“…When these information are known, those sampling systems can first de-chirp the target signal to reduce its bandwidth (the de-chirped signal is formulated as xðtÞ ¼ zðtÞcosð2f 0 tÞ which is always a narrow band signal), then based on the carrier frequency, the de-chirped signal can be acquired at a low rate by Nyquist sampling or bandpass sampling. When the prior information is unavailable, a conventional method of acquiring the chirp signal is to use an ultra-high speed sampling system which satisfies the wellknown Nyquist sampling theorem, for example, the time-interleave analog-todigital converter (TIADC) [4,5,6]. However, the Nyquist sampling theorem is inefficient in many applications, because samples produced by an ultra-high speed sampling system are extremely redundant [7,8,9].…”