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MMSE FIR Interpolation Filter

MMSE FIR Interpolation Filter. Advisor : Dr. Yung-AN Kao Student: Ying Chun Chen. Reference. Heinrich Meyr, Marc Moeneclaey, and Stefan A. Fechtel Digital Communication Receivers , John Wiley& Sons, LTD, 1997. Outlines. Introduce to MMSE Simulation

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MMSE FIR Interpolation Filter

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  1. MMSE FIR Interpolation Filter Advisor : Dr. Yung-AN Kao Student: Ying Chun Chen

  2. Reference • Heinrich Meyr, Marc Moeneclaey, and Stefan A. Fechtel Digital Communication Receivers, John Wiley& Sons, LTD, 1997

  3. Outlines • Introduce to MMSE • Simulation • Compare with Interpolation filter based on upsampling • Conclusion

  4. Introduce to MMSE FIR Interpolation filter Error function as follow (1) where B is the one-sided signal bandwidth I1=N and I2=N-1 From this it follows that the number of samples should be even

  5. Introduce to MMSE FIR Interpolation filter To obtain the minimum (2)  (3)  R =RH (4) R is Toeplitz matrix

  6. Simulation

  7. Frequency Response Interpolation filter by LSE Passband 0.15 Stopband 0.25  Interpolation filter coefficient length 10 Cutoff frequency 0.2  MMSE Interpolation filter B=0.375 N=5 Delay information =0.4

  8. Frequency Response Interpolation filter by LSE Passband 0.15 Stopband 0.25  Interpolation filter coefficient length 10 Cutoff frequency 0.2  MMSE Interpolation filter B=0.375 N=5 Delay information =0.4

  9. Error Performance Interpolation filter by LSE Passband 0.15 Stopband 0.25  Interpolation filter coefficient length 10 Cutoff frequency 0.2  MMSE Interpolation filter B=0.375 N=5 Delay information =0.4

  10. Group Delay Interpolation filter by LSE Passband 0.15 Stopband 0.25  Interpolation filter coefficient length 10 Cutoff frequency 0.2  MMSE Interpolation filter B=0.375 N=5 Delay information =0.4

  11. Conclusion • The MMSE interpolation filter has larger error than interpolation filter by LSE in frequency domain and error performance • Complexity of Computation in MMSE interpolation filter is the same as interpolation filter by LSE.

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