Wave Temporal Inversion via Intermediate-Frequency Signal Processing
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Solution Overview
Problem
Existing methods for temporal inversion of waves are limited by the need for expensive hardware when dealing with high frequencies, as they require sampling at twice the maximum frequency, leading to inefficiencies and high costs.
Innovation Solution
A method that lowers the central frequency of the signal using transformations like demodulation and modulation, allowing for sampling and processing at lower frequencies, thereby reducing hardware costs and enabling efficient temporal inversion without losing information.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If sampling is performed at twice the maximum frequency (Nyquist rate) to accurately process high-frequency signals, then measurement precision and information fidelity are improved, but hardware cost and system complexity increase significantly
Solution Approach 1:
The patent applies a preliminary frequency transformation (demodulation) to shift the high-frequency signal to a lower intermediate frequency before sampling. This preliminary action allows the subsequent sampling operation to occur at a lower rate, reducing hardware requirements while preserving the essential signal characteristics needed for temporal inversion.
Solution Approach 2:
The patent changes the frequency parameter of the signal by transforming it from its original high frequency f0 to a lower intermediate frequency. This parameter transformation enables the system to process the signal with lower-cost electronics that operate at reduced frequencies, while the original high-frequency characteristics are restored in the final output signal.
2Manufacturing precision
If high-frequency equipment is used to process signals at frequency f0, then signal processing accuracy is improved, but equipment cost and power consumption increase
Solution Approach 1:
The patent performs a preliminary frequency transformation to convert the high-frequency signal to a lower intermediate frequency before processing. This allows standard, lower-power electronics to perform the temporal inversion operations, significantly reducing power consumption while maintaining processing accuracy. The high-frequency characteristics are restored only in the final output stage.
3Measurement precision
If direct temporal inversion is performed on high-frequency signals, then temporal inversion accuracy is improved, but hardware cost and sampling requirements increase
Solution Approach 1:
The patent introduces an intermediate frequency domain as a mediator between the original high-frequency signal and the final temporally inverted output. By performing temporal inversion operations in this intermediate lower-frequency domain, the system achieves accurate temporal inversion without requiring expensive high-speed hardware. The intermediate representation preserves all necessary information for accurate inversion.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
Enables the production of temporally inverted waves using relatively cheap electronics, reducing the need for high-frequency equipment and improving the efficiency of wave processing and communication systems.
Implementation Method 1
a first transformation suitable for lowering the central frequency of the signal and for substantially not causing any loss of information with respect to the initial signal is applied to the initial signal s(t)
Implementation Method 2
a third transformation which generates the temporal inversion signal α·s(−t) is applied to the second set of transformed signals K′i(t)
Data Source
AI summary
According to the invention, a wave, corresponding to a signal s(t) may be temporally inverted by application of a first transformation to lower the central frequency thereof to produce a first set of transformed signals Ki(t) then a second set of transformed signals K′i(t) is produced representing the temporal inversion signal s(−t) and a third transformation is applied to said second set to generate the temporally-inverted signal s(−t)