📄 gmc_qpsk.m
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clear
% Define parameters of MC filter banks
load ptfilter % load prototype filter coefficients which are saved in h
prototype_filter=h;
Carrier_number=16; % Number of subcarriers
SubCarrier_first=2;
SubCarrier_last=13;
Carrier_number_used=SubCarrier_last-SubCarrier_first+1;
Sampling_factor=18; % Factor of upsampling and downsampling
Oversampling_factor=2;
Filter_length=217; % Length of filters in taps
% Define the slot structure
Spread_factor=16; % Spread factor
Subslot_number=8; % Number of subslots
Symbol_number_subslot=6; % Symbol number in a subslot
Symbol_number_slot=Subslot_number*Symbol_number_subslot; % Symbol number in a slot
Pilot_length=24; % Length of pilot signal in chips
Gaurd_length=8; % Length of gaurd time in chips
GaurdPilot_length=Gaurd_length+Pilot_length; % Total length of gaurd time and pilot signal in chips
SubslotData_length=Symbol_number_subslot*Spread_factor; % Length of data in a subslot in chips
Subslot_length=SubslotData_length+GaurdPilot_length; % Length of a subslot in chips
SlotData_length=Subslot_number*SubslotData_length; % Length of data in a slot in chips
Slot_length=Subslot_number*Subslot_length+GaurdPilot_length; % Length of a slot in chips
% Define spreading codes
Walsh=[1 1; 1 -1]/sqrt(2); % Walsh matrix for speading codes
for k=1:log2(Spread_factor)-1
Walsh=[Walsh Walsh;Walsh -Walsh]/sqrt(2);
end
Code_channel=Spread_factor; % Number of code channels
Walsh=Walsh(1:Code_channel,:)'; % The codes come from Walsh matrix
% Initialize the scrambler
PN_RegStateI = [zeros(1,14) 1];
PN_RegStateQ = [zeros(1,14) 1];
PN_PolynI = [0 1 0 0 0 1 1 1 0 1 0 0 0 0 1];
PN_PolynQ = [0 0 1 1 1 0 0 0 1 1 1 1 0 0 1];
%Define the channel
Antenna_number=4; % Number of receive antennas
Path_number=6; % Number of paths
Path_Gain=[0.8084 0.462 0.253 0.259 0.0447 0.01]; % Profile of channel model
delay=[0 18 36 54 72 90]; % Delays of paths
Fc = 3.2e9; % Carrier frequency
V =250; % moving speed in km/h
Tc = 1/1.28e6/Sampling_factor; % Chip width
Time_Begin = 0; % Initializing the time
Phase = 2*pi*rand(1,2); % Initializing the phase
% Define pilot signal
%Pilot_sequence=[1 1 1 1 1 j -1 -j 1 -j 1 -j 1 -1 -1 1 1 -1 1 -1 1 -j -1 j];
Pilot_sequence=[-1 1 j -1 -1 -1 j 1 -1 1 j -1 -1 -1 j 1 -1 1 j -1 -1 -1 j 1];
for m=1:Path_number
Pilot_matrix(m,:)=[Pilot_sequence(24-m+2:24) Pilot_sequence(1:24-m+1)];
end
Gaurd_Pilot=[Pilot_sequence(17:24) Pilot_sequence];
% Define Error Code
trel=poly2trellis(9,[561 753]);
InputN=1; OutputN=2;
tblen=40;
Slot_number=1;
Symbol_bitN=2; % 2 for QPSK and 4 for 16QAM
Map_16QAM=[3+j*3 3+j 3-j*3 3-j 1+j*3 1+j 1-j*3 1-j -3+j*3 -3+j -3-j*3 -3-j -1+j*3 -1+j -1-j*3 -1-j]/sqrt(10);
msg_L=Symbol_bitN*SlotData_length/OutputN*InputN*Slot_number-InputN*tblen; % Number of message bits
msg_SlotL=Symbol_bitN*SlotData_length/OutputN*InputN;
code_L=Symbol_bitN*SlotData_length*Slot_number;
code_SlotL=Symbol_bitN*SlotData_length;
% Raised cosine filter for interpolation
rcflt3=rcosfir(0.15,6,3,1);
% Bit error rate
ber=zeros(3,20);
format long
% Main loop
for Antenna_number=2.^(0:0); % Number of receive antennas
SNR1=10; SNR2=14;
for SNR=SNR1:SNR2
errors=0;
for k=1:2000
SNR
k
msg=randint(Carrier_number_used,msg_L,2); % Random data
msg=[msg zeros(Carrier_number_used,InputN*tblen)];
for nc=1:Carrier_number_used
code(nc,:)=convenc(msg(nc,:),trel); % Encode
code(nc,:)=reshape(vec2mat(code(nc,:),Subslot_number),1,code_L); % Interleaving
end
for sn=0:Slot_number-1
% Transmiter
% Transmiter:Generate single-carrier baseband signals
[PN,PN_RegStateI,PN_RegStateQ]=Complex_PNGen(PN_PolynI,PN_PolynQ,PN_RegStateI,PN_RegStateQ,SlotData_length); % get a complex PN sequence.
