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GROUP MEMBERS: ISHTIAQUE AL MAHMUD (022469) AHSANUR RAHMAN (022464) JABED HASAN (022473) PROJECT SUPERVISOR: Prof. Md. KAMRUL HASAN EEE, BUET Blind PNLMS  Adaptive Algorithm  for  SIMO FIR  Channel Estimation
Presentation Outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
SIMO Channel Model ,[object Object],M = Number of Channel L= Length of Maximum impulse response
Blind Channel Identification ,[object Object],from i th  channel observation vector,  x i (n). ,[object Object],[object Object]
Blind Channel Identification ,[object Object],Exploiting the above equation, Cross relation
Blind Channel Identification ,[object Object],Normalization provides, Cost function  is defined as,
LMS Algorithm ,[object Object],Where, Or, Here, ĥ = arg min E {J(n)} i,e subjected to || ĥ ||=1 μ  = positive step size parameter Update or estimation depends on the value of  μ
Performance curve for FSSLMS   Performance Index, Number of channel, M=5 Length of  impulse response, L =32 SNR=high µ=1
VSSLMS Algorithm Variable step size is defined as ,
Performance curve for VSSLMS   Performance Index,
Comparative Study Number of channel, M=5 Length of  impulse response, L =32
Comparative Study
MCNLMS Algorithm Update equation for a single channel, Variable step size is defined as, Where, error vector,
MCPNLMS Algorithm Where, Update Equation for  single channel
Comparative Study (Random channels) Channel number, M=3 Channel length, L=32 SNR=20db
Comparative Study (Random channels) Channel number, M=5 Channel length, L=32 SNR=20db
Comparative Study (Acoustic channels) Channel number, M=5 Channel length, L=32 SNR=20db
Comparative Study (Acoustic channels) Channel number, M=5 Channel length, L=128 SNR=20db
Approximation of  MCPNLMS Algorithm Update Equation for  single channel where Variable step size is defined as,
Comparative Study (Random channels) Channel number, M=3 Channel length, L=32 SNR=20db
Comparative Study (Random channels) Channel number, M=3 Channel length, L=64 SNR=20db
Comparative Study (Random channels) Channel number, M=5 Channel length, L=32 SNR=20db
Comparative Study (Random channels) Channel number, M=5 Channel length, L=64 SNR=20db
Comparative Study (Random channels) Channel number, M=8 Channel length, L=64 SNR=20db
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object]
References ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object]

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Blind PNLMS Adaptive Algorithm for SIMO FIR Channel Estimation