Optimization of Signal-to-Noise Ratio in Linear Systems


Useful, deterministic signals passing through various transmission devices often acquire extraneous random components due to, say, thermal noise in conducting materials, radio clutter or aurora borealis magnetic field fluctuations in the atmosphere, or deliberate jamming in warfare. If there exists some prior information about the nature of the original useful signal and the contaminating random noise it is possible to devise algorithms to improve the relative power of the useful compenent of the signal or, in other words, to increase the signal-to-noise ratio of the signal, by passing it through a filter designed for the purpose. In this short chapter, we give a few examples of such designs just to show how the previously introduced techniques of analysis of random signals can be applied in this context.


White Noise Detection Time Impulse Response Function Output Noise Filter Structure 
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  1. 32.
    N. Wiener’s original Extrapolation, Interpolation, and Smoothing of Stationary Time Series, MIT Press and Wiley, New York, 1950, is still very readable, but also see Chapter 10 of A. Papoulis, Signal Analysis, McGraw-Hill, New York, 1977.Google Scholar

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© Birkhäuser Boston 2006

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