Modulation and coding course- lecture 11

... Modulation, Demodulation and Coding Course Period 3 - 2007 Catharina Logothetis Lecture 11 Lecture 11 10 Trellis – cont’d 1 /11 0/00 0/10 1 /11 1/01 0/00 0 /11 0/10 0/01 1 /11 1/01 1/00 0/00 0 /11 0/10 0/01 0/00 0 /11 0/00 6 t 1 t 2 t 3 t 4 t 5 t 1 ... 3 0 1 2 3 2 3 20 2 30 )100( ˆ =m )000 0111 011( ˆ =U Lecture 11 28 Example of soft-decision Viterbi decoding )101( ˆ =...

Ngày tải lên: 29/10/2013, 13:15

... it.  Example: 110 01 01010 111 00 111 011 :sequenceOutput 001 :sequenceInput 21 uu Branch word Register contents 111 0001 011 1110 111 0000000 111 0111 OutputInput m Modulo-2 sum: Lecture 10 13 Encoder ... 0 /11 0/10 0/01 1 /11 1/01 1/00 0/00 0 /11 0/10 0/01 1 /11 1/01 1/00 0/00 0 /11 0/10 0/01 1 /11 1/01 1/00 0/00 6 t 1 t 2 t 3 t 4 t 5 t 1 0 1 0 0 11 10 00 10 11 Input bi...

Ngày tải lên: 25/10/2013, 06:15

... Example: . of subspace a is ) }111 1(),1010(),0101(),0000{( 4 V n V n V ) }111 1() ,110 1() ,110 0(),1 011( ),1010(),1001(),1000( ), 0111 (),0101(),0100(),0 011( ),0010(),0001(),0000{( 4 =V Lecture 9 14 Some definitions… ... addition and multiplication forms a field.  Binary field is also called Galois field, GF(2). 011 101 110 000 =⊕ =⊕ =⊕ =⊕ 111 001 010 000 =⋅ =⋅ =⋅ =⋅ Addition Mult...

Ngày tải lên: 25/10/2013, 06:15

... of the code, denoted by ffree dd or Lecture 12 8 Example of hard-decision Viterbi decoding )100( ˆ =m )110 0111 011( ˆ =U )101(=m )111 0001 011( =U ) 0110 1110 11(=Z 0 2 0 1 2 1 0 1 1 0 1 2 2 1 0 2 1 1 1 6 t 1 t 2 t 3 t 4 t 5 t 1 0 2 ... to all-zero path with minimum weight 5= f d Lecture 12 9 Example of soft-decision Viterbi decoding )101( ˆ =m )111 0001 011( ˆ =U )101(=m )111 0...

Ngày tải lên: 29/10/2013, 13:15

... signal  Baseband versus bandpass:  Bandwidth dilemma:  Bandlimited signals are not realizable!  Realizable signals have infinite bandwidth! Baseband signal Bandpass signal Local oscillator Lecture ... oscillator Lecture 1 25 Bandwidth of signal …  Different definition of bandwidth: a) Half-power bandwidth b) Noise equivalent bandwidth c) Null-to-null bandwidth a) Fractional power c...

Ngày tải lên: 08/11/2013, 18:15

... -3.1867 PCM codeword 110 110 111 110 100 010 011 100 100 011 PCM sequence amplitude x(t) Lecture 2 12 Quantization error  Quantizing error: The difference between the input and output of a quantizer )()( ˆ )( ... I: Modulation and Coding Course Period 3 – 200/ Catharina Logothetis Lecture 2 Lecture 2 10 Encoding (PCM)  A uniform linear quantizer is called Pulse Code Mo...

Ngày tải lên: 08/11/2013, 18:15

... values boundaries Quant. levels 111 3.1867 110 2.2762 101 1.3657 100 0.4552 011 -0.4552 010 -1.3657 001 -2.2762 000 -3.1867 PCM codeword 110 110 111 110 100 010 011 100 100 011 PCM sequence amplitude x(t) Lecture 3 ... non-uniform  Baseband modulation  Binary pulse modulation  M-ary pulse modulation  M-PAM (M-ay Pulse amplitude modulation) Lecture 3 3 Formatting and...

Ngày tải lên: 27/01/2014, 08:20

... A 0 1 s 2 s T A T A− 0 0 Tt )( 1 t ψ T 1 0 0)()()()( )()()(),( /)(/)()( )( 122 0 1212 111 1 0 2 2 11 =−−= −=>=< == == ∫ ∫ tAtstd Adtttstts AtsEtst AdttsE T T ψ ψψ ψ 1 2 Digital Communications I: Modulation and Coding Course Period 3 - 2007 Catharina Logothetis Lecture ... Vector to waveform conversion Lecture 4 17 Example of projecting signals to an orthonormal signal spac...

Ngày tải lên: 27/01/2014, 08:20

... bound 1 ψ 1 s 4 s 2 s 3 s 1 Z 4 Z 3 Z 2 Z r 2 ψ 1 ψ 1 s 4 s 2 s 3 s 2 A r 1 ψ 1 s 4 s 2 s 3 s 3 A r 1 ψ 1 s 4 s 2 s 3 s 4 A r 2 ψ 2 ψ 2 ψ ∫ ∪∪ = 432 )|()( 11 ZZZ e dmpmP rr r ∫ = 2 )|(),( 112 2 A dmpP rrss r ∫ = 3 )|(),( 113 2 A dmpP rrss r ∫ = 4 )|(),( 114 2 A dmpP rrss r ∑ = ≤ 4 2 121 ),()( k ke PmP ss Lecture 5 18 Upper bound ... iEE sii s s ski Ed ki Ed 2 2 min , = ≠ = Digital Comm...

Ngày tải lên: 27/01/2014, 08:20

... -3.1867 PCM codeword 110 110 111 110 100 010 011 100 100 011 PCM sequence amplitude x(t) Lecture 2 12 Quantization error  Quantizing error: The difference between the input and output of a quantizer )()( ˆ )( ... levels and Lecture 2 11 Quantization example t Ts: sampling time x(nTs): sampled values xq(nTs): quantized values boundaries Quant. levels 111 3.1867 110 2.2762 1...

Ngày tải lên: 23/03/2014, 10:21