Multi-Channel Complex Sampling for Time-Delay Signal Reconstruction
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Solution Overview
Problem
Existing signal processing technologies face limitations in performing complex sampling using second-order or higher sampling channels, particularly in handling signal bandwidths equal to or greater than the sampling frequency, and in accurately calculating time delays between sampling channels, especially when signal frequency ranges contain whole multiples or half-multiples of the sampling frequency.
Innovation Solution
A system and method for complex sampling that employs multiple sampling channels with predefined-order sampling, including analog-to-digital converters, frequency-domain transformation units, delay units, and multiplication units to generate frequency-domain complex signals, along with a processing unit to calculate time delays, using phase and gain coefficients to handle frequency-domain components and invertible Fourier transforms for time-domain processing.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If uniform sampling is used according to Nyquist-Shannon theorem, then signal reconstruction is possible when sampling frequency exceeds 2B, but the theorem is invalid when signal frequency contains whole multiples or half-multiples of sampling frequency
Solution Approach 1:
The patent divides the sampling process into multiple uniform sampling sequences that are interleaved to form a non-uniform sampling pattern. This segmentation allows the system to handle bandpass signals by creating multiple sampling channels with different time offsets, thereby resolving the aliasing issue when signal frequencies are multiples of the sampling frequency.
Solution Approach 2:
The patent employs periodic sampling with a predefined period that is a multiple of the signal period. By sampling at regular intervals that align with the signal's periodicity, the system ensures accurate reconstruction of bandpass signals while avoiding the limitations of the Nyquist-Shannon theorem for signals with frequencies at multiples of the sampling rate.
2Productivity
If second-order sampling is used for bandpass signals, then minimal sampling rate of two-times bandwidth can be achieved, but accurate time delay calculation between channels becomes difficult when frequencies are multiples of sampling frequency
Solution Approach 1:
The patent implements a feedback mechanism where the system measures the actual time delays between multiple sampling channels and uses this information to calculate and compensate for delays in the signal reconstruction process. This feedback approach enables accurate time delay calculation even when signal frequencies are multiples of the sampling frequency, thereby maintaining measurement precision while achieving high sampling rate efficiency.
3Adaptability or versatility
If multiple sampling channels with predefined delays are used, then signal bandwidth can be extended beyond sampling frequency, but system complexity increases
Solution Approach 1:
The patent designs a universal sampling system where multiple sampling channels serve dual purposes: they both extend the signal bandwidth coverage and provide redundant measurement paths for accurate time delay calculation. By making the system multi-functional, the patent reduces the need for additional dedicated components, thereby managing device complexity while achieving extended bandwidth coverage.
Data Source
AI summary
A method and system for performing complex sampling of signals by using two or more sampling channels and for calculating time delays between these channels. According to certain embodiments of the presently disclosed subject matter, the system and method are operable to enable a complex sampling of a signal in a frequency-domain by means of a predefined-order sampling, including utilizing a sampling channel for converting an analog signal to a corresponding substantially non-delayed digital signal; and transforming the digital signal to a plurality of corresponding frequency-domain substantially non-delayed discrete components; providing one or more additional sampling channels enabling to perform a predefined-order sampling, the predefined-order depending on a number of the one or more additional sampling channels, each additional sampling channel configured to perform a number of stage, giving rise to the multiplied frequency-domain delayed discrete components; and combining the multiplied frequency-domain delayed discrete components with the corresponding frequency-domain substantially non-delayed discrete components, giving rise to an output frequency-domain complex signal.