>On Saturday, October 10, 2015 at 9:16:27 AM UTC-7, ste3191 wrote: >> >You might try a spacial sampling like lambda/4 that doesn't violatethe>> >Nyquist criteria as lambda/2 does for end-fire wave arrivals. >> > >> >Dale B. Dalrymple >> >> yes, I tried but i'd errors too. For example with lambda/4 >> the doas 75 and 10 deg are estimated as 76.40 and 18.45 > >What conclusion do you draw from these values? How do all the values you >calculated for lambda/2 compare to those for lambda/4? >> >> The script seems correct.. Maybe i can try to change pencil parameter >> 5<L<8 > >How can the script seem correct when it gives these results? > >Dale B. DalrympleI know :(, but these are all steps of article :(... however here there are some results comparision: Doa | Estimated | lambda/2 | lambda/4 -------------------------------------- 0 90 16.42 5 83 17.12 10 66 19.09 30 39 33.58 40 44 42.43 50 52 51.66 60 61 61.11 70 70 70.68 80 80 80.32 90 90 90 110 109 109.31 130 127 128.33 135 131 132.98 150 140 146.41 170 113 160.90 180 90 163.57 There's a little improvement, but not sufficient yet --------------------------------------- Posted through http://www.DSPRelated.com
Direction of arrival with Unitary Matrix Pencil Method
Started by ●October 9, 2015
Reply by ●October 11, 20152015-10-11
Reply by ●October 11, 20152015-10-11
It is difficult to compare your implementation to a paper I don't have access to (published at an obscure conference and apparently never cited as far as IEEE and Google can tell). And you will seldom get such detailed analysis for free, particularly when you fail to provide even a full citation of the paper, let alone access. If this question arises from a real application or from self study, consider the references below. If this is a homework problem, perhaps the point is for you to discover discrepancies in the description in the paper. Consideration of the references below might assist you in that. Good luck, Dale B. Dalrymple References 2-D unitary matrix pencil method for efficient direction of arrival estimation Digital Signal Processing, Volume 16, Issue 6, Pages 767-781 Nuri Yilmazer, Tapan K. Sarkar In this study, we extended the one-dimensional (1-D) unitary matrix pencil method (UMP) [N. Yilmazer, J. Koh, T.K. Sarkar, Utilization of a unitary transform for efficient computation in the matrix pencil method to find the direction of arrival, IEEE Trans. Antennas Propagat. 54 (1) (2006) 175-181] to two-dimensional case, where 2-D matrix pencil (MP) method are used to find the 2-D poles corresponding to the direction of arrival (DOA), azimuth and elevation angles, of the far field sources impinging on antenna arrays. This technique uses MP method to compute the DOA of the signals using a very efficient computational procedure in which the complexity of the computation can be reduced significantly by using a unitary matrix transformation. This method applies the technique directly to the data without forming a covariance matrix. Using real computations through the unitary transformation for the 2-D matrix pencil method leads to a very efficient computational methodology for real time implementation on a DSP chip. The numerical simulation results are provided to see the performance of the method. N. Yilmazer, J. Koh, T.K. Sarkar, Utilization of a unitary transform for efficient computation in the matrix pencil method to find the direction of arrival, IEEE Trans. Antennas Propagat. 54 (1) (2006) 175-181 Abstract In this study, we use the matrix pencil (MP) method to compute the direction of arrival (DOA) of the signals using a very efficient computational procedure in which the complexity of the computation can be reduced significantly by using a unitary matrix transformation. This method applies the technique directly to the data without forming a covariance matrix. Simulation results show that the variance of the estimate approaches to the Cramer-Rao lower bound. Using real computations through the unitary transformation for the MP method leads to a very efficient computational methodology for real time implementation on a digital signal processor chip. A unitary transform can convert the complex matrix to a real matrix along with their eigenvectors and thereby reducing the computational cost at least by a factor of four without sacrificing accuracy. This reduction in the number of computations is achieved by using a transformation, which maps centro-hermitian matrices to real matrices. This transformation is based on Lee's work on centro-hermitian matrices.
Reply by ●October 11, 20152015-10-11
>It is difficult to compare your implementation to a paper I don't have >access to (published at an obscure conference and apparently never citedas>far as IEEE and Google can tell). And you will seldom get such detailed >analysis for free, particularly when you fail to provide even a fullcitation of>the paper, let alone access. > >If this question arises from a real application or from self study, >consider the references below. > >If this is a homework problem, perhaps the point is for you to discover >discrepancies in the description in the paper. Consideration of the >references below might assist you in that. > >Good luck, >Dale B. Dalrymple > >References >2-D unitary matrix pencil method for efficient direction of arrival >estimation >Digital Signal Processing, Volume 16, Issue 6, Pages 767-781 >Nuri Yilmazer, Tapan K. Sarkar >In this study, we extended the one-dimensional (1-D) unitary matrixpencil>method (UMP) [N. Yilmazer, J. Koh, T.K. Sarkar, Utilization of a unitary >transform for efficient computation in the matrix pencil method to findthe>direction of arrival, IEEE Trans. Antennas Propagat. 54 (1) (2006)175-181]>to two-dimensional case, where 2-D matrix pencil (MP) method are used to >find the 2-D poles corresponding to the direction of arrival (DOA),azimuth>and elevation angles, of the far field sources impinging on antennaarrays.>This technique uses MP method to compute the DOA of the signals using a >very efficient computational procedure in which the complexity of the >computation can be reduced significantly by using a unitary matrixtransformation.>This method applies the technique directly to the data without forming a >covariance matrix. Using real computations through the unitary >transformation for the 2-D matrix pencil method leads to a very efficientcomputational>methodology for real time implementation on a DSP chip. The numerical >simulation results are provided to see the performance of the method. > >N. Yilmazer, J. Koh, T.K. Sarkar, Utilization of a unitary transform for >efficient computation in the matrix pencil method to find the directionof>arrival, IEEE Trans. Antennas Propagat. 54 (1) (2006) 175-181 >Abstract >In this study, we use the matrix pencil (MP) method to compute the >direction of arrival (DOA) of the signals using a very efficientcomputational>procedure in which the complexity of the computation can be reduced >significantly by using a unitary matrix transformation. This methodapplies the>technique directly to the data without forming a covariance matrix.Simulation>results show that the variance of the estimate approaches to theCramer-Rao>lower bound. Using real computations through the unitary transformationfor>the MP method leads to a very efficient computational methodology forreal>time implementation on a digital signal processor chip. A unitary >transform can convert the complex matrix to a real matrix along withtheir>eigenvectors and thereby reducing the computational cost at least by afactor of>four without sacrificing accuracy. This reduction in the number of >computations is achieved by using a transformation, which mapscentro-hermitian>matrices to real matrices. This transformation is based on Lee's work on >centro-hermitian matrices.Thank you For suggestion, but i already have seen these articles. I wrote the script For 2d version and it Works good, except For negative azimuth. However is for real Application :( --------------------------------------- Posted through http://www.DSPRelated.com
