Complex Signal Sampling Across Wide Bandwidths With Channel Delay Correction
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Solution Overview
Problem
Existing signal processing technologies face limitations in performing complex sampling using second-order or higher-order 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 the signal frequency range contains whole multiples or half-multiples of the sampling frequency.
Innovation Solution
A method and system for complex sampling using two or more sampling channels, where the input signal is filtered and sampled with predefined time delays, and then processed using Fast Fourier Transform (FFT) to calculate phase and gain coefficients for each frequency component, allowing for accurate time delay determination and generation of a complex signal spectrum, even when the signal frequency range exceeds the Nyquist frequency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If conventional sampling methods are used, then the sampling process is simple, but the signal bandwidth is limited to be less than the sampling frequency
Solution Approach 1:
The sampling process is divided into multiple sampling channels (first sampling channel and second sampling channel), each handling different portions of the frequency spectrum. This segmentation allows the system to process wider bandwidth signals by distributing the sampling burden across multiple channels with different sampling frequencies.
Solution Approach 2:
The invention transitions from single-channel real sampling to multi-channel complex sampling, adding the dimension of complex signal processing. By using multiple sampling channels with different sampling frequencies and combining their outputs through complex arithmetic operations, the system achieves extended bandwidth capability beyond what a single channel could provide.
2Reliability
If the signal frequency range contains whole multiples or half-multiples of the sampling frequency, then conventional reconstruction fails, but the patent enables accurate reconstruction
Solution Approach 1:
Each sampling channel is assigned a specific frequency range with tailored processing characteristics. The first sampling channel handles frequencies below its Nyquist frequency, while the second sampling channel handles frequencies above its Nyquist frequency. This local quality approach allows accurate reconstruction of signals with frequency components at whole multiples or half-multiples of sampling frequencies by directing them to appropriate channels.
Solution Approach 2:
The reconstruction process combines spectral components from multiple sampling channels using complex arithmetic operations. By composite-ing the frequency spectra from different channels with appropriate phase and amplitude adjustments, the system achieves accurate signal reconstruction even when individual channels encounter aliasing conditions at whole multiples or half-multiples of their sampling frequencies.
3Productivity
If second-order or higher sampling is used, then the sampling rate can be reduced, but the time delay calculation between channels becomes complex
Solution Approach 1:
The system pre-calculates and stores the relationship between frequency components and their corresponding time delays for each sampling channel. By performing this calculation in advance and creating lookup tables or predefined parameters, the system avoids complex real-time calculations during signal processing, thus maintaining high sampling rate efficiency while simplifying the operational complexity.
Solution Approach 2:
The invention replaces complex mechanical or algorithmic time delay calculation mechanisms with a computational approach based on frequency-domain analysis. By using Fast Fourier Transform (FFT) and complex arithmetic to determine time delays from phase differences in the frequency domain, the system achieves accurate time delay measurement without complex time-domain correlation calculations.
Data Source
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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 (X(t)) to a corresponding substantially non-delayed digital signal (105'); and transforming (210') the digital signal to a plurality of corresponding frequency-domain substantially non-delayed discrete components; providing one or more additional sampling channels (205'') 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 (205'') is multiplied with phase and gain coefficients (250); 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.