On the system level prediction of joint time frequency spreading systems with carrier phase noise

Abstract

Abstract---Phase noise is a topic of theoretical and practical interest in electronic circuits. Although progress has been made in the characterization of its description, there are still considerable gaps in its effects especially on multi-carrier spreading systems. In this paper, we investigate the impact of a local oscillator phase noise on the multi-carrier 2 dimensional (2D) spreading systems based on a combination of orthogonal frequency division multiplexing (OFDM) and code division multiple access (CDMA) and known as OFDM-CDMA. The contribution of this paper is multifold. First, we use some properties of random matrix and free probability theory to give a simplified expression of signal to interference and noise ratio (SINR) obtained after equalization and despreading. This expression is independent of the actual value of the spreading codes and depends mainly on the complex amplitudes of estimated channel coefficients. Secondly, we use this expression to derive new weighting functions which are very interesting for the radio frequency (RF) engineers when they design the frequency synthesizer. Therefore, based on these asymptotic results, we adapt a new method to predict the bit error rate (BER) at the output of the channel decoder by using an effective SINR value. We show by simulations the validity of our models and that at a given BER, the required signal to noise ratio (SNR) may easily increase due to the carrier phase noise.Index Terms---Multi-carrier spreading systems, large system analysis, phase noise, SINR, EESM.

Massive MIMO Systems With Non-Ideal Hardware: Energy Efficiency, Estimation, and Capacity Limits

“…Distortion from phase noise (66) using the Taylor approximation e φi,t ≈ 1 + φ i,t because the drifts are small 19 [64], [65]. The first term in (66) is the same as without phase noise, while the second term characterizes the mismatch from the phase drift.…”

Joint Estimation of Channel and Oscillator Phase Noise in MIMO Systems

“…For small values of , (7b) can be tightly approximated as (8) since for practical oscillators the phase noise innovation variances are small [11], [12] and the Taylor series expansion of the term, for small phase innovations and can be approximated by (9) Note that the small angle approximation in (9) has also been used in [7] and [57] for estimating and analyzing the effect of phase noise in SISO systems. Finally, Remark 5 at the end of this subsection compares the derived data-aided CRLB against the posterior CRLB (PCRLB) in [21] for SISO systems and shows that the above approximation is valid even for high phase noise variances, e.g., [11], [12], [19], [27], [29].…”

On models, bounds, and estimation algorithms for time-varying phase noise

“…The slow-varying phase noise assumption and approximation in (32) is used and verified in the literature, e.g., [5], [7], [27]- [29]. The results in Sec.…”