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A Synchronization Technique to Model Output Behavior of Wide Bandwidth Signals

A Synchronization Technique to Model Output Behavior of Wide Bandwidth Signals. Efrain Zenteno & Magnus Isaksson Center for RF measurement Technology, University of Gävle , Sweden Signal Processing Lab, The Royal Institute of Technology, KTH, Stockholm, Sweden

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A Synchronization Technique to Model Output Behavior of Wide Bandwidth Signals

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  1. A Synchronization Technique to Model Output Behavior of Wide Bandwidth Signals Efrain Zenteno & Magnus Isaksson Center for RF measurement Technology, University of Gävle, Sweden Signal Processing Lab, The Royal Institute of Technology, KTH, Stockholm, Sweden RFMTC 2011, Gävle, October, 2011

  2. Agenda Introduction (Why is synchronization needed it?) Challenges when modeling large bandwidth signals Approach Results Conclusions

  3. Introduction • Larger bandwidths are required for newer communication systems. • Weakly non-linear devices cause spectrum widening ……( larger for larger bandwidths) • Larger bandwidths poses challenges into the measurement systems, modeling and validation.

  4. Set up Description

  5. Synchronization ? • Adquisition in different time. (periodic signals) • Sub-sample.

  6. Fourier Transform: Defining .. Measured output that produces the lowestmodellingerror. Error :

  7. Model Gp’s are FIR systems

  8. Approach “Including the estimation of the delay () into the identification procedure ” Problems: Nonlinear. High dimensionality.

  9. The problem: Linearmodel parameters Nonlineardelayestimation. (separable leastsquares) Nowuse this solution The errorfunctiondepends of onlyone variable ().

  10. Effect of 

  11. Initial Cross-correlationsearch (integer D) Newton search on D + k, k = -5, -4, -3,…, 3, 4, 5 Newton Search

  12. Results

  13. Results

  14. Results

  15. A synchronizationtechnique to model output behavior of parallell Hammerstein system is presented. • With the same modelcomplexity, the searchmethod, performsbetter (in NMSE) thansimilarmethods to find the synchronization. Conclussions

  16. ThanksQuestions ?

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