Title :
Cramer-Rao bounds of SNR estimates for BPSK and QPSK modulated signals
Author :
Alagha, Nader Sheikholeslami
Author_Institution :
EMS Technol. Canada, STe-Anee-de-Bellevue, Que., Canada
Abstract :
We derive Cramer-Rao lower bounds (CRLBs) for the estimation of signal-to-noise ratio (SNR) of binary phase-shift keying (BPSK) and quaternary phase-shift keying (QPSK) modulated signals. The received signal is corrupted by additive white Gaussian noise (AWGN). The lower bounds are derived for non-data-aided estimation where the transmitted symbols are unknown at the receiver. The bounds are compared to those for data-aided estimations (known symbols at the receiver). It is shown that at low SNR there is a significant difference between the bounds for non-data-aided and data-aided estimations.
Keywords :
AWGN; parameter estimation; quadrature phase shift keying; AWGN; BPSK; Cramer-Rao bounds; QPSK; SNR estimates; SNR estimation; additive white Gaussian noise; binary phase-shift keying; data-aided estimation; low SNR; lower bounds; modulated signals; nondata-aided estimation; quaternary phase-shift keying; received signal; receiver; signal-to-noise ratio; transmitted symbols; AWGN; Additive white noise; Binary phase shift keying; Cramer-Rao bounds; Equations; Phase estimation; Phase modulation; Phase shift keying; Quadrature phase shift keying; Signal to noise ratio;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/4234.901810