A simple method to measure phase difference between sinusoidal signals

2010 ◽  
Vol 81 (11) ◽  
pp. 115106 ◽  
Author(s):  
Fabio Luiz Bertotti ◽  
Marcos Santos Hara ◽  
Paulo Jose Abatti
Keyword(s):  
Phase Difference ◽  
Simple Method ◽  
Sinusoidal Signals ◽  
Measure Phase Difference

scholarly journals Evaluation of Uncertainty of Phase Difference Determination in Presence of Bias

2016 ◽  
Vol 23 (4) ◽  
pp. 603-614 ◽  
Author(s):  
Lazar V. Saranovac ◽  
Nada M. Vučijak
Keyword(s):  
Measurement Uncertainty ◽  
Phase Difference ◽  
The Other ◽  
Real Signal ◽  
Measurement Systems ◽  
Comparison Of Results ◽  
Sinusoidal Signals

AbstractDetermination of the phase difference between two sinusoidal signals with noise components using samples of these signals is of interest in many measurement systems. The samples of signals are processed by one of many algorithms, such as 7PSF, UQDE and MSAL, to determine the phase difference. The phase difference result must be accompanied with estimation of the measurement uncertainty. The following issues are covered in this paper: the MSAL algorithm background, the ways of treating the bias influence on the phase difference result, comparison of results obtained by applying MSAL and the other mentioned algorithms to the same real signal samples, and evaluation of the uncertainty of the phase difference.

scholarly journals Phase Spectrometry For High Precision mm-Wave DoA Estimation In 5G Systems

2021 ◽  
Author(s):  
Farzam Hejazi ◽  
Nazanin Rahnavard
Keyword(s):  
Phase Difference ◽  
Antenna Arrays ◽  
Estimation Method ◽  
Doa Estimation ◽  
Satellite Communications ◽  
Conventional Technique ◽  
Base Station ◽  
Frequency Code ◽  
Measure Phase Difference ◽  
Code Book

In this paper, we introduce a direction of arrival (DoA) estimation method based on a technique named phase spectrometry (PS) that is mainly suitable for mm-Wave and Tera-hertz applications as an alternative for DoA estimation using antenna arrays. PS is a conventional technique in optics to measure phase difference between two waves at different frequencies of the spectrum. Here we adapt PS for the same purpose in the radio frequency band. We show that we can emulate a large array exploiting only two antennas. To this end, we measure phase difference between the two antennas for different frequencies using PS. Consequently, we demonstrate that we can radically reduce the complexity of the receiver required for DoA estimation employing PS. We consider two different schemes for implementation of PS: via a long wave-guide and frequency code-book. We show that using a frequency code-book, higher processing gain can be achieved. Moreover, we introduce three PS architectures: for device to device DoA estimation, for base-station in uplink scenario and an ultra-fast DoA estimation technique mainly for radar and aerial and satellite communications. Simulation and analytical results show that, PS is capable of detecting and discriminating between multiple incoming signals with different DoAs. Moreover, our results also show that, the angular resolution of PS depends on the distance between the two antennas and the band-width of the frequency code-book. Finally, the performance of PS is compared with a uniform linear array (ULA) and it is shown that PS can perform the same, with a much less complex receiver, and without the prerequisite of spatial search for DoA estimation.

scholarly journals Phase Spectrometry For High Precision mm-Wave DoA Estimation In 5G Systems

2021 ◽  
Author(s):  
Farzam Hejazi ◽  
Nazanin Rahnavard
Keyword(s):  
Phase Difference ◽  
Antenna Arrays ◽  
Estimation Method ◽  
Doa Estimation ◽  
Satellite Communications ◽  
Conventional Technique ◽  
Base Station ◽  
Frequency Code ◽  
Measure Phase Difference ◽  
Code Book

In this paper, we introduce a direction of arrival (DoA) estimation method based on a technique named phase spectrometry (PS) that is mainly suitable for mm-Wave and Tera-hertz applications as an alternative for DoA estimation using antenna arrays. PS is a conventional technique in optics to measure phase difference between two waves at different frequencies of the spectrum. Here we adapt PS for the same purpose in the radio frequency band. We show that we can emulate a large array exploiting only two antennas. To this end, we measure phase difference between the two antennas for different frequencies using PS. Consequently, we demonstrate that we can radically reduce the complexity of the receiver required for DoA estimation employing PS. We consider two different schemes for implementation of PS: via a long wave-guide and frequency code-book. We show that using a frequency code-book, higher processing gain can be achieved. Moreover, we introduce three PS architectures: for device to device DoA estimation, for base-station in uplink scenario and an ultra-fast DoA estimation technique mainly for radar and aerial and satellite communications. Simulation and analytical results show that, PS is capable of detecting and discriminating between multiple incoming signals with different DoAs. Moreover, our results also show that, the angular resolution of PS depends on the distance between the two antennas and the band-width of the frequency code-book. Finally, the performance of PS is compared with a uniform linear array (ULA) and it is shown that PS can perform the same, with a much less complex receiver, and without the prerequisite of spatial search for DoA estimation.

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