RLS design of polyphase components for the interpolation of periodically nonuniformly sampled signals
(1995) 1995 International Conference on Acoustics, Speech, and Signal Processing — Location: Detroit, MI, USA (9.May.1995)
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- Abstract
- The generalized sampling theorem states that any analogue signal whose spectrum is limited to 1/T can be exactly recovered from N sequences of samples taken at a rate 2/NT and all having a different sampling phase. When N=2, the exact interpolation formula can be derived quite easily. The ideal interpolation filters have infinite impulse responses. This paper addresses the theoretical question of recovering from the 2 initial sequences, any other sequence taken at the some rate 1/T and with a different sampling phase. FIR filters are derived for a least square interpolation error. Moreover, an adaptive implementation is proposed and formulated as a Kalman algorithm. Simulation results obtained for AR processes show the effectiveness of the solution compared to static solutions.
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Vandendorpe, L., Maison, B., & Cuvelier, L. (1995). RLS design of polyphase components for the interpolation of periodically nonuniformly sampled signals. 1995 International Conference on Acoustics, Speech, and SignalProcessing. Conference Proceedings (Cat. No.95CH35732), Vol. 2, p. 1229-1232. https://doi.org/10.1109/ICASSP.1995.480460