Xampling: analog to digital at sub-Nyquist rates

Xampling: analog to digital at sub-Nyquist rates

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The authors present a sub-Nyquist analog-to-digital converter of wideband inputs. The circuit realises the recently proposed modulated wideband converter, which is a flexible platform for sampling signals according to their actual bandwidth occupation. The theoretical work enables, for example, a sub-Nyquist wideband communication receiver, which has no prior information on the transmitter carrier positions. The present design supports input signals with 2 GHz Nyquist rate and 120 MHz spectrum occupancy, with arbitrary transmission frequencies. The sampling rate is as low as 280 MHz. To the best of the authors' knowledge, this is the first reported hardware that performs sub-Nyquist sampling and reconstruction of wideband signals. The authors describe the various circuit design considerations, with an emphasis on the non-ordinary challenges the converter introduces: mixing a signal with a multiple set of sinusoids, rather than a single local oscillator, and generation of highly transient periodic waveforms, with transient intervals on the order of the Nyquist rate. Hardware experiments validate the design and demonstrate sub-Nyquist sampling and signal reconstruction.


    1. 1)
    2. 2)
    3. 3)
    4. 4)
      • Tian, Y., Zeng, D., Zeng, T.: `Design and implementation of multifrequency front end using bandpass over sampling', IET Int. Radar Conf., 2009, April 2009, p. 1–4.
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
      • Mishali, M., Eldar, Y.C., Elron, A.: `Xampling: signal acquisition and processing in union of subspaces', CCIT report no. 747, EE Dept., Technion; [Online] 0911.0519, October 2009.
    11. 11)
      • Ragheb, T., Laska, J.N., Nejati, H., Kirolos, S., Baraniuk, R.G., Massoud, Y.: `A prototype hardware for random demodulation based compressive analog-to-digital conversion', 51stMidwest Symp. on Circuits and Systems, 2008, MWSCAS 2008, 2008, p. 37–40.
    12. 12)
    13. 13)
      • Fudge, G.L., Bland, R.E., Chivers, M.A., Ravindran, S., Haupt, J., Pace, P.E.: `A Nyquist folding analog-to-information receiver', Proc. 42nd Asilomar Conf. on Signals, Systems and Computers, October 2008, p. 541–545.
    14. 14)
    15. 15)
    16. 16)
      • Mishali, M., Eldar, Y.C.: `Expected-RIP: conditioning of the modulated wideband converter', IEEE Information Theory Workshop, 2009, ITW 2009, October 2009, p. 343–347.
    17. 17)
      • Chen, Y., Mishali, M., Eldar, Y.C., Hero, A.O.: `Modulated wideband converter with non-ideal lowpass filters', ICASSP 2010, 2010, p. 3630–3633.
    18. 18)
      • Analog Devices Corp.: ‘A/D converters’,, accessed 2009.
    19. 19)
      • Texas Instruments Corp.: ‘Data converters’,, accessed 2009.
    20. 20)
    21. 21)
      • RF cafe website: ‘Cascaded 2-tone, 3rd-order compression point (IP3)’,
    22. 22)
      • N.B. Carvalho , J.C. Pedro . Compact formulas to relate ACPR and NPR to two-tone IMR and IP3. Microw. J. , 12 , 70 - 84
    23. 23)
      • Mishali, M., Eldar, Y.C., Dounaevsky, O., Shoshan, E.: `Xampling: analog to digital at sub-Nyquist rates', CCIT report no. 751, EE Dept., Technion; [Online] 0912.2495, December 2009.
    24. 24)
    25. 25)
    26. 26)
    27. 27)
      • M.E. Davies , Y.C. Eldar . Rank awareness in joint sparse recovery. IEEE Trans. Inf. Theory
    28. 28)
    29. 29)
    30. 30)
    31. 31)

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