There are critical requirements for security in Big Data collection and transmission of Big Data through a communication network. A new secure transmission for Big Data based on nested sampling and co-prime sampling is proposed in this paper. With nested sampling and coprime sampling, Big Data could also achieve higher PSD for BFSK signal. When the sampling spacing pairs bigger enough, the spectrum of BFSK signal performs like frequency hopping. With the same independent multitone interfering signal added to FH/BFSK system, the error probability becomes much lower using nested sampling and coprime sampling compared with the original FH/BFSK signal. This property has great advantage in the security of Big Data collection and transmission using FH/BFSK based on nested sampling and coprime sampling.
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