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

Author

Sadr, Ramin ; Shahshahani, M. Ehrdad ; Hurd, William J.

Author_Institution

Jet Propulsion Lab., Pasadena, CA, USA

Volume

35

Issue

4

fYear

1989

fDate

7/1/1989 12:00:00 AM

Firstpage

874

Lastpage

878

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 L₂. 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 2δ (peak-to-peak), the SNR is degraded by at most (1-δ²), 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

Keywords

filtering and prediction theory; signal processing; Hilbert space; SNR; amplitude distortion; coherently demodulated band-limited signal; degradation; filtering effect; maximum passband amplitude ripple; optimization; signal-to-noise ratio; worst-case amplitude ripple; Band pass filters; Degradation; Delay; Distortion; Filtering; Frequency; Passband; Phase shift keying; Signal processing; Signal to noise ratio;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.32164

Filename

32164