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EENG 751: Signal Processing I

EENG 751: Signal Processing I. Class # 9 Outline Signal Flow Graph Implementation Fundamentals System Function Graph Construction Graph Analysis Applications Complex Coefficient Systems. SFG Reference. IEEE Transactions on Signal; Processing, vol 41 No. 3 March 1993

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EENG 751: Signal Processing I

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  1. EENG 751: Signal Processing I Class # 9 Outline Signal Flow Graph Implementation • Fundamentals • System Function • Graph Construction • Graph Analysis • Applications • Complex Coefficient Systems

  2. SFG Reference IEEE Transactions on Signal; Processing, vol 41 No. 3 March 1993 “Efficient Computation of the DFT with Only a Subset of Input or Output Points” page 1184.

  3. SFG Reference IEEE Transactions on Signal; Processing, vol 41 No. 3 March 1993 “Efficient Computation of the DFT with Only a Subset of Input or Output Points” page 1188.

  4. SFG Fundamentals

  5. SFG Fundamentals (Cont)

  6. SFG Fundamentals (Cont)

  7. SFG Fundamentals (Cont)

  8. SFG Generation

  9. SFG Generation (Cont)

  10. SFG Generation (Cont)

  11. SFG Generation (Cont)

  12. SFG Generation (Cont)

  13. SFG Generation (Cont)

  14. SFG Generation (Cont)

  15. SFG Generation (Cont)

  16. SFG Generation (Cont)

  17. SFG Generation (Cont)

  18. SFG Generation (Cont)

  19. SFG Application Reference IEEE Transactions on Signal; Processing, vol 41 No. 3 March 1993 “Efficient Computation of the DFT with Only a Subset of Input or Output Points” page 1188.

  20. SFG Application Reference IEEE Transactions on Signal; Processing, vol 41 No. 3 March 1993 “Efficient Computation of the DFT with Only a Subset of Input or Output Points” page 1189.

  21. SFG Application Example

  22. SFG Application Example

  23. SFG Application Example

  24. SFG Application Example

  25. SFG Application Example (Cont)

  26. Alternate Canonic Forms

  27. Alternate Canonic Forms (Cont)

  28. Alternate Canonic Forms (Cont)

  29. Alternate Canonic Forms (Cont)

  30. Alternate Canonic Forms (Cont)

  31. Cascade Form

  32. Cascade Form

  33. Parallel Form

  34. Parallel Form (Cont)

  35. The Transposition Theorem

  36. The Transposition Theorem (Cont)

  37. The Transposition Theorem (Cont)

  38. FIR Filter Equations

  39. Transpose FIR Filter Equations

  40. The Transposition Theorem (Cont)

  41. FIR SFGs

  42. FIR SFGs (Cont)

  43. FIR SFGs (Cont)

  44. FIR SFGs (Cont)

  45. FIR SFGs (Cont)

  46. FIR SFGs (Cont)

  47. Linear Phase FIR SFGs

  48. Linear Phase FIR SFGs (Cont)

  49. Linear Phase FIR SFGs (Cont)

  50. Causal Linear Phase Systems

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