Estimation Of Signal Parameters Via Rotational Invariance Techniques- Esprit

1985 ◽  
Author(s):  
A. Paulraj ◽  
R. Roy ◽  
T. Kailath
Keyword(s):  
Rotational Invariance ◽  
Signal Parameters

scholarly journals Direction-of-Arrival Estimation for 2D Coherently Distributed Sources with Nested Array Based on Matrix Reconstruction

2020 ◽  
Vol 2020 ◽  
pp. 1-13 ◽  
Author(s):  
Yu Xiao ◽  
Tao Wu ◽  
Yiwen Li ◽  
Xinping Ma ◽  
Yijie Huang
Keyword(s):  
Cross Correlation ◽  
Direction Of Arrival ◽  
Estimation Algorithm ◽  
Rotational Invariance ◽  
Correlation Matrices ◽  
Linear Arrays ◽  
Signal Parameters ◽  
Matrix Reconstruction ◽  
Pair Matching ◽  
The Difference

This paper has made proposition of a nested array and an estimation algorithm for direction-of-arrival (DOA) of two-dimensional (2D) coherently distributed (CD) sources. According to the difference coarray concept, double parallel hole-free virtual uniform linear arrays are generated by virtue of vectorization operation on cross-correlation matrices of subarrays. Sensor coordinates of virtual arrays are derived. Rational invariance relationships of virtual arrays are derived. According to the rotational invariance relationships, matrices satisfying rotation invariance are constructed by extracting and regrouping the receive vectors of the virtual arrays, and then an estimation of signal parameters via rotational invariance techniques- (ESPRIT-) like framework on matrix reconstruction is deduced. Optimal configuration of the nested array as well as computational complexity are analyzed. Without pair matching, the proposed method can resolve more sources than the sensor number. Simulation outcomes indicate that the proposed method tends to have a better performance as compared to the traditional uniform arrays that have similar number of sensors.

Harmonic source identification in distribution system using estimation of signal parameters via rotational invariance technique-total harmonic power method

2017 ◽  
Vol 40 (12) ◽  
pp. 3415-3423 ◽  
Author(s):  
Preeti Jain ◽  
Atul Kumar Tiwari ◽  
Sachin Kumar Jain
Keyword(s):  
Fourier Transform ◽  
Electricity Market ◽  
Distribution System ◽  
Source Identification ◽  
Harmonic Distortion ◽  
Rotational Invariance ◽  
Major Power ◽  
Signal Parameters ◽  
Harmonic Source ◽  
Harmonic Power

With proliferation of power electronics devices in the distribution system, harmonic distortion has become one of the major power quality (PQ) problems. In evolving the liberalized electricity market, it becomes necessary to develop suitable methods to allocate the responsibilities for the harmonic distortion to improve the PQ. This paper presents a new technique for harmonic source identification, which is based on total harmonic power (THP) method using estimation of signal parameters via rotational invariance technique (ESPRIT). Traditionally, harmonic powers for THP method is computed using Fourier transform, which inherits serious drawbacks of the discrete and fast Fourier transform, namely, inaccuracy owing to poor spectral resolution, spectral leakage, and so forth. Simulation results have been presented for different distribution system configurations and conditions, which confirms the improved capabilities of the proposed method in harmonic source identification.

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