for nc=1:Carrier_number_used
s=[];
x=((1-2*code(nc,sn*code_SlotL+(1:2:code_SlotL)))+j*(1-2*code(nc,sn*code_SlotL+(2:2:code_SlotL))))/sqrt(2); % QPSK mapping
%x=Map_16QAM(bi2de(vec2mat(code(nc,sn*code_SlotL+(1:code_SlotL)),4),'left-msb')'+1); % 16QAM mapping
Tmp_s=reshape((Walsh*reshape(x,Code_channel,Symbol_number_slot))',1,SlotData_length).*PN; % spread spectrum modulation and interleving
% Tmp_s=reshape((Walsh*reshape(x,Code_channel,Symbol_number_slot)),1,SlotData_length).*PN; % spread spectrum modulation without interleving
Index_s=0; % Insert pilot and gaurd
for kk=1:Subslot_number
tmp=Tmp_s(Index_s+(1:SubslotData_length));
tmp=[Gaurd_Pilot tmp];
s=[s tmp];
Index_s=Index_s+SubslotData_length;
end
s=[s Gaurd_Pilot];
sb(nc,:)=s;
end
% Transmiter:Combine subcarrier baseband signals into multicarrier baseband signal
st=mc_sfb(sb,Slot_length,prototype_filter,Carrier_number,SubCarrier_first,SubCarrier_last,Sampling_factor,Filter_length);
% Channel
Signal_length=Sampling_factor*(Slot_length-1)+Filter_length+delay(Path_number); % Length of multicarrier baseband signal
CH_Data = MultiCHannel(Path_Gain,Fc,V,Tc,Signal_length,Time_Begin,Phase);
Time_Begin = Time_Begin+Signal_length;
doas=rand(1,Path_number)*pi*2;
delayS=delay;
delayS(1:2)=delay(1:2)+floor(rand(1,2)*18);
for p=1:Path_number
ss(p,:)=[zeros(1,delayS(p)) st zeros(1,delayS(Path_number)-delayS(p))];
end
for na=1:Antenna_number
Sm(na,:)=sum(ss.*(diag(exp(-j*(na-1)*doas))*CH_Data)); % The transmitted signal is passed through multipath channel
end
% Add Gauss noise
Rm=awgn(Sm,SNR);%-10*log10(Spread_factor/Code_channel)-10*log10(Sampling_factor/Carrier_number_used),'measured');
%SNR_tmp=10*log10(sum(sum(abs(Rm.^2)))/sum(sum(abs((Rm-Sm).^2))))
% plot(20*log10(abs(fft(Sm(1,:)))))
% pause
% Receiver
% Receiver:Separate the received mulicarrier signal into subcarrier signals
for na=1:Antenna_number
rs(na,:,:)=mc_afb(Rm(na,:),Slot_length,prototype_filter,Carrier_number,SubCarrier_first,SubCarrier_last,Sampling_factor,Oversampling_factor,Filter_length);
end
% pause
% Receiver: Process each subcarrier separately
for nc=1:Carrier_number_used
tmp=reshape(rs(:,nc,:),Antenna_number,2*Slot_length);
R=SC_sync(tmp,Subslot_length,Subslot_number,Pilot_sequence,rcflt3);
% pause
% R=ones(4,1)*sb(nc,:);
% Receiver: Channel estimation
Index_R=Gaurd_length;Fades=zeros(Antenna_number,Path_number*(Subslot_number+1));Index_Fades=0;Noise_variance=[];
