Title :
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
fDate :
7/1/1989 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
