An Extended Kalman Filter Framework for Joint Phase Noise, CFO and Sampling Time Error Estimation

Hajiabdolrahim, Nima; Aghdam, Sina Rezaei; Eriksson, Thomas

doi:10.1109/pimrc48278.2020.9217229

Cited by 8 publications

(8 citation statements)

References 5 publications

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“…5. For this reason more than the most likely starting point must be considered in the second loop (lines [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] where the EM is carried out. # Select best λ for every τ of TO grid 5: for all λ i ∈ I reduced do 6:…”

Section: Implementation Aspects a Algorithmic Synchronization Descrip...mentioning

confidence: 99%

“…Instead initial estimates are improved by taking decision about data symbols into account. Though typical phase locked loop (PLL) methods [13] or Kalman filter approaches [14] use pilots to obtain their initial estimates before tracking the errors over the course of a larger frame. For that reason they are not applicable in burst type transmission due to their acquisition constraints.…”

Section: Introductionmentioning

confidence: 99%

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Blind Vector Parameter Estimation for Burst Type CPM Transmissions

Lang

Lankl

2023

IEEE Open J. Veh. Technol.

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Short burst continuous phase modulation transmission is of practical relevance in e.g. frequency hopping systems applied in sensor or tactical networks. The channel conditions can be seen as mutually uncorrelated for each burst due to spectral and or temporal separation of those. Because of this time variant nature, a recurring acquisition of the impairment parameters is required for each burst. In this work, a blind joint estimation of several parameters in a flat fading environment for continuous phase modulation bursts is realized by the expectation maximization algorithm. The main contributions are first the formulation of the expectation and maximization steps to enable the joint computation of the maximum likelihood parameter estimates and second the analysis of the likelihood functions to obtain an optimized initialization for the algorithm. It is shown, that the joint estimator produces unbiased estimates and its performance in terms of the mean squared estimation error achieves the theoretical limits, i.e. the modified Cramér-Rao-Vector-Bound and slightly outperforms a state of the art pilot based estimator. Furthermore, the effective throughput is discussed and bit and frame error rates are compared to each other and to the perfectly synchronized estimator. Its computational complexity is analyzed and efficient computation steps and further approaches are outlined to decrease it.

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Section: Implementation Aspects a Algorithmic Synchronization Descrip...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Blind Vector Parameter Estimation for Burst Type CPM Transmissions

Lang

Lankl

2023

IEEE Open J. Veh. Technol.

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“…In addition, when the down-converting LO in the receiver does not perfectly synchronize with the received signal's carrier [37], CFO occurs. In general, both PN and CFO are estimated and compensated by the receiver [38], so we only consider the residual PN and residual CFO at the receiver. With PN and CFO, the observation, y g,k , is modified as in [39]…”

Section: Hardware Impairmentsmentioning

confidence: 99%

MCRB-based Performance Analysis of 6G Localization under Hardware Impairments

Chen

Aghdam

Keskin

et al. 2022

2022 IEEE International Conference on Communications Workshops (ICC Workshops)

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Localization (position and orientation estimation) is envisioned as a key enabler to satisfy the requirements of communication and context-aware services in the sixth generation (6G) communication systems. User localization can be achieved based on delay and angle estimation using uplink or downlink pilot signals. However, hardware impairments (HWIs) distort the signals at both the transmitter and receiver sides and thus affect the localization performance. While this impact can be ignored at lower frequencies where HWIs are less severe, and the localization requirements are not stringent, modeling and analysis efforts are needed for high-frequency 6G bands (e.g., sub-THz) to assess degradation in localization accuracy due to HWIs. In this work, we model various types of impairments for a sub-THz multiple-input-multiple-output communication system and conduct a misspecified Cramér-Rao bound analysis to evaluate HWI-induced performance losses in terms of angle/delay estimation and the resulting 3D position/orientation estimation error. Complementary to the localization analysis, we also investigate the effect of individual and overall HWIs on communication in terms of symbol error rate (SER). Our extensive simulation results demonstrate that each type of HWI leads to a different level of degradation in angle and delay estimation performance. The prominent factors on delay estimation (e.g., phase noise and carrier frequency offset) will have a dominant negative effect on SER, while the impairments affecting only the angle estimation (e.g., mutual coupling and antenna displacement) induce slight degradation in SER performance.

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“…The state estimate,x l , results from the posterior state-mean (18) and it is used to produce an estimateĤ EKF (r,m) k,l of the CFR. In fact, using the elements of the state vector estimatê…”

Section: B Ekf Cfr Estimatementioning

confidence: 99%

“…The use of Kalman-based techniques for synchronization purposes is not new to the literature (see [17], and references within, or the more recent work [18]) and some of these techniques were even considered for space applications, particularly as a mean to track highly dynamic GPS signals [19]- [22]. The use of Kalman filters for tracking Doppler shifts in broadband radio inter-satellite communications appears in [23]- [25].…”

Section: Introductionmentioning

confidence: 99%

A State-Space Approach for Tracking Doppler Shifts in Radio Inter-Satellite Links

et al. 2021

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The high Doppler effects in satellite communications make the equivalent channels fast varying, which leads to channel estimation difficulties and the need for high channel estimation overheads. In this paper we propose a state-space approach for tracking channel variations for satellite links with high Doppler frequency shifts. We consider the communication between satellite links where a multi-antenna receiving satellite is connected to several transmitting satellites, which can have substantially different Doppler drifts. The proposed channel tracking technique follows the individual Doppler drifts for the different satellites. Finally, our performance results indicate that the proposed channel tracking is able to cope with strong Doppler drifts, without the need for high channel estimation overheads, making it a promising technique for future systems using satellite mega-constellations.INDEX TERMS Channel tracking, Doppler effects, extended Kalman filters, satellite communications.

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An Extended Kalman Filter Framework for Joint Phase Noise, CFO and Sampling Time Error Estimation

Cited by 8 publications

References 5 publications

Blind Vector Parameter Estimation for Burst Type CPM Transmissions

Blind Vector Parameter Estimation for Burst Type CPM Transmissions

MCRB-based Performance Analysis of 6G Localization under Hardware Impairments

A State-Space Approach for Tracking Doppler Shifts in Radio Inter-Satellite Links

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