Compressive Sampling Precoding for Signal Aliasing Interference
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Solution Overview
Problem
Compressive sampling receiving devices experience mutual interference between signals, leading to a low signal-to-interference-plus-noise ratio (SINR) due to signals being aliased to the same frequency band, which affects the quality of signal restoration in radio communications systems.
Innovation Solution
A signal processing method that involves generating a precoding matrix based on a periodic pseudo random sequence, where the conjugate transpose matrix meets a singular value decomposition formula, is used to precoding process information symbols before transmission, ensuring orthogonality between signals and reducing interference at the receiving device.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Speed
If compressive sampling receiving device aliases multiple narrow band signals to the same frequency band, then sampling rate requirement is reduced, but signal-to-interference-plus-noise ratio (SINR) deteriorates due to mutual interference
Solution Approach 1:
The transmitter performs precoding processing on information symbols before transmission, using a precoding matrix constructed based on the periodic pseudo random sequence. This preliminary action ensures that when signals are aliased to the same frequency band at the receiver, the orthogonality is maintained and mutual interference is avoided, thus improving SINR while keeping compressive sampling
Solution Approach 2:
A precoding matrix serves as an intermediary between the information symbols and the transmission channel. The matrix is constructed using the periodic pseudo random sequence that both transmitter and receiver know, and it transforms the information symbols in such a way that after aliasing and frequency mixing, the signals remain orthogonal and can be correctly recovered
2Adaptability or versatility
If multiple frequency converters and filters are added to support aggregation of multiple spectral subbands, then spectral bandwidth utilization is improved, but device complexity increases
Solution Approach 1:
The precoding matrix based on periodic pseudo random sequence provides a universal solution that works for any combination of narrow band signals and any subband aggregation pattern. Instead of needing dedicated frequency converters and filters for each subband configuration, the same precoding mechanism handles all cases, making the system adaptable to different spectral configurations without increasing hardware complexity
Data Source
AI summary
Embodiments provide a signal processing method, a transmitter, and a compressive sampling receiving device. The method includes: obtaining a periodic pseudo random sequence used when a compressive sampling receiving device performs frequency mixing. The method also includes selecting 2N information symbols from N radio signals; determining a precoding matrix D according to the periodic pseudo random sequence. The method also includes using the precoding matrix to perform precoding processing on the 2N information symbols to obtain 2N precoding results. The method also includes separately transmitting the 2N precoding results to the compressive sampling receiving device by using the 2N carriers.