MMSE FIR Interpolation Filter

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# MMSE FIR Interpolation Filter - PowerPoint PPT Presentation

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&amp; Sons, LTD, 1997. Outlines. Introduce to MMSE Simulation

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### MMSE FIR Interpolation Filter

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
• Compare with Interpolation filter based on upsampling
• Conclusion
Introduce to MMSE FIR Interpolation filter

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

Introduce to MMSE FIR Interpolation filter

To obtain the minimum

(2)

 (3)

 R =RH (4)

R is Toeplitz matrix

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

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

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

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

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.