International Research Journal of Engineering and Technology (IRJET)
e-ISSN: 2395 -0056
Volume: 04 Issue: 02 | Feb -2017
p-ISSN: 2395-0072
www.irjet.net
Performance Analysis of MUSIC Algorithm for DOA Estimation Bhaumik Barodia Electronics and Communication Dr. S & S.S Gandhy Government Engg College Surat, INDIA ---------------------------------------------------------------------***--------------------------------------------------------------------2. DATA MODEL
Abstract - Direction of Arrival plays an important role in
increasing the throughput and capacity of network by focusing the reception and transmission of signal in the desired direction. In practical scenario multiple signals arrive from multiple sources towards the antenna. The capacity of the system can be increased if multiple signals are focused in desired direction. This paper shows the performance analysis of MUSIC algorithm using uniform linear array. The MUSIC algorithm performs well if the signals are incoherent but if the signal has coherent nature the performance of MUSIC algorithm degrades.
The general equation for received signal in uniform linear array can be written[3] as
( ) ∑
( )
( ) ( )
( )
( )
(1)
Where, y(n) is the received signal in a uniform linear array of N elements. M is the number of signals with additive white Gaussian noise impinging on the array. n= 0,1,…,N-1 & s(n)= is a vector of signal amplitudes, ( ) is a vector of additive noise process at element and A= ( ) ( ) ( ) is a matrix of the steering vectors whose column
Key Words: Antenna array; Direction of Arrival Estimation; Array signal processing; MUSIC Algorithm
1. INTRODUCTION
t
DOA estimation is an important technique in the field of signal processing in which the exact location of the source is find form where the signals are arriving. This technique is used in the array signal processing for the purpose of wireless communication and audio/speech processing systems. One technique used for DOA estimation is using fixed antenna in which there is one disadvantage of limiting the antennas main lobe beam width which reduces the efficiency and capacity of the antenna. There is an inverse relationship between antennas main lobe and physical size. So by increasing the physical size for improving the accuracy of angle measurement is not a practical solution[1].
Fig -1: Uniform linear antenna array[3] ( ) ( ) [ ] denotes the steering vector of source coming from antenna and is the wavelength of the carrier, , i=1,2,.., .
The smart antenna uses array of antenna instead of using a single antenna improves the efficiency and resolution of the DOA estimation. Many methods are proposed for estimating the direction and number of signals. The DOA estimation algorithm proposed in past are Capon, Barlett, Esprit and MUSIC. The MUSIC algorithm is accurate method and has high resolution which is used in design of smart antenna.In this paper MUSIC DOA estimator is simulated in MATLAB 2008 for number of elements, elements spacing, effect of snr, number of snapshots, and its evaluation for coherent signals. © 2017, IRJET
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Impact Factor value: 5.181
is the complex amplitude at element and ( ) . Here is the distance between two consecutive array elements. Our objective is to estimate the DOA of the M incident signals using MUSIC algorithm. 3. MUSIC ALGORITHM MUSIC stands for Multiple Signal Classification which is the most classic DOA techniques based on eigen decomposition
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