for kk=1:Subslot_number+1
Tmp_RP=R(:,Index_R+(1:Pilot_length));
Tmp_Fades=Tmp_RP*Pilot_matrix'/Pilot_length;
Fades(:,Index_Fades+(1:Path_number))=Tmp_Fades(:,1:Path_number);
Tmp_Noise = R(:,Index_R+(1:Pilot_length))-Tmp_Fades(:,1:Path_number)*Pilot_matrix;
Nv=sum(sum(abs(Tmp_Noise.*Tmp_Noise)))/Pilot_length/Antenna_number; % Estimate of noise variance
Noise_variance=[Noise_variance Nv];
Index_R=Index_R+Subslot_length;
Index_Fades=Index_Fades+Path_number;
end
% Receiver: Equalization in DFT domain
Index_R=Gaurd_length+Pilot_length; Index_Fades=0;R_EQ=[];
for kk=1:Subslot_number
Tmp_Fades=(Fades(:,Index_Fades+(1:Path_number))+Fades(:,Index_Fades+Path_number+(1:Path_number)))/2;
Tmp_Nv=(Noise_variance(kk)+Noise_variance(kk+1))/2;
RM=R(:,Index_R+(1:Subslot_length));
R_DFT=fft(conj(RM)');
H_DFT=fft(conj([Tmp_Fades zeros(Antenna_number,Subslot_length-Path_number)])');
Tmp_R_EQ=conj(ifft(sum(R_DFT.*conj(H_DFT),2)./(sum(H_DFT.*conj(H_DFT),2)+Tmp_Nv)))';
R_EQ=[R_EQ Tmp_R_EQ(1:SubslotData_length)];
Index_Fades=Index_Fades+Path_number;
Index_R=Index_R+Subslot_length;
end
RR=reshape(Walsh'*reshape(R_EQ.*conj(PN),Symbol_number_slot,Spread_factor)',1,SlotData_length); % with interleaving
%RR=reshape(Walsh'*reshape(R_EQ.*conj(PN),Spread_factor,Symbol_number_slot),1,SlotData_length); % without interleaving
Dem_signal(nc,sn*code_SlotL+(1:code_SlotL))=reshape([real(RR);imag(RR)],1,code_SlotL);
%Dem_signal(nc,sn*code_SlotL+(1:code_SlotL))=reshape([real(RR); abs(real(RR))-2/sqrt(10);imag(RR); abs(imag(RR))-2/sqrt(10)],1,code_SlotL);
end
end
for nc=1:Carrier_number_used
Dem_signal(nc,:)=reshape(reshape(Dem_signal(nc,:),code_L/Subslot_number,Subslot_number)',1,code_L);
% [x,qcode]=quantiz(sqrt(2)*DeQpsk_signal(nc,:),[-.75 -.5 -.25 0 .25 .5 .75],[7,6,5,4,3,2,1,0]);
% decoded=vitdec(qcode,trel,tblen,'cont','soft',3);
decoded=vitdec(Dem_signal(nc,:),trel,tblen,'cont','unquant');
errors=errors+sum(abs(decoded(InputN*tblen+1:end)-msg(nc,1:msg_L)));
end
errors
ber(log2(Antenna_number)+1,SNR-SNR1+1)=errors/k/msg_L/Carrier_number_used;
ber(log2(Antenna_number)+1,1:SNR-SNR1+1)
if (errors>200 & k>10)
break;
end
end
if ber(log2(Antenna_number)+1,SNR-SNR1+1)<1.0*10^(-6)
break;
end
end
save ber_QPSK200v_1 ber
end
semilogy(SNR1:SNR2,ber(:,1:SNR2-SNR1+1)')
grid
xlabel('SNR of Received Signal(in dB)')
ylabel('Bit Error Rate')
pause(0.2)
save ber_QPSK200v_1 ber
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