1 / 54

Joint MIMO Radar Waveform and Receiving Filter Optimization

Joint MIMO Radar Waveform and Receiving Filter Optimization. Chun-Yang Chen and P. P. Vaidyanathan. California Institute of Technology Electrical Engineering/DSP Lab. ICASSP 2009. Outline. Problem Formulation Extended target and clutter Detection MIMO radar Proposed Algorithm

parley
Download Presentation

Joint MIMO Radar Waveform and Receiving Filter Optimization

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Joint MIMO Radar Waveform and Receiving Filter Optimization Chun-Yang Chen and P. P. Vaidyanathan California Institute of Technology Electrical Engineering/DSP Lab ICASSP 2009

  2. Outline • Problem Formulation • Extended target and clutter • Detection • MIMO radar • Proposed Algorithm • Iterative algorithm • Receiver • Waveforms • Numerical Examples • Conclusions Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  3. Problem Formulation 1

  4. Extended Target vs. Point Target Point Target Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  5. Extended Target vs. Point Target Point Target : radar cross section : delay Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  6. Extended Target vs. Point Target Point Target Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  7. Extended Target vs. Point Target Point Target Extended Target Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  8. Extended Target and Clutter Extended Target Extended Clutter Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  9. Extended Target and Clutter Extended Target Extended Clutter Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  10. Extended Target and Clutter Extended Target Extended Clutter v(t) f(t) R(s) C(s) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  11. Baseband Equivalent Model A/D v(t) f(n) r(n) Modulation R(s) Demodulation D/A C(s) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  12. Baseband Equivalent Model A/D v(t) f(n) r(n) Modulation R(s) Demodulation D/A C(s) v(n) R(z) f(n) C(z) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  13. Detection Problem H0 Clutter H1 Target Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  14. Detection Problem H0 Clutter H1 Target v(n) f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  15. Detection Problem H0 Clutter H1 Target v(n) f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  16. SINR Maximization v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  17. SINR Maximization v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  18. SINR Maximization v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Signal Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  19. SINR Maximization v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Clutter Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  20. SINR Maximization v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Noise Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  21. SINR Maximization v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) [Delong & Hofstetter 67] [Pillai et al. 03] Power constraint Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  22. The MIMO Case [Friedlander 07] Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  23. The MIMO Case [Friedlander 07] v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  24. Prior Information Assumptions: Target impulse response is known Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  25. Prior Information Assumptions: Target impulse response is known 2nd order statistics of clutter is known Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  26. Proposed Algorithm 2

  27. Iterative Algorithm v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) 1. Fixed f, solve for h Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  28. Iterative Algorithm v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) 1. Fixed f, solve for h 2. Fixed h, solve for f Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  29. Iterative Algorithm v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) 1. Fixed f, solve for h 2. Fixed h, solve for f 3. Fixed f, solve for h Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  30. Iterative Algorithm v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) 1. Fixed f, solve for h 2. Fixed h, solve for f 3. Fixed f, solve for h SINR is guaranteed to be non-decreasing in each iterative step. Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  31. Solving for the Receiver v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  32. Solving for the Receiver Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  33. Solving for the Receiver Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  34. Solving for the Receiver MVDR (Minimum Variance Distortionless) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  35. Solving for the Receiver MVDR (Minimum Variance Distortionless) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  36. Solving for the Waveforms v(n) u f(n) H0 or H1 R(z) H(z) LRT Transmitted waveform Receiving filter Likelihood ratio test C(z) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  37. Solving for the Waveforms Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  38. Solving for the Waveforms Cannot be solved using MVDR Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  39. Solving for the Waveforms Try Lagrange Method: Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  40. Solving for the Waveforms Try Lagrange Method: cannot be solved easily Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  41. Recasting the Waveform Optimization Problem Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  42. Recasting the Waveform Optimization Problem Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  43. Recasting the Waveform Optimization Problem Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  44. Recasting the Waveform Optimization Problem Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  45. Recasting the Waveform Optimization Problem Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  46. Recasting the Waveform Optimization Problem MVDR (Minimum Variance Distortionless) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  47. Recasting the Waveform Optimization Problem MVDR (Minimum Variance Distortionless) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  48. Proposed Algorithm Initialize: Choose a start point for f v(n) f(n) R(z) H(z) Transmitted waveform Receiving filter C(z) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  49. Proposed Algorithm Initialize: Choose a start point for f v(n) f(n) R(z) H(z) Transmitted waveform Receiving filter C(z) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

  50. Proposed Algorithm Initialize: Choose a start point for f v(n) f(n) R(z) H(z) Repeat Transmitted waveform Receiving filter C(z) Chun-Yang Chen, Caltech DSP Lab | ICASSP 2009

More Related