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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

MMSE FIR Interpolation Filter

Advisor : Dr. Yung-AN Kao

Student: Ying Chun Chen

reference
Reference
  • Heinrich Meyr, Marc Moeneclaey, and Stefan A. Fechtel Digital Communication Receivers, John Wiley& Sons, LTD, 1997
outlines
Outlines
  • Introduce to MMSE
  • Simulation
  • Compare with Interpolation filter based on upsampling
  • Conclusion
introduce to mmse fir interpolation filter
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

introduce to mmse fir interpolation filter1
Introduce to MMSE FIR Interpolation filter

To obtain the minimum

(2)

 (3)

 R =RH (4)

R is Toeplitz matrix

frequency response
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 response1
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
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
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
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.