Sampled Signal Phase Detection Using Sine-Cosine Scalar Products
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Solution Overview
Problem
Existing phase detection methods in transferring media are prone to inaccuracies due to system parameters like sampling accuracy, frequency set accuracy, and interference from reflections and Doppler effects, making precise phase determination at the outlet of a transferring medium challenging.
Innovation Solution
A phase detection method involving the generation of sine and cosine sequences based on known circular frequencies, allowing for the determination of phase real and imaginary parts through scalar products, which can be normalized and computed efficiently, independent of Nyquist-Shannon sampling frequency requirements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional phase detection methods are used with synchronized receiver and known sampling frequency, then the phase difference can be determined, but the measurement accuracy is degraded by sampling accuracy limitations, frequency set accuracy, and interference from reflections and Doppler effects
Solution Approach 1:
The patent extracts only the phase information from the received signal by computing scalar products with sine and cosine sequences, separating the phase measurement from other signal characteristics that may contain interference. This extraction approach isolates the useful phase data while filtering out harmful reflections and Doppler effects.
Solution Approach 2:
The patent introduces sine and cosine sequences as intermediary reference signals that mediate between the received signal and the phase measurement. These intermediary sequences enable accurate phase determination by providing a stable reference framework that is independent of the interfering factors affecting the original signal.
2Measurement precision
If the receiver is synchronized with the transmitter and the received signal is sampled, then the phase difference can be calculated, but the measurement accuracy depends on multiple system parameters including sampling accuracy and frequency set accuracy
Solution Approach 1:
The method uses the received signal itself and its scalar products with standard sine and cosine sequences to determine phase, making the system self-sufficient. The approach does not require external synchronization or multiple system parameters to be perfectly accurate, as the phase information is extracted directly from the signal characteristics.
3Measurement precision
If traditional sampling methods are used according to Nyquist-Shannon theorem, then the signal can be reconstructed, but the phase determination becomes complex and dependent on strict sampling frequency requirements
Solution Approach 1:
The patent changes the fundamental parameter approach by determining phase directly from scalar products of sampled values with sine and cosine sequences, rather than first reconstructing the signal according to Nyquist-Shannon requirements. This parameter change allows phase determination to be independent of strict sampling frequency constraints, providing greater adaptability.
Data Source
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), said values (Y0, Y1, . . . , YN−1) having been sampled with a known sampling frequency fs and said receiving signal (Y) representing a reaction 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), said sine sequence (Sj) comprising sine values of consecutive multiples of a known circular frequency, which depends on the transmitting frequency and the sampling frequency, and said cosine sequence (Cj) comprising cosine values of consecutive multiples of the known circular frequency; and determining (203) a phase real part (U) of the receiving signal (Y) based on a scalar product of the receiving sequence (Yj) with the cosine sequence (Cj) and a phase imaginary part (V) of the receiving signal based on a scalar product of the receiving sequence (Yj) with the sine sequence (Sj).