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A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples

A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples,10.1007/s11265-010-0481-x,Journal of Signa

A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples   (Citations: 3)
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In this paper, we study a versatile iterative framework for the reconstruction of uniform samples from nonuniform samples of bandlimited signals. Assuming the input signal is slightly oversampled, we first show that its uniform and nonuniform samples in the frequency band of interest can be expressed as a system of linear equations using fractional delay digital filters. Then we develop an iterative framework, which enables the development and convergence analysis of efficient iterative reconstruction algorithms. In particular, we study the Richardson iteration in detail to illustrate how the reconstruction problem can be solved iteratively, and show that the iterative method can be efficiently implemented using Farrow-based variable digital filters with few general-purpose multipliers. Under the proposed framework, we also present a completed and systematic convergence analysis to determine the convergence conditions. Simulation results show that the iterative method converges more rapidly and closer to the true solution (i.e. the uniform samples) than conventional iterative methods using truncation of sinc series.
Journal: Journal of Signal Processing Systems - JSPS , vol. 62, no. 3, pp. 459-468, 2011
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    • ...This can be viewed as an extension of the approach [19] for timing mismatch problem to the more complicated situation of frequency response mismatches...
    • ...It should be noted that the proposed iterative framework extends significantly our previous work in [19], which solves the timing mismatch problem using the RI instead of the GSI...
    • ...Apart from these important contributions, other issues such as the improved implementation structure and its extension to the case of multiple mismatches were also not considered in our previous work in [19]...
    • ...Fig. 8. Performances of the GSI and RI (i.e., conventional structure in [19]) for a band-limited white noise sequence...

    K. M. Tsuiet al. New Iterative Framework for Frequency Response Mismatch Correction in ...

    • ...Postcorrection structures mitigating the impact of an undesired system were presented in [5]-[8], where the error introduced by the undesired system is gradually compensated...

    Michael Soudan. On the Correction of Linear Time-varying Systems by Means of Time-vary...

    • ...to mitigate the effects of nonuniform sampling [12]‐[15]...
    • ...Various methods have been proposed to reconstruct the uniform from the nonuniform samples [12]‐[15]...

    Michael Soudan. Low Complexity Least-Squares Filter Design for the Correction of Linea...

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