Vector parameter estimation over flat Rayleigh fading channel: Cramer-Rao lower bound generalized expressions

In this paper, the authors address the problem of true Cramer-Rao lower bound (CRLB) derivation for a non-data-aided (NDA) vector parameter estimation over non-constant gain flat Rayleigh fading channel (FRFC). General CRLB expressions for carrier frequency offset, carrier phase, symbol timing and signal to noise ratio (SNR) estimation are analytically developed going through the computation of the Fisher information matrix (FIM) entries. We consider both uncoded and coded transmissions spoiled by complex additive white Gaussian noise (CAWGN). Assessment of the derived bounds is obtained for M-PSK linearly modulated and convolutionally encoded signals using Monte Carlo (MC) integration technique.