1. Maximum Likelihood Time Synchronization for Zero-padded OFDM
- Author
-
Masoud Ardakani, Koosha Pourtahmasi Roshandeh, and Mostafa Mohammadkarimi
- Subjects
Signal Processing (eess.SP) ,FOS: Computer and information sciences ,Computer science ,Orthogonal frequency-division multiplexing ,Information Theory (cs.IT) ,Computer Science - Information Theory ,Monte Carlo method ,020206 networking & telecommunications ,02 engineering and technology ,Multiplexing ,Synchronization ,Cyclic prefix ,Computer Science::Performance ,Dimension (vector space) ,Signal Processing ,Synchronization (computer science) ,FOS: Electrical engineering, electronic engineering, information engineering ,0202 electrical engineering, electronic engineering, information engineering ,Fading ,Electrical and Electronic Engineering ,Electrical Engineering and Systems Science - Signal Processing ,Algorithm ,Computer Science::Information Theory ,Communication channel - Abstract
Existing Orthogonal Frequency-Division Multiplexing (OFDM) variants based on cyclic prefix (CP) allow for efficient time synchronization, but suffer from lower power efficiency compared to zero-padded (ZP)-OFDM. Because of its power efficiency, ZP-OFDM is considered as an appealing solution for the emerging low-power wireless systems. However, in the absence of CP, time synchronization in ZP-OFDM is a challenging task. In this paper, the non-data-aided (NDA) maximum-likelihood (ML) time synchronization for ZP-OFDM is analytically derived. We show that the optimal NDA-ML synchronization algorithm offers a high lock-in probability and can be efficiently implemented using Monte Carlo sampling (MCS) technique in combination with golden-section search method in one dimension. To obtain the optimal NDA-ML time synchronization algorithm, we first derive a closed-form expression for the joint probability density function (PDF) of the received ZP-OFDM samples in frequency-selective fading channels. The derived expression is valid for doubly-selective fading channels with mobile users as well. The performance of the proposed synchronization algorithm is evaluated under various practical settings through simulation experiments. It is shown that the proposed optimal NDA-ML synchronization algorithm and its MCS implementation substantially outperforms existing NDA time synchronization algorithms in terms of lock-in probability and mean-squared error (MSE).
- Published
- 2023