An analysis of the detection of repeated signals in noise by binary integration
- 1 March 1955
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 1 (1) , 1-9
- https://doi.org/10.1109/tit.1955.1055127
Abstract
An analysis of the detection of repetitive signals in noise by binary integration techniques is made. An expression for the effective signal-to-noise ratio of the quantized video is obtained and is shown to apply to any half-wave second detector. A comparison of analog and digital integration is made, and it is further shown that digital integration is, at most, 1.9 db poorer due to the quantization loss. However, the loss due to nonideal analog integration can make the two types equivalent. The optimum settings for quantizer and counter thresholds are derived, and expressions for the final-detection and false-alarm probabilities are determined. Lastly, the results are modified to include the effect of nonuniform amplitudes in the set of signals being quantized and integrated.Keywords
This publication has 4 references indexed in Scilit:
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- Signal-to-Noise Improvement through Integration in a Storage TubeProceedings of the IRE, 1950
- Some general results in the theory of noise through non-linear devicesQuarterly of Applied Mathematics, 1948
- Mathematical Analysis of Random NoiseBell System Technical Journal, 1944