Degradation of signal-to-noise ratio due to amplitude distortion

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1989Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Information Theory, volume 35, pages 874-878 (issn: 0018-9448,

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Authors: Ramin Sadr; Mehrdad Shahshahani; William J. Hurd;

doi: 10.1109/18.32164

Degradation of signal-to-noise ratio due to amplitude distortion

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Abstract

The effect of filtering on the signal-to-noise ratio (SNR) of a coherently demodulated band-limited signal is determined in the presence of worst-case amplitude ripple. The problem is formulated as an optimization in the Hilbert space L/sub 2/. The form of the worst-case amplitude ripple is specified, and the degradation in the SNR is derived in closed form. It is shown that, when the maximum passband amplitude ripple is 2 delta (peak-to-peak), the SNR is degraded by at most (1- delta /sup 2/), even when the ripple is unknown or uncompensated. For example, an SNR loss of less than 0.01 dB due to amplitude ripple can be assured by keeping the amplitude ripple under 0.42 dB. >

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