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SB-BIT, MEERUT

First Sessional Examination

Digital Communication-(EEC-60!

B" Tec# III $r % &I Sem

Electronics ' Communication Roll o" - )))))))""

Time - *+0 rs MM +0

Section ./

" /ttem1t all 2uestion" /ll 2uestions are carr3ing e2ual mar4s" (5x70!(i) Write short note on Hamming codes explaining its error

detection and correction capabilities.(ii) For a AWGN channel with 4kHz bandwidth and noise

PS!N"#$%&$'W(Hz)*signal power re+,ired at recei-er is %.$mW.alc,late capacit/ o0 channel1

(iii) What is 2ntrop/1 State its ' properties1(iv) 30 there are #'N e+,all/ likel/ messages* Pro-e that the

amo,nt o0 in0ormation carried b/ each message will be 5N5bits.

(v) Appl/ Shannon&Fano coding6 P!x$) #%.4* P!x')#%.'*P!x7)#%.$'* P!x4)# P!x8)# P!x9)# %.%:* P!x;)#%.%4 and between

?andwidth and SN@1(ii) ' ?S are connected in cascade

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(ii) onsider a !;*4) linear block code whose generator matrix isgi-en b/6

!a) Find all the code words !b) Find the parit/ check matrix(iii) Deri0/ the 0ollowing expression6 H!E*) # H!E) C H!)