Performances of a non data aided estimator of the modulation index of continuous phase modulations

P. Bianchi; P. Loubaton; F. Sirven

doi:10.1109/ICASSP.2002.5745124

Performances of a non data aided estimator of the modulation index of continuous phase modulations

P. Bianchi, P. Loubaton, F. Sirven

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, a new non data aided estimator of the modulation index of a CPM signal is proposed. It is based on the observation that the inverse of the index is the smallest positive real number to which the CPM signal should be expanded in order to generate a sinusoid of frequency 1/2T. The asymptotic behavior of the estimate is studied. If N is the sample size, the estimate is shown to converge to a non Gaussian distribution at rate 1/N. Simulations results sustain our theoretical claims.

Original language	English
Pages (from-to)	2377-2380
Number of pages	4
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.2002.5745124
Publication status	Published - 1 Jan 2002
Externally published	Yes

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title = "Performances of a non data aided estimator of the modulation index of continuous phase modulations",

abstract = "In this paper, a new non data aided estimator of the modulation index of a CPM signal is proposed. It is based on the observation that the inverse of the index is the smallest positive real number to which the CPM signal should be expanded in order to generate a sinusoid of frequency 1/2T. The asymptotic behavior of the estimate is studied. If N is the sample size, the estimate is shown to converge to a non Gaussian distribution at rate 1/N. Simulations results sustain our theoretical claims.",

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AU - Bianchi, P.

AU - Loubaton, P.

AU - Sirven, F.

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N2 - In this paper, a new non data aided estimator of the modulation index of a CPM signal is proposed. It is based on the observation that the inverse of the index is the smallest positive real number to which the CPM signal should be expanded in order to generate a sinusoid of frequency 1/2T. The asymptotic behavior of the estimate is studied. If N is the sample size, the estimate is shown to converge to a non Gaussian distribution at rate 1/N. Simulations results sustain our theoretical claims.

AB - In this paper, a new non data aided estimator of the modulation index of a CPM signal is proposed. It is based on the observation that the inverse of the index is the smallest positive real number to which the CPM signal should be expanded in order to generate a sinusoid of frequency 1/2T. The asymptotic behavior of the estimate is studied. If N is the sample size, the estimate is shown to converge to a non Gaussian distribution at rate 1/N. Simulations results sustain our theoretical claims.

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DO - 10.1109/ICASSP.2002.5745124

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SN - 1520-6149

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

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

ER -

Performances of a non data aided estimator of the modulation index of continuous phase modulations

Abstract

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