Abstract
In this paper, based on the study of Linear Frequency Modulated Continuous Wave (LFMCW) radar, a ranging algorithm for the high-precision liquid level measurement in industry is proposed. A new algorithm is developed based on the MacLeod algorithm. The frequency offset δ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> is estimated, and then (δ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> -q, δ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> +q) is used as the iterative estimation initial iteration interval to determine the frequency offset δ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> more precisely. The improved algorithm is the Golden-MacLeod algorithm, referred to as the GM algorithm. Simulation results show that the GM can effectively reduce the estimation error and maintain the high frequency estimation accuracy at signal-to-noise ratio (SNR) up to -10 dB, which is better than the MacLeod algorithm. In addition, the estimation accuracy, stability and noise immunity are better than other algorithms in the variation interval of SNR greater than -5 dB. Liquid level measurement experiment is tested by TI’s IWR 6843ISK and DCA1000EVM. The measurement results also show that the measurement accuracy of the GM can meet the requirements of industrial applications. This also proves the reliability of the GM in practical applications.
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