Green D M, Weber D L, Duncan J E
J Acoust Soc Am. 1977 Oct;62(4):948-54. doi: 10.1121/1.381588.
We examine the predictions of a new theorem relating signal identification (specifying a signal as a particular member of a set of potential signals) to signal detection (discriminating the presence of a signal). The theorem, derived in the context of signal-detection theory, requires that the signals be equally detectable and orthogonal. Our sinusoidal signals are partially masked by noise and their intensities adjusted to produce equal-signal detectability; we do not examine this assumption of the theorem. The theorem generally provides a reasonably accurate description of recognition performance for two-signal and four-signal conditions and is equally accurate for both the Yes-No and category-rating procedures. In a preliminary investigation of the orthogonality assumption, we varied the frequency separation between two signals. When the frequency separation between two signals is small (20 Hz near 1 kHz), the theorem fails to provide a good description of performance.
我们研究了一个新定理的预测,该定理将信号识别(将信号指定为一组潜在信号中的特定成员)与信号检测(辨别信号的存在)联系起来。该定理是在信号检测理论的背景下推导出来的,要求信号具有同等可检测性且相互正交。我们的正弦信号部分被噪声掩盖,并且调整了它们的强度以产生相等的信号可检测性;我们没有检验该定理的这一假设。该定理通常为双信号和四信号条件下的识别性能提供了相当准确的描述,并且对于是-否程序和类别评级程序同样准确。在对正交性假设的初步研究中,我们改变了两个信号之间的频率间隔。当两个信号之间的频率间隔较小时(在1千赫兹附近为20赫兹),该定理无法很好地描述性能。