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Compare ideal Interpolation filter and interpolation by LSE FIR filter(2)

Compare ideal Interpolation filter and interpolation by LSE FIR filter(2). Advisor : Dr. Yuan-AN Kao Student: Bill Chen. Outline. FIR Filter by Windowing Comparison (Simulation) Conclusion Reference. Design of FIR Filter By Windowing(1/2). Design of FIR Filter By Windowing (1/2).

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Compare ideal Interpolation filter and interpolation by LSE FIR filter(2)

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  1. Compare ideal Interpolation filter and interpolation by LSE FIR filter(2) Advisor : Dr. Yuan-AN Kao Student: Bill Chen

  2. Outline • FIR Filter by Windowing • Comparison (Simulation) • Conclusion • Reference

  3. Design of FIR Filter By Windowing(1/2)

  4. Design of FIR Filter By Windowing (1/2)

  5. Kaiser Window & Simulation

  6. Kaiser Window (Simulation) M+1=55 Alpha=0.5M Beta

  7. Kaiser Window (Simulation)

  8. Comparison(1/14) Filter coefficient M=55 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta

  9. Comparison (2/14) Filter coefficient M=55 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta

  10. Comparison (3/14) Filter coefficient M=55 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.1pi Stopband freq=0.3pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta

  11. Comparison (4/14) Filter coefficient M=55 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.1pi Stopband freq=0.3pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta

  12. Comparison (5/14) Filter coefficient M=55 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.17pi Stopband freq=0.23pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta

  13. Comparison (6/14) Filter coefficient M=55 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.17pi Stopband freq=0.23pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta

  14. Comparison (7/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta0

  15. Comparison (8/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta0

  16. Comparison (9/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta3

  17. Comparison (10/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta3

  18. Comparison (11/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta6

  19. Comparison (12/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi Ideal interpolation filter with Kaiser Window Alpha=0.5*(M-1) Beta6

  20. Comparison (13/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi

  21. Comparison (14/14) Filter coefficient M=11 Interpolation filter by LSE FIR filter Upsample=5 Cutoff freq=0.2pi Passband freq=0.15pi Stopband freq=0.25pi

  22. Conclusion

  23. Reference • F.M.Gardner, ”Interpolation in digital modems-Part I :Fundamental” IEEE Trans.Commun.,vol.41 pp.502-508,Mar.1993 • J.V.,F.L.,T.S.,andM.R. ”The effects of quantizing the fractional interval in interpolation filters” • Heinrich Meyr ,Marc Moeneclaey ,Stefan A. Fechtel “Digital Communication Receivers”. New York :Wiley 1997 • C. S. Burrus, A. W. Soewito and R. A. Gopnath, “Least Squared Error FIR Filter Design with Transition Bands,” IEEE Trans. Signal Processing, vol. 40, No. 6, pp.1327-1338, June 1992. • Heinrich Meyr ,Marc Moeneclaey ,Stefan A. Fechtel “Digital Communication Receivers”. New York :Wiley 1997 • Alan V. Oppenheim ,Ronald W. Schafer with John R. Buck “Discrete-Time Signal Processing”.

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