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On the Optimum Detection of Digital Signals in the Presence of White Gaussian Noise-A Geometric Interpretation and a Study of Three Basic Data Transmission Systems

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2 Author(s)
Arthurs, E. ; Bell Cummun. Res., Morristown, NJ, USA ; Dym, H.

This paper considers the problem of optimally detecting digital waveforms in the presence of additive white Gaussian noise. A technique for representing the transmitted signals and the additive noise which leads to a geometric interpretation of the detection problem is presented on a tutorial level. Subsequently, this technique is used to derive the optimum detector for each of three basic data transmission systems: m-level Phase Shift Keyed, m-level Amplitude Shift Keyed and m-level Frequency Shift Keyed. Corresponding probability of error curves are derived, compared and discussed with reasonable detail.

Published in:
Communications Systems, IRE Transactions on  (Volume:10 ,  Issue: 4 )

Date of Publication: December 1962

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