Wavelet Transformer for Digital Multi-Carrier Timing Correction
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Solution Overview
Problem
Conventional wavelet transformers using cosine modulated filter banks struggle to quickly respond to symbol timing deviations, requiring additional time and symbols to correct, which affects the efficiency of digital wavelet multi-carrier transmission methods.
Innovation Solution
A receiving apparatus employing a digital multi-carrier transmission method with a wavelet transformer that stores received waveforms for 2K symbols, allowing for wavelet transform operations based on extended lapped transform, and utilizing a butterfly operation unit with multiple stages to process multiple symbols simultaneously, reducing the time needed to correct symbol timing deviations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If conventional wavelet transformers using cosine modulated filter banks are used, then the transmission method can be implemented, but the response time to symbol timing deviations is slow
Solution Approach 1:
The wavelet transformer stores received waveforms for 2K symbols in advance (where K is the overlapping coefficient), preparing the data needed for timing correction before actual deviation occurs. This preliminary storage enables faster response when timing deviations are detected, as the transformer already has the necessary waveform data available for immediate processing.
Solution Approach 2:
The wavelet transformer is divided into multiple stages (first wavelet transformer and second wavelet transformer) that process different portions of the received signal simultaneously. This segmentation allows parallel processing of timing correction operations, reducing the overall time needed to correct symbol timing deviations compared to a single-stage processor.
2Measurement precision
If additional time is spent correcting symbol timing deviations, then timing accuracy is improved, but transmission efficiency decreases
Solution Approach 1:
By storing received waveforms for 2K symbols in advance, the system prepares timing correction data beforehand, enabling rapid timing adjustment without requiring additional transmission time. This preliminary preparation maintains timing accuracy while preventing efficiency loss.
Solution Approach 2:
The wavelet transformer continuously processes received waveforms and maintains the stored waveform data ready for immediate use. This continuous operation ensures that timing corrections can be applied without interrupting the transmission flow, maintaining both accuracy and efficiency.
3Reliability
If more preamble symbols are used, then symbol synchronization is improved, but the number of symbols required for data transmission increases
Solution Approach 1:
The system stores received waveforms for 2K symbols in advance, which provides sufficient data for synchronization without requiring excessive preamble symbols. This preliminary storage enables the receiver to perform synchronization using a reduced number of preamble symbols while maintaining reliable timing detection.
Data Source
AI summary
A receiving apparatus and receiving method employ a digital multi-carrier transmission technique utilizing a real coefficient wavelet filter bank in digital demodulation. The receiving apparatus may include a memory configured to store received waveform data corresponding to 2K symbols or more and a wavelet transformer configured to perform a wavelet transform based on the received waveform data stored in the memory, where K is an overlapping coefficient of a wavelet filter bank utilizing extended lapped transform (ELT).