# SIGNAL-DEPENDENT ANALYSIS OF SIGNALS SAMPLED BY SEND ON DELTA SAMPLING SCHEME

### M. Greitans, R. Shavelis

#### 2008

#### Abstract

Interest in the application of signal driven sampling schemes is increasing as they offer various advantages over traditional sampling. The paper describes the principles and discusses the properties of sampling, which is based on the send-on-delta concept. In such a way, it is possible to decrease the sampling density, and since the samples are placed non-equidistantly it is possible to suppress the distortion due to frequency aliasing. The non-uniform location of samples requires an advanced processing method. The paper discusses the spectral estimation, which is based on the use of a bank of minimum variance filters. To improve the resolution and accuracy, iterative updating of autocorrelation matrix is used. The results of simulations are presented. The use of an iterative algorithm allows correcting spectral estimation even if the mean sampling density is several times less than the Nyquist criterion. The proposed approach can be of interest for distributed wireless data acquisition in remote sensing systems, because it allows the amount of transmitted data to be decreased considerably.

#### References

- Allier, E. and Sicard, G. (2003). A new class of asynchronous a/d converters based on time quantization. In ASYNC'03, Proc. of International Symposium on Asynchronous Circuits and Systems.
- Greitans, M. (1997). Iterative reconstruction of lost samples using updating of autocorrelation matrix. In SampTA'97, Proc. of the International Workshop on Sampling Theory and Applications.
- Greitans, M. (2005). Spectral analysis based on signal dependent transformation. In SMMSP'05, Proc. of the 2005 International TICSP Workshop on Spectral Methods and Multirate Signal Processing.
- Greitans, M. (2006). Processing of non-stationary signal using level-crossing sampling. In SIGMAP'06, Proc. of the International Conference on Signal Processing and Multimedia Applications.
- Hauck, S. (1995). Asynchronous design methodologies: An overview. In Proceedings of the IEEE.
- Li, H. and Stoica, P. (1998). Capon estimation of covariance sequences. Circuits, Systems, and Signal Processing, 17(1):29-49.
- Liepinsh, V. (1996). An algorithm for estimation of discrete fourier transform from sparse data. Automatic control and computer sciences, 29(3):27-41.
- Mark, J. W. and Todd, T. D. (1981). A nonuniform sampling approach to data compression. IEEE Transactions on Communications, 29(1):24-32.
- Marple, S. M. (1987). Digital spectral analysis with applications. Prentice Hall.
- Masry, E. (1978). Alias-free sampling: An alternative conceptualization and its applications. IEEE Transactions on Information Theory, 24(3):317-324.
- McDonough, R. N. (1983). Application of the maximumlikelihood method and the maximum-entropy method to array processing. In Nonlinear Methods of Spectral Analysis.
- Miskowicz, M. (2006). Send-on-delta concept: An eventbased data reporting strategy. Sensors, 6(1):49-63.

#### Paper Citation

#### in Harvard Style

Greitans M. and Shavelis R. (2008). **SIGNAL-DEPENDENT ANALYSIS OF SIGNALS SAMPLED BY SEND ON DELTA SAMPLING SCHEME** . In *Proceedings of the International Conference on Signal Processing and Multimedia Applications - Volume 1: SIGMAP, (ICETE 2008)* ISBN 978-989-8111-60-9, pages 125-130. DOI: 10.5220/0001937201250130

#### in Bibtex Style

@conference{sigmap08,

author={M. Greitans and R. Shavelis},

title={SIGNAL-DEPENDENT ANALYSIS OF SIGNALS SAMPLED BY SEND ON DELTA SAMPLING SCHEME},

booktitle={Proceedings of the International Conference on Signal Processing and Multimedia Applications - Volume 1: SIGMAP, (ICETE 2008)},

year={2008},

pages={125-130},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001937201250130},

isbn={978-989-8111-60-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Signal Processing and Multimedia Applications - Volume 1: SIGMAP, (ICETE 2008)

TI - SIGNAL-DEPENDENT ANALYSIS OF SIGNALS SAMPLED BY SEND ON DELTA SAMPLING SCHEME

SN - 978-989-8111-60-9

AU - Greitans M.

AU - Shavelis R.

PY - 2008

SP - 125

EP - 130

DO - 10.5220/0001937201250130