Communication Apparatus Wavelet Hilbert Complex Data
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Solution Overview
Problem
The existing Digital Wavelet Multi-Carrier (DWMC) transmission method can only treat amplitude information, failing to correct phase and amplitude distortions, which reduces transmission efficiency due to its inability to handle complex information.
Innovation Solution
A communication apparatus employing a DWMC transmission method with a receiver that includes a wave detecting section featuring a first wavelet transformer, a Hilbert transformer, and a second wavelet transformer to generate complex data by defining outputs as in-phase and orthogonal components, enabling the treatment of complex information.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If real coefficient wavelet filter banks are used for modulation and demodulation, then the system can be implemented with real number processing, but the system cannot treat complex information and cannot correct phase distortions
Solution Approach 1:
The patent transitions from real number processing to complex number processing by introducing the Hilbert transformer. The Hilbert transformer generates quadrature components (sine and cosine waves) that form the imaginary and real parts of complex signals, enabling the system to handle phase information in addition to amplitude information. This dimensional expansion from real to complex domain allows simultaneous treatment of both magnitude and phase characteristics.
Solution Approach 2:
The Hilbert transformer serves as an intermediary component that bridges real coefficient wavelet filter banks and complex information processing. It transforms real-valued wavelet coefficients into complex-valued representations by generating Hilbert transform pairs, enabling the subsequent wavelet transformers to process complex signals and extract both amplitude and phase information for distortion correction.
2Device complexity
If only amplitude information is processed, then the system structure remains simple, but transmission efficiency decreases under adverse transmission conditions
Solution Approach 1:
The system expands from one-dimensional amplitude processing to two-dimensional complex signal processing by incorporating the Hilbert transformer. This enables extraction of both amplitude and phase information from received signals, providing additional degrees of freedom for compensation and correction, thereby improving transmission efficiency without excessive complexity increase.
Solution Approach 2:
The wave detecting section with Hilbert transformer and multiple wavelet transformers serves multiple functions: it performs amplitude detection, phase detection, and distortion correction simultaneously. This multi-functional approach enhances transmission efficiency by utilizing both amplitude and phase information for more robust signal recovery under adverse conditions.
3Reliability
If complex information processing is implemented, then phase and amplitude distortions can be corrected, but the device complexity increases
Solution Approach 1:
The receiver is segmented into distinct functional modules: a Hilbert transformer for generating quadrature components, multiple wavelet transformers for different processing stages, and a wave detecting section for information extraction. This modular segmentation organizes the complex processing tasks into manageable units, making the system more implementable and maintainable despite the increased complexity.
Solution Approach 2:
The patent introduces complex number processing as an additional dimension to the traditional real-valued signal processing framework. By representing signals in the complex domain through Hilbert transform pairs, the system gains the ability to separately manipulate amplitude and phase components, enabling effective distortion correction while maintaining a structured approach to complexity management.
Data Source
AI summary
A wave detecting section of a receiver has a first wavelet transformer involving a plurality of wavelet filters orthogonal to each other for performing a wavelet transform on received waveform data, a Hilbert transformer for performing a Hilbert transform on the received waveform data, a second wavelet transformer having the same configuration as that of the first wavelet transformer for performing a wavelet transform on outputs from the Hilbert transformer, a code converter for inverting the codes of outputs in odd-numbered places among outputs from the second wavelet transformer, a level converter for correcting fluctuations of outputs from the code converter attributable to a ripple of the Hilbert transformer, and a complex data generator for generating complex data, by defining outputs of the first wavelet transformer as in-phase components of the complex information and outputs from the level converter as orthogonal components of the complex information.