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roots R(2) +…+-—+k(s) P(1)s-P(2) P(n) Vectors B and a specify the coefficients of the numerator and denominator polynomials in descending powers of s. The residues are returned in the column vector r, the pole locations in column vector P, and the direct terms in row vector K. The number of poles is n= length(A)-1 = length(r) length(P). The direct term coefficient vector is empty if length(B)< length(A), otherwise length(K)=length(B)-length (A)+l If Pg=.=P(+m-D)is a pole of multplicity m, then the expansion includes terms of the form R(〔+1) R(〔+m-1) s-P(j(s-P(j)^2(s-P()^ B, A=RESIDUE(R, P, K), with 3 input arguments and 2 output arguments, converts the partial fraction expansion back to the polynomials with coefficients in B and a 例3:对(3x4+2x3+5x2+4x+6)(x5+3x4+4x3+2x2+7x+2)做部分分式展 开 a=|13427 2l; b=32546 Ir,s, k]=residue(b, a) 1.1274+1.1513i 1.1274-1.1513i 0.0232-007221 0.0232+0.0722i 0.7916roots, B(s) R(1) R(2) R(n) ---- = -------- + -------- + ... + -------- + K(s) A(s) s - P(1) s - P(2) s - P(n) Vectors B and A specify the coefficients of the numerator and denominator polynomials in descending powers of s. The residues are returned in the column vector R, the pole locations in column vector P, and the direct terms in row vector K. The number of poles is n = length(A)-1 = length(R) = length(P). The direct term coefficient vector is empty if length(B) < length(A), otherwise length(K) = length(B)-length(A)+1. If P(j) = ... = P(j+m-1) is a pole of multplicity m, then the expansion includes terms of the form R(j) R(j+1) R(j+m-1) -------- + ------------ + ... + ------------ s - P(j) (s - P(j))^2 (s - P(j))^m [B,A] = RESIDUE(R,P,K), with 3 input arguments and 2 output arguments, converts the partial fraction expansion back to the polynomials with coefficients in B and A. 例 3:对 (3x4+2x3+5x2+4x+6)/(x5+3x4+4x3+2x2+7x+2) 做部分分式展 开 a=[1 3 4 2 7 2]; b=[3 2 5 4 6]; [r,s,k]=residue(b,a) r = 1.1274 + 1.1513i 1.1274 - 1.1513i -0.0232 - 0.0722i -0.0232 + 0.0722i 0.7916 s =
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