Reconstruction of nonuniformly sampled bandlimited signals

The invention relates to the bottom limiting resistors used for frequency signal xa (t) reconstruction method and device, the heterogeneous high-precision recorder signal comprises N sub-sequences xk (m), k=0,1,…, N-1, N≥2, which is provided with xk (m) =xa (nMT+tk sampling) to obtain of 1/(MT) sample speed, ONE of the turn, further tk=kMT/N+ Δ tk, Δ tk is not zero. The present invention includes a new sequence y (n) is the N-TYPE sub-sequence xk (m), a separating y (n) at least comprises a x (n) =xa (nt) are information, namely, xa (t) is lower than the ω 0) of the 1/T sampling speed sampling, 0 ω is a predetermined limit hole; the completes by the following steps: (i) is sampling the N sub-sequence xk (m) are one by ONE factor, k=0,1,…, N-1, which ONE is the positive integer; (II) multiple rows of sampling WHEREIN each sequence of sub-sequence xk (m) is digital filtering filter of communication, k=0,1,…, N-1; And checking door) is the N-TYPE digital filtering subsequence to form y (n). The corresponding shape filter is good for separating cover filter; and with the frequency bandTerminalω T Terminal ≥ frequency response Gk=ake the ω (0T j of ω sT), k=0,1,…, N-1, ak is a constant, and s equal to d+tk, and d is integer.