Phase Detection Using Scalar Products at Flexible Sampling Rates
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Solution Overview
Problem
Existing phase detection methods are prone to inaccuracies due to dependencies on system parameters such as scanning accuracy, frequency setting, and interference from reflections and Doppler effects, making precise determination of phase at the output of a transmission medium challenging.
Innovation Solution
A phase detection method involving the use of sine and cosine sequences based on known angular frequencies, allowing for the determination of phase through scalar products, which can be normalized to provide precise phase values without requiring synchronization with the Nyquist-Shannon sampling frequency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional phase detection methods using synchronization and analog-to-digital conversion are employed, then phase difference can be determined, but measurement accuracy deteriorates due to dependencies on scanning accuracy, frequency setting accuracy, coupling accuracy, and interference from reflections and Doppler effects
Solution Approach 1:
The patent replaces traditional mechanical/synchronization-based phase detection with a mathematical transformation approach. Instead of relying on hardware synchronization and analog-to-digital conversion timing, the invention uses discrete Fourier transformation or scalar product calculations with sine and cosine sequences to determine phase. This substitution of mathematical processing for mechanical synchronization eliminates dependencies on scanning accuracy, frequency setting accuracy, and coupling accuracy, thereby resolving the contradiction between measurement precision and reliability.
2Ease of operation
If receiver synchronization with transmitter is implemented, then phase difference determination is enabled, but the system becomes complex and sensitive to multiple system parameters
Solution Approach 1:
The patent extracts the phase information determination from the complex synchronized measurement system. By using scalar product calculations between the received signal and reference sine/cosine sequences, the invention isolates phase determination from dependencies on scanning accuracy, frequency setting, coupling accuracy, and other system parameters. This extraction simplifies the operational process while reducing sensitivity to system parameter variations.
3Measurement precision
If Nyquist-Shannon sampling frequency synchronization is required, then accurate signal reconstruction is achieved, but the sampling frequency constraint limits flexibility and increases system complexity
Solution Approach 1:
The patent changes the fundamental parameter approach by using scalar product calculations with known sine and cosine sequences at the actual sampling frequency, rather than requiring conversion to Nyquist-Shannon sampling frequency. This parameter change allows phase determination at any sampling frequency, providing flexibility while maintaining accuracy through the mathematical orthogonality of sine and cosine functions. The method adapts to different sampling rates without requiring synchronization to specific frequency standards.
Data Source
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AI summary
The invention relates to a phase detection method (200), comprising the following steps: receiving (201) a receiving sequence (Yj) of values (Y0, Y1, YN-1) of a receiving signal (Y) that are scanned at a known scanning frequency fs, wherein the receiving signal (Y) is a response to a transmitting signal having a known transmitting frequency fw; providing (202) a sine sequence (Sj) and a cosine sequence (Cj) for each index (j) of the receiving sequence (Yj), the sine sequence (Sj) comprising sine values of consecutive multiples of a known angular frequency, which depends on the transmitting frequency and the scanning frequency, and the cosine sequence (Q) comprising cosine values of consecutive multiples of the known angular frequency; and determining (203) a phase real part (U) of the receiving signal (Y) on the basis of a scalar product of the receiving sequence (Yj) with the cosine sequence (Cj) and a phase imaginary part (V) of the receiving signal on the basis of a scalar product of the receiving sequence (Yj) with the sine sequence (Sj).