access icon free Cyclic gradient descent optimisation for joint MAP estimation of channel and phase noise in orthogonal frequency division multiplexing

© The Institution of Engineering and Technology
Received 21/06/2017, Accepted 21/03/2018, Revised 12/03/2018, Published 29/03/2018

This study addresses the statistically optimal channel estimation for orthogonal frequency division multiplexing systems in the presence of phase noise (PHN). The maximum a posteriori (MAP) cost function for the joint estimation of channel transfer function (CTF) and PHN is presented, which utilises the prior statistical knowledge of PHN spectral components without the assumption of small PHN. The frequency-domain estimation of unknown frequency selective fading makes the method simpler, compared with the estimation of channel impulse response in time domain. An iterative cyclic gradient descent optimisation algorithm is derived to minimise the cost function over the unknown CTF and PHN. Cramer-Rao lower bound is analysed and compared with the simulation results to illustrate that the proposed joint MAP estimation can achieve near optimum performance.

Inspec keywords: OFDM modulation; minimisation; maximum likelihood estimation; gradient methods; phase noise; frequency estimation; channel estimation

Other keywords: channel transfer function; joint MAP estimation; maximum-a-posteriori cost function; PHN spectral components; phase noise; frequency-domain estimation; unknown frequency selective fading; CTF; Cramer-Rao lower bound; iterative cyclic gradient descent optimisation algorithm; cost function minimisation; optimal channel estimation; orthogonal frequency division multiplexing systems

Subjects: Other topics in statistics; Communication channel equalisation and identification; Interpolation and function approximation (numerical analysis); Optimisation techniques; Modulation and coding methods

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