Sampling and exact reconstruction of bandlimited signals with additive shot noise

IEEE Transactions on Information Theory

Volumn 52, Issue 5, 2006, Pages 2230-2233

  Marziliano, Pina ^a,b   Vetterli, Martin ^a,c   Blu, Thierry ^a  

^a EPFL   (Switzerland)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Annihilating filters; Degrees of freedom; Dirac pulses; Nonbandlimited; Rate of innovation; Sampling; Shot noise

Indexed keywords

APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); LOW PASS FILTERS; MATHEMATICAL MODELS; SHOT NOISE; SIGNAL FILTERING AND PREDICTION; SIGNAL RECONSTRUCTION;

ADDITIVE SHOT NOISE; BANDLIMITED SIGNALS; DIRAC PULSES; EXACT RECONSTRUCTION; LOWPASS FILTERED APPROXIMATION;

INFORMATION THEORY;

EID: 33646053148     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2006.872844     Document Type: Article

References (8)

1. Modern Sampling Theory: Mathematics and Applications, J. J. Benedetto and P J. S. G. Ferreira, Eds., Birkhäuser, Boston, 2001.
2. R. E. Blahut, Theory and Practice of Error Control Codes. Reading, MA: Addison-Wesley, 1983.
3. Y. Hao, P. Marziliano, M. Vetterli, and T. Blu, "Compression of ECG as signal with finite rate of innovation," in Proc. IEEE 27th Annu. Int. Conf. Eng., Med. Biol., Shanghai, China, Sep. 2005.
4. P. Marziliano, "Sampling Innovations," Ph.D. dissertation, Swiss Federal Institute of Technology, Audiovisual Communications Laboratory, DSC, EPFL, Lausanne, Switzerland, 2001.
5. M. Unser, "Sampling-50 years after Shannon," Proc. IEEE, vol. 88, pp. 569-587, Apr. 2000.
6. M. Vetterli, P. Marziliano, and T. Blu, "Sampling discrete-time piecewise bandlimited signals," in Proc. Sampl. Theory Appl. Workshop, Orlando, FL, May 2001, pp. 97-102.
7. M. Vetterli, P. Marziliano, and T. Blu, "A sampling theorem for periodic piecewise polynomial signals," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, Salt Lake City, UT, May 2001.
8. M. Vetterli, P. Marziliano, and T. Blu, "Sampling signals with finite rate of innovation," IEEE Trans. Signal Process., pp. 1417-1428, Jun. 2002.