Digital spectra of nonuniformly sampled signals: a robust sampling time offset estimation algorithm for ultra high-speed waveform digitizers using interleaving

Jenq, Yih-Chyun

doi:10.1109/19.50419

Cited by 109 publications

(47 citation statements)

References 3 publications

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“…Our approach is easily adapted to arbitrary periodic waveforms by just recalculating the Fourier coefficients in (7). In contrast, the analysis in [10] is more tailored for the specific choice of sign waveforms.…”

Section: A Related Workmentioning

confidence: 99%

From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals

Mishali

Eldar

2010

IEEE J. Sel. Top. Signal Process.

1,044

919

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Abstract-Conventional sub-Nyquist sampling methods for analog signals exploit prior information about the spectral support. In this paper, we consider the challenging problem of blind sub-Nyquist sampling of multiband signals, whose unknown frequency support occupies only a small portion of a wide spectrum. Our primary design goals are efficient hardware implementation and low computational load on the supporting digital processing. We propose a system, named the modulated wideband converter, which first multiplies the analog signal by a bank of periodic waveforms. The product is then low-pass filtered and sampled uniformly at a low rate, which is orders of magnitude smaller than Nyquist. Perfect recovery from the proposed samples is achieved under certain necessary and sufficient conditions. We also develop a digital architecture, which allows either reconstruction of the analog input, or processing of any band of interest at a low rate, that is, without interpolating to the high Nyquist rate. Numerical simulations demonstrate many engineering aspects: robustness to noise and mismodeling, potential hardware simplifications, real-time performance for signals with time-varying support and stability to quantization effects. We compare our system with two previous approaches: periodic nonuniform sampling, which is bandwidth limited by existing hardware devices, and the random demodulator, which is restricted to discrete multitone signals and has a high computational load. In the broader context of Nyquist sampling, our scheme has the potential to break through the bandwidth barrier of state-of-the-art analog conversion technologies such as interleaved converters.

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Section: A Related Workmentioning

confidence: 99%

From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals

Mishali

Eldar

2010

IEEE J. Sel. Top. Signal Process.

1,044

919

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“…To achieve high enough sample rates, an array of M A/D converters, interleaved in time, can be used. Each ADC should work at 1/M th of the desired sample rate [1], see Figure 1. Three kinds of mismatch errors are introduced by the interleaved structure:…”

Section: Introductionmentioning

confidence: 99%

Amplitude and gain error influence on time error estimation algorithm for time interleaved A/D converter system

Elbornsson¹,

Gustafsson²,

Eklund³

2002

IEEE International Conference on Acoustics Speech and Signal Processing

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A method for blind estimation of static time errors in time interleaved A/D converters is investigated. The method assumes that amplitude and gain errors are removed before the time error estimation. Even if the amplitude and gain errors are estimated and removed, there will be small errors left. In this paper, we investigate how the amplitude and gain errors influence the time error estimation performance.

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“…However, the sample rates of the analog-to-digital converters (ADCs) often limit the digital signal processing (DSP) systems operating on analog inputs. Time-interleaved ADC architecture with more than one ADC is a well-known technique that can be used to increase the maximum sample rate [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In such architecture, a fast ADC is obtained by combining slower ADCs operating in parallel.…”

Section: Introductionmentioning

confidence: 99%

Estimation and Correction of Gain Mismatch and Timing Error in Time-Interleaved ADCs Based on DFT

Tian¹,

Wang²

2014

Metrology and Measurement Systems

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Time-interleaved analog-to-digital converter (ADC) architecture is crucial to increase the maximum sample rate. However, offset mismatch, gain mismatch, and timing error between time-interleaved channels degrade the performance of time-interleaved ADCs. This paper focuses on the gain mismatch and timing error. Techniques based on Discrete Fourier Transform (DFT) for estimating and correcting gain mismatch and timing error in an M-channel ADC are depicted. Numerical simulations are used to verify the proposed estimation and correction algorithm.

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Digital spectra of nonuniformly sampled signals: a robust sampling time offset estimation algorithm for ultra high-speed waveform digitizers using interleaving

Cited by 109 publications

References 3 publications

From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals

From Theory to Practice: Sub-Nyquist Sampling of Sparse Wideband Analog Signals

Amplitude and gain error influence on time error estimation algorithm for time interleaved A/D converter system

Estimation and Correction of Gain Mismatch and Timing Error in Time-Interleaved ADCs Based on DFT

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