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New Improvements on Rate-Distortion Peformance of DPCM Using Multi-Rate Processing

New Improvements on Rate-Distortion Peformance of DPCM Using Multi-Rate Processing. Anna N. Kim, Tor A. Ramstad. The Classic DPCM Structure. +. Uniform Quanitzer. -. +. Linear Predictor. Rate Distortion Performance of DPCM. Previous Work. Farvardin & Modistino (1985)

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New Improvements on Rate-Distortion Peformance of DPCM Using Multi-Rate Processing

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  1. New Improvements on Rate-Distortion Peformance of DPCM Using Multi-Rate Processing Anna N. Kim, Tor A. Ramstad

  2. The Classic DPCM Structure + Uniform Quanitzer - + Linear Predictor

  3. Rate Distortion Performance of DPCM

  4. Previous Work • Farvardin & Modistino (1985) • Øien & Ramstad (2001) • Guleryuz & Orchard (2001)

  5. Øien & Ramstad: DPCM and The Wiener Filter + UQ W EC ED - + P

  6. Øien & Ramstad: Simulation Results

  7. Guleryuz & Orchard: System Structure + 1-P L1 UQ EC ED L2 + C

  8. Guleryuz & Orchard: Simulation Results

  9. Rate-Distortion Theory • Discrete Time Discrete Amplitude Source • Discrete Time Continuous Amplitude Source • Source With Memory

  10. The Water-filling Principle

  11. Rate-Distortion Bound of AR(1) Process

  12. Optimal Mapping + H

  13. Approximations & Assumptions • No correlation between quantizer input and quantization noise • No correlation between samples of quantizer output • Quantization noise variance • Entropy of quantizer output as bit rate

  14. Proposed Codec (a) + L UQ EC ED L W - + P

  15. Simulation Results: (a)

  16. Proposed Codec (b) + L r UQ EC ED r L W - + P

  17. Simulation Results: (b)

  18. Discussions • Source Spectral Shaping • Bit Rate Reduction • Prediction Coefficient • Effects of Wiener Filter • Multi-Rate Processing

  19. Shaping of Source Signal Spectra

  20. Bit Rate Reduction • Bit rate after down-sampling: • Additional bits for maintaining distortion level • Total bit rate reduction Ra : Rb Ra - Rb

  21. The Linear Predictor • In classic DPCM • With down-sampling rate r

  22. Effect of Prediction Coefficient

  23. Effects of Wiener Filter

  24. Multi-Rate Processing • Integer Sampling Rate Alteration • Fractional Sampling Rate Alteration Hd(z) M L Hu(z) L H(z) M

  25. Conclusions • Rate Distortion Motivated Set-up • Simple Configuration • Superior Performance • Robust System

  26. Future Work • Non-monotonically decreasing spectrum • Non-linear mapping • Application in low bit rate image coding

  27. PSD of The Source Signal (b)

  28. PSD of the Low Passed Source (b)

  29. PSD of Downsampled Signal

  30. PSD of Quantizer Input (b)

  31. PSD of Decoded Signal

  32. PSD of Upsampled Signal

  33. PSD of Interpolated Signal

  34. PSD of Wiener Filtered Signal

  35. PSD of The Source Signal (a)

  36. PSD of the Low Passed Source (a)

  37. PSD of Quantizer Input (a)

  38. PSD of Lowpassed Signal

  39. PSD of Wiener Filtered Signal

  40. PSD of Decoded Signal

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