Frequency estimation in the presence of Doppler spread: performance analysis

M. Ghogho, A. Swami, T.S. Durrani

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

We are concerned with the estimation of the frequency of a complex sinusoid that has been corrupted by complex-valued multiplicative and additive noise. This problem is important in many applications including array processing in the case of spatially distributed sources and synchronization in the context of time-selective channels. The multiplicative noise smears the spectral line due to the sinusoid. This smearing, which is often called Doppler spreading, may significantly degrade the estimation accuracy. The goal of this paper is to analytically assess this degradation. The finite-sample Cramer-Rao bounds (CRBs) are derived, and closed-form expressions are given for the large-sample CRB. The latter gives insights into the effective coherent and noncoherent SNRs for frequency estimation. We then analyze the accuracy of frequency estimators that are based on the angles of the sample covariances. Simulations results are presented to illustrate the theoretical results.
LanguageEnglish
Pages777-789
Number of pages12
JournalIEEE Transactions on Signal Processing
Volume49
Issue number4
DOIs
Publication statusPublished - 2001

Fingerprint

Cramer-Rao bounds
Frequency estimation
Array processing
Additive noise
Synchronization
Degradation

Keywords

  • Doppler effect
  • array signal processing
  • covariance analysis mobile radio
  • signal sampling
  • synchronisation
  • white noise

Cite this

@article{b1e46b1ae59b42cd8bff16d76c3a530f,
title = "Frequency estimation in the presence of Doppler spread: performance analysis",
abstract = "We are concerned with the estimation of the frequency of a complex sinusoid that has been corrupted by complex-valued multiplicative and additive noise. This problem is important in many applications including array processing in the case of spatially distributed sources and synchronization in the context of time-selective channels. The multiplicative noise smears the spectral line due to the sinusoid. This smearing, which is often called Doppler spreading, may significantly degrade the estimation accuracy. The goal of this paper is to analytically assess this degradation. The finite-sample Cramer-Rao bounds (CRBs) are derived, and closed-form expressions are given for the large-sample CRB. The latter gives insights into the effective coherent and noncoherent SNRs for frequency estimation. We then analyze the accuracy of frequency estimators that are based on the angles of the sample covariances. Simulations results are presented to illustrate the theoretical results.",
keywords = "Doppler effect, array signal processing, covariance analysis mobile radio, signal sampling, synchronisation, white noise",
author = "M. Ghogho and A. Swami and T.S. Durrani",
year = "2001",
doi = "10.1109/78.912922",
language = "English",
volume = "49",
pages = "777--789",
journal = "IEEE Transactions on Signal Processing",
issn = "1053-587X",
number = "4",

}

Frequency estimation in the presence of Doppler spread: performance analysis. / Ghogho, M.; Swami, A.; Durrani, T.S.

In: IEEE Transactions on Signal Processing, Vol. 49, No. 4, 2001, p. 777-789.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Frequency estimation in the presence of Doppler spread: performance analysis

AU - Ghogho, M.

AU - Swami, A.

AU - Durrani, T.S.

PY - 2001

Y1 - 2001

N2 - We are concerned with the estimation of the frequency of a complex sinusoid that has been corrupted by complex-valued multiplicative and additive noise. This problem is important in many applications including array processing in the case of spatially distributed sources and synchronization in the context of time-selective channels. The multiplicative noise smears the spectral line due to the sinusoid. This smearing, which is often called Doppler spreading, may significantly degrade the estimation accuracy. The goal of this paper is to analytically assess this degradation. The finite-sample Cramer-Rao bounds (CRBs) are derived, and closed-form expressions are given for the large-sample CRB. The latter gives insights into the effective coherent and noncoherent SNRs for frequency estimation. We then analyze the accuracy of frequency estimators that are based on the angles of the sample covariances. Simulations results are presented to illustrate the theoretical results.

AB - We are concerned with the estimation of the frequency of a complex sinusoid that has been corrupted by complex-valued multiplicative and additive noise. This problem is important in many applications including array processing in the case of spatially distributed sources and synchronization in the context of time-selective channels. The multiplicative noise smears the spectral line due to the sinusoid. This smearing, which is often called Doppler spreading, may significantly degrade the estimation accuracy. The goal of this paper is to analytically assess this degradation. The finite-sample Cramer-Rao bounds (CRBs) are derived, and closed-form expressions are given for the large-sample CRB. The latter gives insights into the effective coherent and noncoherent SNRs for frequency estimation. We then analyze the accuracy of frequency estimators that are based on the angles of the sample covariances. Simulations results are presented to illustrate the theoretical results.

KW - Doppler effect

KW - array signal processing

KW - covariance analysis mobile radio

KW - signal sampling

KW - synchronisation

KW - white noise

UR - http://dx.doi.org/10.1109/78.912922

U2 - 10.1109/78.912922

DO - 10.1109/78.912922

M3 - Article

VL - 49

SP - 777

EP - 789

JO - IEEE Transactions on Signal Processing

T2 - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 4

ER -