diff options
Diffstat (limited to 'macros')
-rw-r--r-- | macros/tf2sos.sci | 83 |
1 files changed, 59 insertions, 24 deletions
diff --git a/macros/tf2sos.sci b/macros/tf2sos.sci index 7570707..ad7f10d 100644 --- a/macros/tf2sos.sci +++ b/macros/tf2sos.sci @@ -1,35 +1,70 @@ -function [sos,varargout] = tf2sos (b, a) +function [sos,g] = tf2sos (B, A) //This function converts direct-form filter coefficients to series second-order sections. -//Calling Sequence +//Calling Sequence: //[sos] = tf2sos (b, a) //[sos, g] = tf2sos (b, a) -//Parameters +//Parameters: //b: matrix of real numbers //a: matrix of real numbers -//Description -//This is an Octave function. +//Description: //This function converts direct-form filter coefficients to series second-order sections. //The input parameters b and a are vectors specifying the digital filter H(z) = B(z)/A(z). //The output is the sos matrix and the overall gain. //If there is only one output argument, the overall filter gain is applied to the first second-order section in the sos matrix. -//Examples +//Examples: //tf2sos([1,2,3,4,5,6],2) //ans = -// 0.50000 0.80579 1.07239 1.00000 0.00000 0.00000 -// 1.00000 -1.10337 1.87524 1.00000 0.00000 0.00000 -// 1.00000 1.49180 -0.00000 1.00000 0.00000 0.00000 - -funcprot(0); -rhs = argn(2) -lhs = argn(1) - -if(rhs~=2) -error("Wrong number of input arguments.") -end - select(lhs) - case 1 then - sos = callOctave("tf2sos",b,a) - case 2 then - [sos,g] = callOctave("tf2sos",b,a) - end -endfunction +// 0.50000 0.80579 1.07239 0.00000 0.00000 1.00000 +// 1.00000 -1.10337 1.87524 0.00000 0.00000 1.00000 +// 1.00000 1.49180 -0.00000 0.00000 1.00000 0.00000 + + funcprot(0); + if (nargin() ~= 2) then + error("Wrong number of input arguments."); + end + S = syslin([], inv_coeff(flipdim(B(:)', 2)), inv_coeff(flipdim(A(:)', 2))); + [z,p,k] = tf2zp(S); + if (nargout() < 2) + sos = clean(zp2sos(z,p,k)); + else + [sos,g] = clean(zp2sos(z,p,k)); + end + +endfunction + +//tests: +//assert_checkerror("tf2sos(1)", "Wrong number of input arguments."); +//assert_checkerror("tf2sos(1, 2, 3)", "Wrong number of input arguments."); + +//A = [-7 -12]; +//B = [-1 -7]; +//assert_checkequal(tf2sos(A, B), [7 12 0 1 7 0]); + +//A = [1 2; 3 4]; +//B = [3 2; 1 4]; +//assert_checkalmostequal(tf2sos(A, B), [0.3333 0.0679 0.4768 1 -0.6667 1.3333; 1 2.7963 0 1 1 0], 5*10^-4); + +//A = [1 1 1 1]; +//B = [-1 -1; -1 -1]; +//assert_checkalmostequal(tf2sos(A, B), [-1 0 -1 1 0 1; 1 1 0 1 1 0], 100*%eps); + +//b = [1, 1]; +//a = [1, 2]; +//expected_sos = [1, 1, 0, 1, 2, 0]; +//sos = tf2sos(b, a); +//assert_checkalmostequal(sos, expected_sos, %eps); + +//b = [1, 2, 2]; +//a = [1, -1, 1]; +//expected_sos = [1, 2, 2, 1, -1, 1]; +//sos = tf2sos(b, a); +//assert_checkalmostequal(sos, expected_sos, 100*%eps); + +//b = [1, 1, 1, 1]; +//a = [1, 1, 1, 1]; +//expected_sos = [ +// 1, 0, 1, 1, 0, 1; +// 1, 1, 0, 1, 1, 0 +//]; +//sos = tf2sos(b, a); +//assert_checkalmostequal(sos, expected_sos, 100*%eps); |