TY - GEN

T1 - MMSE and ML estimation of chaotic sequences with coded signs with applications in coding discrete-time analog signals

AU - Rosenhouse, Isaac

AU - Weiss, Anthony J.

PY - 2008

Y1 - 2008

N2 - We consider estimation of a set of tent-map chaotic sequences. These sequences are obtained by iterating a one dimensional chaotic function in the (-1,1) domain. We demonstrate how to construct a set of n sequences, in which information in the form of n arbitrary samples in the (-1,1) domain is embedded. Additionally the signs of all sequences jointly form a valid digital codeword. Each sequence in the set consists of m elements, hence the set of sequences is equivalent to a rate 1/m analog error correcting-code. We present performance in terms of coding gain when maximum likelihood (ML) and minimum-mean-square-error (MMSE) estimation approaches are employed.

AB - We consider estimation of a set of tent-map chaotic sequences. These sequences are obtained by iterating a one dimensional chaotic function in the (-1,1) domain. We demonstrate how to construct a set of n sequences, in which information in the form of n arbitrary samples in the (-1,1) domain is embedded. Additionally the signs of all sequences jointly form a valid digital codeword. Each sequence in the set consists of m elements, hence the set of sequences is equivalent to a rate 1/m analog error correcting-code. We present performance in terms of coding gain when maximum likelihood (ML) and minimum-mean-square-error (MMSE) estimation approaches are employed.

KW - Chaos

KW - Communication system signaling

KW - Error correction coding

KW - Estimation

UR - http://www.scopus.com/inward/record.url?scp=51449111776&partnerID=8YFLogxK

U2 - 10.1109/ICASSP.2008.4518276

DO - 10.1109/ICASSP.2008.4518276

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AN - SCOPUS:51449111776

SN - 1424414849

SN - 9781424414840

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

SP - 2981

EP - 2984

BT - 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP

T2 - 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP

Y2 - 31 March 2008 through 4 April 2008

ER -