Signal sampling and recovery method and apparatus applicable to OvXDM system, and OvXDM system

A signal sampling and recovery apparatus applicable to an Overlapped X Division Multiplexing (OvXDM) system, comprising a hardware processor and a memory, the hardware processor is configured to execute programming units stored in the memory, and the programming units comprise:

• an observation matrix constructing unit, configured to construct, based on design parameters, an observation matrix Φ that is irrelevant to an original signal y, wherein the observation matrix Φ is a two-dimensional M*S matrix, S is a length of the original signal y, and M is smaller than S, and M/S is greater than 0.1;
• a compression unit, configured to compress the original signal y based on a formula Ycs=ΦY, to obtain a M*1 compressed signal Ycs, wherein Y is a S*1 column vector that is obtained according to the original signal y;
• and
• a reconstructing and recovery unit, configured to reconstruct the compressed signal Ycs based on a predetermined algorithm, so as to recover the original signal y.

An Overlapped X Division Multiplexing (OvXDM) system, comprising the signal sampling and recovery apparatus, wherein the signal sampling and recovery apparatus comprises a hardware processor and a memory, the hardware processor is configured to execute programming units stored in the memory, and the programming units comprise:

• an observation matrix constructing unit, configured to construct, based on design parameters, an observation matrix Φ that is irrelevant to an original signal y, wherein the observation matrix Φ is a two-dimensional M*S matrix, S is a length of the original signal y, and M is smaller than S, and M/S is greater than 0.1;
• a compression unit, configured to compress the original signal y based on a formula Ycs=ΦY, to obtain a M*1 compressed signal Ycs, wherein Y is a S*1 column vector that is obtained according to the original signal y;
• and
• a reconstructing and recovery unit, configured to reconstruct the compressed signal Ycs based on a predetermined algorithm, so as to recover the original signal y.