"Linear Equation Solver using CMOS Technology" - Microelectronic ...

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end;end;%% Generate txtfile% here a copy-paste template for VHDL is preparedAtxt='(';btxt='(';xtxt='(';for i=1:Nfor j=1:Nif (A(i,j)==1)Atxt=[Atxt '''1'','];elseAtxt=[Atxt '''0'','];end;end;if (b(i)==1)btxt=[btxt '''1'','];elsebtxt=[btxt '''0'','];end;if (X(i)==1)xtxt=[xtxt '''1'','];elsextxt=[xtxt '''0'','];end;if i~=NAtxt=[Atxt char(10)];end;end;Atxt(length(Atxt))=')';btxt(length(btxt))=')';xtxt(length(xtxt))=')';Atxtbtxtxtxt%% solve gaussian style% Here the equation system is solved once, to check if there are multiple% solutionsAAA=A;BBB=b;for j=1:N % for each rowif (AAA(j,j)==0) %if the first element of the row is not 1, swap rowsfor K=j+1:Nif (AAA(K,j)==1)Temp=AAA(K,:);AAA(K,:)=AAA(j,:);AAA(j,:)=TempTemp2=BBB(K);BBB(K)=BBB(j);BBB(j)=Temp2break;end;end;62
if(K==N) %if you cannot find a 1 in the whole columns, there aremultiple solutionserror('Do not use these values, there is no single uniquesolution!');end;end;for i = j+1:N %use gauss to remove all other 1s in the column to movetowards triangle shapeif (AAA(i,j)==1)AAA(i,:)=mod(AAA(j,:)+AAA(i,:),2);BBB(i)=mod(BBB(i)+BBB(j),2);end;end;end;%check if the last row is zero onlyif (sum(AAA(end,:))==0)error('Do not use these values, there is no single unique solution!');end;%go from triangular shape to diagonal elements only shapefor j=N:-1:2for i = j-1:-1:1if (AAA(i,j)==1)AAA(i,:)=mod(AAA(j,:)+AAA(i,:),2);BBB(i)=mod(BBB(i)+BBB(j),2);end;end;end;%BBB holds the solution for X here63
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AcknowledgementsI would like to tha
Page 5 and 6:
A1.3. XOR Cell ....................
Page 7 and 8:
Figure 44. Schematic of DFF gate ..
Page 9 and 10:
Figure 2. Schematic of three LSFRs
Page 11 and 12: 2.1. Digital Linear Equation Solver
Page 13 and 14: 2.1.2. Revised DesignIn order to pr
Page 15 and 16: 2.1.3. Final DesignThe timing of th
Page 17 and 18: Figure 7. Schematic of the Final So
Page 19 and 20: After verifying the correct operati
Page 21 and 22: 3.1.2. Revised DesignAs mentioned b
Page 23 and 24: Figure 11. CADENCE Schematic of Rev
Page 25 and 26: Figure 12. CADENCE Schematic of the
Page 27 and 28: 4 Implementation Results4.1. Digita
Page 29 and 30: Figure 15. MODELSIM Output waveform
Page 31 and 32: Figure 19. CADENCE Output waveforms
Page 39 and 40: Figure 32. Output waveforms_6 for t
Page 41 and 42: Figure 36. Output waveforms_8 for t
Page 43 and 44: 5 Further Improvements and Comments
Page 45 and 46: 7 References1 - "Encryption" , Data
Page 47 and 48: A1.2. AND CellFigure 40. Schematic
Page 49 and 50: A1.4. DLATCH CellFigure 43. Schemat
Page 51 and 52: A1.6. Input BuffersFigure 45. Schem
Page 53 and 54: A1.7.2. Simulation Setup for the Re
Page 55 and 56: A2 VHDL CodesA2.1.Initial Solver (4
Page 57 and 58: Xout (2)
Page 59 and 60: A2.2.2.GenSolver4_tb.vhdAs mentione
Page 61: endcountfclose(fid);endelsextxt=[xt
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