An Efficient Frequency and Phase Estimation Algorithm With CRB Performance for FMCW Radar Applications

2015 ◽  
Vol 64 (7) ◽  
pp. 1868-1875 ◽  
Author(s):  
Steffen Scherr ◽  
Serdal Ayhan ◽  
Benjamin Fischbach ◽  
Akanksha Bhutani ◽  
Mario Pauli ◽  
...  
Keyword(s):  
Estimation Algorithm ◽  
Phase Estimation ◽  
Fmcw Radar ◽  
Phase Estimation Algorithm ◽  
Radar Applications

scholarly journals The Role of Millimeter-Waves in the Distance Measurement Accuracy of an FMCW Radar Sensor

Sensors ◽  
2019 ◽  
Vol 19 (18) ◽  
pp. 3938 ◽  
Author(s):  
Akanksha Bhutani ◽  
Sören Marahrens ◽  
Michael Gehringer ◽  
Benjamin Göttel ◽  
Mario Pauli ◽  
...  
Keyword(s):  
Millimeter Wave ◽  
Estimation Algorithm ◽  
Distance Measurement ◽  
Wave Frequency ◽  
Phase Estimation ◽  
60 Ghz ◽  
Distance Measurements ◽  
Fmcw Radar ◽  
Phase Estimation Algorithm ◽  
First Time

High-accuracy, short-range distance measurement is required in a variety of industrial applications e.g., positioning of robots in a fully automated production process, level measurement of liquids in small containers. An FMCW radar sensor is suitable for this purpose, since many of these applications involve harsh environments. Due to the progress in the field of semiconductor technology, FMCW radar sensors operating in different millimeter-wave frequency bands are available today. An important question in this context, which has not been investigated so far is how does a millimeter-wave frequency band influence the sensor accuracy, when thousands of distance measurements are performed with a sensor. This topic has been dealt with for the first time in this paper. The method used for analyzing the FMCW radar signal combines a frequency- and phase-estimation algorithm. The frequency-estimation algorithm based on the fast Fourier transform and the chirp-z transform provides a coarse estimate of the target distance. Subsequently, the phase-estimation algorithm based on a cross-correlation function provides a fine estimate of the target distance. The novel aspects of this paper are as follows. First, the estimation theory concept of Cramér-Rao lower bound (CRLB) has been used to compare the accuracy of two millimeter-wave FMCW radars operating at 60 GHz and 122 GHz. In this comparison, the measurement parameters (e.g., bandwidth, signal-to-noise ratio) as well as the signal-processing algorithm used for both the radars are the same, thus ensuring an unbiased comparison of the FMCW radars, solely based on the choice of millimeter-wave frequency band. Second, the improvement in distance measurement accuracy obtained after each step of the combined frequency- and phase-estimation algorithm has been experimentally demonstrated for both the radars. A total of 5100 short-range distance measurements are made using the 60 GHz and 122 GHz FMCW radar. The measurement results are analyzed at various stages of the frequency- and phase-estimation algorithm and the measurement error is calculated using a nanometer-precision linear motor. At every stage, the mean error values measured with the 60 GHz and 122 GHz FMCW radars are compared. The final accuracy achieved using both radars is of the order of a few micrometers. The measured standard deviation values of the 60 GHz and 122 GHz FMCW radar have been compared against the CRLB. As predicted by the CRLB, this paper experimentally validates for the first time that the 122 GHz FMCW radar provides a higher repeatability of micrometer-accuracy distance measurements than the 60 GHz FMCW radar.

scholarly journals Flexible DAML phase estimation algorithm in coherent optical M-PSK systems

2016 ◽  
Vol 46 (12) ◽  
pp. 1271-1278 ◽  
Author(s):  
Ping WANG ◽  
XiaoDi YOU ◽  
ZhaoHui MA ◽  
Xue LIU ◽  
Jian CHEN ◽  
...  
Keyword(s):  
Estimation Algorithm ◽  
Phase Estimation ◽  
Phase Estimation Algorithm

scholarly journals A Phase Estimation Algorithm for Quantum Speed-Up Multi-Party Computing

2021 ◽  
Vol 67 (1) ◽  
pp. 241-252
Author(s):  
Wenbin Yu ◽  
Hao Feng ◽  
Yinsong Xu ◽  
Na Yin ◽  
Yadang Chen ◽  
...  
Keyword(s):  
Estimation Algorithm ◽  
Phase Estimation ◽  
Speed Up ◽  
Phase Estimation Algorithm ◽  
Quantum Speed Up

Improved Carrier Phase Estimation Algorithm Based on Linear Phase Interpolation

2013 ◽  
Vol 33 (9) ◽  
pp. 0906012
Author(s):  
钟康平 Zhong Kangping ◽  
李唐军 Li Tangjun ◽  
孙剑 Sun Jian ◽  
贾楠 Jia Nan ◽  
王目光 Wang Muguang
Keyword(s):  
Carrier Phase ◽  
Estimation Algorithm ◽  
Phase Estimation ◽  
Linear Phase ◽  
Phase Estimation Algorithm ◽  
Phase Interpolation

A Phase Estimation Algorithm for Optical Linear Sampling

2016 ◽  
Vol 45 (8) ◽  
pp. 806002
Author(s):  
李飞涛 LI Fei-tao ◽  
赵卫 ZHAO Wei ◽  
刘元山 LIU Yuan-shan
Keyword(s):  
Estimation Algorithm ◽  
Phase Estimation ◽  
Phase Estimation Algorithm ◽  
Linear Sampling

scholarly journals Amplitude estimation without phase estimation

2020 ◽  
Vol 19 (2) ◽  
Author(s):  
Yohichi Suzuki ◽  
Shumpei Uno ◽  
Rudy Raymond ◽  
Tomoki Tanaka ◽  
Tamiya Onodera ◽  
...  
Keyword(s):  
Measurement Data ◽  
Likelihood Estimation ◽  
Estimation Algorithm ◽  
Quantum Circuits ◽  
Phase Estimation ◽  
Amplitude Estimation ◽  
Quantum Amplitude ◽  
Phase Estimation Algorithm ◽  
Near Term ◽  
Quantum Speedup

AbstractThis paper focuses on the quantum amplitude estimation algorithm, which is a core subroutine in quantum computation for various applications. The conventional approach for amplitude estimation is to use the phase estimation algorithm, which consists of many controlled amplification operations followed by a quantum Fourier transform. However, the whole procedure is hard to implement with current and near-term quantum computers. In this paper, we propose a quantum amplitude estimation algorithm without the use of expensive controlled operations; the key idea is to utilize the maximum likelihood estimation based on the combined measurement data produced from quantum circuits with different numbers of amplitude amplification operations. Numerical simulations we conducted demonstrate that our algorithm asymptotically achieves nearly the optimal quantum speedup with a reasonable circuit length.

Sign in / Sign up

Export Citation Format

Share Document