Frequency acquisition performance of discrete wavelet transform AFC

The paper proposes a novel automatic frequency control (AFC) method using the discrete wavelet transform (DWT) for low earth orbit satellite, mobile and personal communications systems. The DWT is a useful analysis tool for non-stationary signals which uses short windows at high frequencies and long windows at low frequencies. The DWT AFC has its own simple structure and an intelligent characteristic of "observation and control according to frequency error", which makes it possible to achieve both fast initial acquisition and accurate tracking. Furthermore, it can make the irreducible frequency error arbitrarily small.