Denoising short, non-uniformly spaced, bandlmited sequences
Not a lot of references that include nonuniform, band limited, and filtering  

D. Bonacci and B. Lacaze, "Lowpass/bandpass signal reconstruction and digital filtering from nonuniform samples," 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), South Brisbane, QLD, 2015, pp. 3626-3630.
doi: 10.1109/ICASSP.2015.7178647
Abstract: This paper considers the problem of non uniform sampling in the case of finite energy functions and random processes, not necessarily approaching to zero as time goes to infinity. The proposed method allows to perform exact signal reconstruction, spectral estimation or linear filtering directly from the non-uniform samples. The method can be applied to either lowpass, or bandpass signals.
keywords: {band-pass filters;digital filters;linear phase filters;low-pass filters;random processes;signal reconstruction;signal sampling;band-pass signal reconstruction;digital filter;finite energy function;linear filter;low-pass signal reconstruction;nonuniform sampling problem;random process;spectral estimation;Baseband;Estimation;Fourier series;Interpolation;Nonuniform sampling;Random processes;Time-frequency analysis;Nonuniform filtering;Periodic nonuniform sampling;Sampling theory;Signal reconstruction;Spectral estimation},
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&amp;arnumber=7178647&amp;isnumber=7177909

H. Johansson and P. Lowenborg, "Reconstruction of nonuniform sampled bandlimited signals using digital fractional filters," ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), Sydney, NSW, 2001, pp. 593-596 vol. 2.
doi: 10.1109/ISCAS.2001.921140
Abstract: This paper considers the problem of reconstructing nonuniformly sampled bandlimited signals using a synthesis system composed of digital fractional delay filters. The overall system can be viewed as a generalization of time-interleaved ADC systems. By generalizing these systems, it is possible to eliminate the errors that are introduced in practice due to time-skew errors
keywords: {analogue-digital conversion;bandlimited signals;digital filters;filtering theory;signal reconstruction;digital fractional filters;nonuniform sampled bandlimited signals;signal reconstruction;synthesis system;time-interleaved ADC systems;time-skew errors;Analog-digital conversion;Delay;Digital filters;Electronic mail;Filter bank;Frequency;Interleaved codes;Nonuniform sampling;Sampling methods;Signal synthesis},
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&amp;arnumber=921140&amp;isnumber=19923

Y. C. Eldar and A. V. Oppenheim, "Filter bank interpolation and reconstruction from generalized and recurrent nonuniform samples," 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), Istanbul, 2000, pp. 324-327 vol.1.
doi: 10.1109/ICASSP.2000.861961
Abstract: This paper introduces a filter bank interpretation of various sampling strategies, which leads to efficient interpolation and reconstruction methods. An identity, referred to as the interpolation identity, is used to obtain particularly efficient discrete-time systems for interpolation to uniform Nyquist samples, either for further processing in that form or for conversion to continuous-time. The interpolation identity also leads to a new class of sampling theorems including an extension of Papoulis' (1997) generalized sampling expansion
keywords: {channel bank filters;discrete time filters;filtering theory;interpolation;signal reconstruction;signal sampling;discrete-time systems;filter bank interpolation;generalized sampling expansion;interpolation identity;recurrent nonuniform samples;sampling theorems;signal reconstruction;uniform Nyquist samples;Data acquisition;Digital signal processing;Filter bank;Fourier transforms;Interpolation;Iterative algorithms;Laboratories;Sampling methods;Signal processing;Signal sampling},
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&amp;arnumber=861961&amp;isnumber=18684