28 December 1999 Determination time shifts and periods of short series with the use of differential representation
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Proceedings Volume 3870, Sensors, Systems, and Next-Generation Satellites III; (1999); doi: 10.1117/12.373180
Event: Remote Sensing, 1999, Florence, Italy
Abstract
In this paper the use of signal representation in signum delta modulation format (SignDM) has been proposed in order to increase the efficiency of the correlation analysis (CA) in real time of short highly noised time series and 2-D data. The SignDM codes are specified by comparing the values of differences between signal samples in PCM formats with a differential zone which is defined a'priori. These codes belong to the set {-1, 0, 1}. In this paper mathematical operations on such codes have been studied. SignDM's sampling rate equals Nyquist's frequency. The following approaches ares suggested to be applied when conducting determination with the help of CA: (1) the frequency of short highly disturbed periodic signals will be specified on the basis of a maximum of the proper power spectrum from their autocorrelation function in the format of SignDM; (2) time shifts between two short and highly noised signals of the same frequency will be defined by the cross- correlation function in SignDM format. Using Wiener & Hinczyn's transform of autocorrelation function increases the effectiveness of the correlation analysis for measuring and processing highly noised periodic signals. In this paper there have been presented the algorithms for the operation of specialized processors used for the correlation analysis of signals in SignDM format, as well as the results of computer simulation for time series N less than or equal to 30, and SNR up to -14dB at the chosen differential zone. These algorithms are regular and economical and especially applicable in on-board data processing for space experiments.
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Wlodzimierz Pogribny, Igor Rozhankivsky, Zdzislav Drzycimski, Andrzej Milewski, "Determination time shifts and periods of short series with the use of differential representation", Proc. SPIE 3870, Sensors, Systems, and Next-Generation Satellites III, (28 December 1999); doi: 10.1117/12.373180; https://doi.org/10.1117/12.373180
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KEYWORDS
Signal processing

Correlation function

Signal to noise ratio

Interference (communication)

Radon

Computer simulations

Modulation

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