Reconstruction of nonuniformly sampled bandlimited signals by means of time-varying discrete-time FIR filters
Håkan Johansson,Per Löwenborg +1 more
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This paper deals with reconstruction of nonuniformly sampled bandlimited continuous-time signals using time-varying discrete-time finite-length impulse response (FIR) filters and shows how a slight oversampling should be utilized for designing the reconstruction filters in a proper manner.Abstract:
This paper deals with reconstruction of nonuniformly sampled bandlimited continuous-time signals using time-varying discrete-time finite-length impulse response (FIR) filters. The main theme of the paper is to show how a slight oversampling should be utilized for designing the reconstruction filters in a proper manner. Based on a time-frequency function, it is shown that the reconstruction problem can be posed as one that resembles an ordinary filter design problem, both for deterministic signals and random processes. From this facts, an analytic least-square design technique is then derived. Furthermore, for an important special case, corresponding to periodic nonuniform sampling, it is shown that the reconstruction problem alternatively can be posed as a filter bank design problem, thus with requirements on a distortion transfer function and a number of aliasing transfer functions. This eases the design and offers alternative practical design methods as discussed in the paper. Several design examples are included that illustrate the benefits of the proposed design techniques over previously existing techniques.read more
Citations
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Journal ArticleDOI
Blind Calibration of Timing Offsets for Four-Channel Time-Interleaved ADCs
S. Huang,Bernard C. Levy +1 more
TL;DR: A blind calibration method for timing mismatches in a four-channel time-interleaved analog-to-digital converter (ADC) and an adaptive null steering algorithm for estimating the ADC timing offsets is described.
Proceedings ArticleDOI
Time-interleaved analog-to-digital converters: status and future directions
Christian Vogel,Håkan Johansson +1 more
TL;DR: The principle possibilities of calibrating TI-ADCs are reviewed, where the necessities and advantages of digital enhancement are pointed out and open issues of channel mismatch identification as well as channel mismatch correction are discussed.
Journal ArticleDOI
Reconstruction of Nonuniformly Sampled Bandlimited Signals Using a Differentiator–Multiplier Cascade
Stefan Tertinek,Christian Vogel +1 more
TL;DR: The differentiator-multiplier cascade, a multistage reconstruction system that recovers the uniform samples from the nonuniform samples that reduces implementation costs substantially, especially in an application like time-interleaved analog-to-digital converters (TI-ADCs) where the timing mismatches among the ADCs may change during operation.
Journal ArticleDOI
Adaptive Blind Background Calibration of Polynomial-Represented Frequency Response Mismatches in a Two-Channel Time-Interleaved ADC
Shahzad Saleem,Christian Vogel +1 more
TL;DR: An adaptive calibration structure for the blind calibration of frequency response mismatches in a two-channel time-interleaved analog-to-digital converter (TI-ADC) is introduced and the efficiency of the calibration structure is shown by simulations.
Journal ArticleDOI
A Flexible and Scalable Structure to Compensate Frequency Response Mismatches in Time-Interleaved ADCs
Christian Vogel,S. Mendel +1 more
TL;DR: The compensation structure may be used to compensate time-varying frequency response mismatches in TI-ADCs, as well as to reconstruct uniform samples from nonuniformly sampled signals.
References
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Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
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Multirate Systems and Filter Banks
TL;DR: In this paper, a review of Discrete-Time Multi-Input Multi-Output (DIMO) and Linear Phase Perfect Reconstruction (QLP) QMF banks is presented.
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Multirate Systems and Filter Banks
Tapio Saramaki,Robert Bregovic +1 more
TL;DR: In this article, the basic operations of these filter banks are considered and the requirements are stated for alias-free, perfect-reconstruction (PR), and nearly perfect reconstruction (NPR) filter banks.
Journal ArticleDOI
The Shannon sampling theorem—Its various extensions and applications: A tutorial review
TL;DR: In this paper, the authors present the various contributions made for the sampling theorems with the necessary mathematical details to make it self-contained, including sampling for functions of more than one variable, random processes, nonuniform sampling, nonband-limited functions, implicit sampling, sampling with the function and its derivatives as suggested by Shannon in his original paper, and sampling for general integral transforms.
Journal ArticleDOI
Splitting the unit delay [FIR/all pass filters design]
TL;DR: This work presents a comprehensive review of FIR and allpass filter design techniques for bandlimited approximation of a fractional digital delay, focusing on simple and efficient methods that are well suited for fast coefficient update or continuous control of the delay value.