Time delay estimation using fractional Fourier transform

Authors:
Kamalesh Kumar Sharma;Shiv Dutt Joshi
Affiliations:
Department of Electronics and Communication Engineering, Malaviya National Institute of Technology, Jaipur, India;Department of Electrical Engineering, Indian Institute of Technology, New Delhi, India
Venue:
Signal Processing
Year:
2007

Citing 5
Cited 4

Sampling and series expansion theorems for fractional Fourier and other transforms

Signal Processing - Special issue: Fractional signal processing and applications
Optimal filtering in fractional Fourier domains

IEEE Transactions on Signal Processing
Fractional Fourier series expansion for finite signals and dualextension to discrete-time fractional Fourier transform

IEEE Transactions on Signal Processing
The fractional Fourier transform and time-frequency representations

IEEE Transactions on Signal Processing
Digital computation of the fractional Fourier transform

IEEE Transactions on Signal Processing

Time-delay estimation of chirp signals in the fractional Fourier domain

IEEE Transactions on Signal Processing
The discrete fractional Fourier transform based on the DFT matrix

Signal Processing
A New Formulation of the Fast Fractional Fourier Transform

SIAM Journal on Scientific Computing
Subsample time delay estimation of chirp signals using FrFT

Signal Processing

Quantified Score

Hi-index	0.08

Visualization

Abstract

The need for time delay estimation (TDE) between two signals arises quite often in many areas such as radar, sonar, etc. Several TDE techniques have been proposed in the literature using various signal transforms such as the conventional Fourier transform and the Hilbert transform. In this paper, use of the fractional Fourier transform (FRFT) for TDE is proposed. Some of the proposed estimators use the magnitude of the FRFT of the signals, whereas others depend on the phase angle of it. The problem of TDE in the statistical framework is also generalized using the FRFT and the maximum likelihood (ML) estimator for the time delay is obtained. To validate the proposed approach, simulation results for some of the proposed estimators are presented.