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Blind-Spectrum Non-uniform Sampling and its Application in Wideband Spectrum Sensing By. M. R. Avendi

Blind-Spectrum Non-uniform Sampling and its Application in Wideband Spectrum Sensing

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  1. 1. Blind-Spectrum Non-uniform Sampling and its Application in Wideband Spectrum Sensing By. M. R. Avendi
  2. 2. Agenda Blind Spectrum Signal Model Parameters L, p, q, C Spectral Recovery Subspace Method NLLS Method Simulation Application for Spectrum Sensing Application for Spectrum Sensing Cognitive Overview Spectrum sensing Current methods Proposed model Simulation Summary and conclusion 2
  3. 3. Blind spectrum signal model Number of bands N Each band no wider than B Maximum frequency fmax Locations unknown Landau lower bound (F)=NB 3
  4. 4. Sampling Parameters Number of active slots : qmin < q < qmax q=3 4 Minimum and Maximum number of active slots q=6
  5. 5. Sampling Parameters L p > qmax q = N(d+1) 5 qmax= N(d+1) Sampling Rate
  6. 6. Sampling Parameters Sample pattern C - Exhaustive Search- Exhaustive Search - Random Selection - Sequential Search 6
  7. 7. Spectral Recovery Ideal model y(f)=AC(k) z(f) Non-ideal model y(f)= A (k) z(f)+ n(f)y(f)= AC(k) z(f)+ n(f) y is known, k and z are unknown n(f) additive white noise spectral index set k ? 7
  8. 8. Spectral Recovery Subspace method 8
  9. 9. Number of active slots q 9 Ordered Eigenvalues
  10. 10. Number of active slots Information theoretic criteria approaches AIC : Akaike Information criterion MDL: Minimum Description length 10
  11. 11. Number of active slots Exponential fitting test (EFT) 11 Ordered Eigenvalues of signal and noise
  12. 12. Location of active slots MUSIC algorithm 12 The k-th column of modulation matrix
  13. 13. MUSIC-Algorithm 13 Signal spectrum and MUSIC- Results
  14. 14. Spectral Recovery : NLLS method 14 Solution: -Exhaustive search - Sequential search
  15. 15. NLLS method 15 Least square error criteria
  16. 16. Simulation N=3, fmax=20, B=0.9 16 Time and frequency domain of multi-band signal
  17. 17. simulation L=floor(fmax/B)=22 qmax= N*2=6 => p=q+1=7 C= {0 5 6 8 11 16 17} Sampling rate D= f *p/L= 6.3 !! In compare Sampling rate D= fmax*p/L= 6.3 !! In compare 20!! Compute matrix R7*7 17
  18. 18. simulation 18 simulation result
  19. 19. Simulation Sampling ratio=6.36 p=7 L=22 19 Reconstructed signal in time and frequency domain RMSE=2.7%
  20. 20. spectrum sensing 20
  21. 21. Spectrum sensing Narrowbands Wideband Challenge: High sample rate 21
  22. 22. Spectrum Sensing: Proposed Model 22
  23. 23. Model parameters Given channel B, , fmax L= fmax/B , p= L Compression Ratio: CR=p/L > Sampling Parameters Sampling Parameters Detection Probability: Depend on SNR and CR 23
  24. 24. Spectrum sensing: simulation =0.1 , fmax=2 GHz Resolution Channel : B=10 MHz L=2GHz/10MHz= 200 p= L = 200 * 0.1= 20 p= L = 200 * 0.1= 20 fs= fmax * p/L= 200 MHz !! CR= 0.1 24
  25. 25. Simulation 25
  26. 26. simulation: 26 Detection probability vs. SNR for various Compression Ratio
  27. 27. Summary & Conclusion Periodic non-uniform Sampling & Reconstruction Sampling parameters: L, p ,sample pattern C Spectral recovery : Subspace, NLLS Wideband spectrum sensing Future works: Implementation aspects of non-uniform ADC General sample pattern for blind spectrum signal Reduce the sample rate for extreme case of blind signals Formulation of detection probability vs. SNR and CR 27
  28. 28. Thank you for attention Question ? 28