Patent Document ID: 20060010406
Application ID: 10889497
Patent Flag: 0

Claim One:
1. A method and verification of estimating crosstalk noise in coupled RLC interconnects with distributed line in nanometer integrated circuits, wherein the moment model of a distributed line Line j i comprising a serious of formulas as following: 
 I j,k i (0) =I j,k i (1) +J j,k i 
 V j,k i (1)= V j,k i (0)− R j i I j,k i (1)− E LM j,k i −E j,k i where J j , k ⁢ i = ⁢ ∑ n = 0 2 ⁢ ⁢ ( k - 1 ) ⁢ ⁢ α j , kn i n + 1 E LM j , k i = ⁢ L j i ⁢ I j , k - 1 ⁢ i 1 ⁡ ( 1 ) + ∑ M j , j 1 i , i 1 ∈ MM j ⁢ i ⁢ ⁢ M j , j 1 i , i 1 ⁢ I j 1 , k - 1 i 1 ⁡ ( 1 ) E j , k i = R j i ⁢ ∑ n = 0 2 ⁢ ⁢ ( k - 1 ) ⁢ ⁢ α j , kn i n + 2 + L j i ⁢ ∑ n = 0 2 ⁢ ⁢ ( k - 2 ) ⁢ ⁢ α j , ( k - 1 ) ⁢ ⁢ n i n + 2 + ∑ M j , j 1 i , i 1 ∈ MM j ⁢ i ⁢ ⁢ M j , j 1 ⁢ i , i 1 ⁢ ∑ n = 0 2 ⁢ ⁢ ( k - 2 ) ⁢ ⁢ α j 1 , ( k - 1 ) ⁢ ⁢ n ⁢ i 1 n + 2 and where α j , kn i = C jT ⁢ i ⁢ β j , ( k - 1 ) ⁢ ⁢ n ⁢ i - ∑ C j , j 1 i , i 1 ∈ CC j ⁢ i ⁢ ⁢ C j , j 1 ⁢ i , i 1 ⁢ β j 1 , ( k - 1 ) ⁢ ⁢ n ⁢ i 1 β j , k0 ⁢ i = V j , k ⁢ i ⁡ ( 0 ) β j , k1 ⁢ i = - R j i ⁡ ( I j , k ⁢ i ⁡ ( 1 ) + ∑ n = 0 m ⁢ ⁢ α j , kn i n + 1 ) - L j ⁢ i ⁢ ⁢ ( I j , k - 1 i ⁡ ( 1 ) + ∑ n = 0 m ⁢ ⁢ α j , ( k - 1 ) ⁢ ⁢ n ⁢ i n + 1 ) - ∑ M j , j 1 i , i 1 ∈ MM j ⁢ i ⁢ ( I j 1 , k - 1 ⁢ i 1 ⁡ ( 1 ) + ∑ n = 0 m ⁢ ⁢ α j 1 , ( k - 1 ) ⁢ ⁢ n ⁢ i 1 n + 1 ) β j , k ⁢ ⁢ ( n + 2 ) ⁢ i = 1 ( n + 1 ) ⁢ ⁢ ( n + 2 ) ⁢ ( R j i ⁢ α j , kn i + L j i ⁢ α j , ( k - 1 ) ⁢ ⁢ n ⁢ i + ∑ M j , j 1 i , i 1 ∈ MM j ⁢ i ⁢ ⁢ M j , j 1 ⁢ i , i 1 ⁢ α j 1 , ( k - 1 ) ⁢ ⁢ n i 1 ) , n ≥ 0 and where a. i represents tree T i ; b. n j i is the jth node in the tree T i , which is the far end of the line Line j i (x=1); c. F(n j i ) is the corresponding father node of n j i , which is the near end of the line Line j i (x=0); d. R j i , L j i , and C j i are the per-unit resistance, inductance, and capacitance of Line j i ; e. M j,j 1 i,j 1 are the total coupling capacitance and mutual inductance between Line j i and Line j 1 i 1 ; f. C jT i =C j i +Σ CCdi j i C j,j 1 i,i 1 , is the sum of the grounding capacitance and the coupling ones on Line j i ; g. CC j i and MM j i the set of total coupling capacitance and mutual inductance corresponding to Line j i ; h. V j i (x,s), I j i (x,s), and I C j i (x,s) be the transfer functions of the voltage, current, and capacitive current at coordinate x on Line j i ; i. V j,k i (x), I j,k i (x), and I C j,k i (x) are the kth-order moments of V j i (x,s), I j i (x,s), and I C j i (x,s); j. α j,kn i is the nth-order coefficient of the Taylor series of I C j,k i (x), that is, I C j , k ⁢ i ⁡ ( x ) = ∑ n = 0 m ⁢ ⁢ α j , kn ⁢ i ⁢ ⁢ x n ; and k. β j,kn i is the nth-order coefficient of the Taylor series of V j,k i (x), that is, V j , k ⁢ i ⁡ ( x ) = ∑ n = 0 p ⁢ ⁢ β j , kn ⁢ i ⁢ ⁢ x n .