Abstract

A timing recovery algorithm is introduced that operates with less than two samples per symbol and provides an enormous complexity reduction. The complexity reduction is due to a synergy with the already existing Fourier transforms in a coherent receiver, an avoidance of terms that are dominated by noise, and a complete elimination of multiplications. A simulation and an experiment with a single carrier modulation format show that the inherent timing jitter is, despite of the significant complexity reduction, comparable with the state of the art, and in particular outperforms the Godard algorithm for low roll-off factors. In addition, it is one of the few algorithms that operates with less than two samples per symbol in the frequency domain, and thus enables the lowest complexity in a receiver.

Highlights

  • Timing recovery estimates and corrects the sampling phase in a receiver

  • The received signal is multiplied with a reference clock and the low pass filtered product is used to drive a voltage-controlled oscillator (VCO)

  • A twofold oversampled signal is processed in the frequency domain. These techniques are designed to operate with a single carrier modulation format, such as pulse amplitude modulation (PAM) or quadrature amplitude modulation (QAM) with different pulse shapes

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Summary

Introduction

Timing recovery estimates and corrects the sampling phase in a receiver. As transmitters and receivers usually operate using different clock sources, sampling points at the receiver will not be aligned to the incoming data symbols. Combined time and frequency domain techniques process a time signal and calculate a frequency domain coefficient corresponding to the clock tone of the signal This clock tone contains the sampling phase information. A twofold oversampled signal is processed in the frequency domain These techniques are designed to operate with a single carrier modulation format, such as pulse amplitude modulation (PAM) or quadrature amplitude modulation (QAM) with different pulse shapes. The ideal timing recovery technique would fulfill two conditions It should operate with less than two samples per symbol to reduce the total amount of samples that have to be processed. We present our real-time capable modified Godard timing recovery [8] It operates with non-integer oversampling and less than two samples per symbol.

Non-Integer Oversampling Receiver Architecture in the Frequency Domain
Multiplier‐Free
Modified Godard Algorithm for Simplified Clock Tone Calculation
Illustration of the magnitude
The red curve estimation errorthe in actual logarithmic
Second
Multiplier-Free Modified Godard Algorithm
Simulation
Comparison of the Modified Godard Algorithm to the Gardner Algorithm
Realization of Multiplier-Free Modified Godard on Real-Time Platform
Performance Evaluation in Experiment
12. Overview
Conclusions
Findings
13. Measurement

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