>> a1=tf({[1],[2];[3],[4]},{[1 3],[1 4];[2 3],[1 1]}); a2=a1*a1; a3=a1*a2; a4=a1*a3; a5=a1*a4; >> a1 a1 = From input 1 to output... 1 1: ----- s + 3 3 2: ------- 2 s + 3 From input 2 to output... 2 1: ----- s + 4 4 2: ----- s + 1 Continuous-time transfer function. >> a2 a2 = From input 1 to output... 8 s^2 + 47 s + 66 1: ------------------------------------- 2 s^4 + 23 s^3 + 96 s^2 + 171 s + 108 30 s^2 + 123 s + 117 2: ----------------------------------- 4 s^4 + 28 s^3 + 69 s^2 + 72 s + 27 From input 2 to output... 10 s^2 + 66 s + 104 1: --------------------------------- s^4 + 12 s^3 + 51 s^2 + 88 s + 48 38 s^2 + 188 s + 198 2: ----------------------------------- 2 s^4 + 15 s^3 + 36 s^2 + 35 s + 12 Continuous-time transfer function. >> a3 a3 = From input 1 to output... 152 s^7 + 2772 s^6 + 21282 s^5 + 89111 s^4 + 219606 s^3 + 318249 s^2 + 250884 s + 82944 1: ---------------------------------------------------------------------------------- 8 s^10 + 204 s^9 + 2298 s^8 + 15041 s^7 + 63267 s^6 + 178470 s^5 + 341496 s^4 + 437157 s^3 + 357939 s^2 + 169128 s + 34992 576 s^7 + 9540 s^6 + 66408 s^5 + 251745 s^4 + 561051 s^3 + 734913 s^2 + 523989 s + 156978 2: ---------------------------------------------------------------------------------- 16 s^10 + 336 s^9 + 3096 s^8 + 16480 s^7 + 56121 s^6 + 127791 s^5 + 197154 s^4 + 203634 s^3 + 134865 s^2 + 51759 s + 8748 From input 2 to output... 96 s^7 + 1878 s^6 + 15334 s^5 + 67486 s^4 + 172098 s^3 + 252820 s^2 + 196672 s + 62016 1: ---------------------------------------------------------------------------------- 2 s^10 + 53 s^9 + 615 s^8 + 4102 s^7 + 17356 s^6 + 48501 s^5 + 90347 s^4 + 110480 s^3 + 84768 s^2 + 36864 s + 6912 364 s^7 + 6514 s^6 + 48384 s^5 + 192700 s^4 + 442804 s^3 + 584994 s^2 + 410448 s + 117792 2: ---------------------------------------------------------------------------------- 4 s^10 + 88 s^9 + 837 s^8 + 4523 s^7 + 15362 s^6 + 34278 s^5 + 50977 s^4 + 50023 s^3 + 31092 s^2 + 11088 s + 1728 Continuous-time transfer function. >> a4 a4 = From input 1 to output... 11648 s^18 + 520448 s^17 + 1.089e07 s^16 + 1.417e08 s^15 + 1.286e09 s^14 + 8.633e09 s^13 + 4.445e10 s^12 + 1.794e11 s^11 + 5.752e11 s^10 + 1.476e12 s^9 + 3.039e12 s^8 + 5.005e12 s^7 + 6.545e12 s^6 + 6.702e12 s^5 + 5.256e12 s^4 + 3.045e12 s^3 + 1.227e12 s^2 + 3.07e11 s + 3.586e10 1: ------------------------------------------------------------------------------------ 128 s^22 + 6848 s^21 + 173280 s^20 + 2.758e06 s^19 + 3.099e07 s^18 + 2.613e08 s^17 + 1.717e09 s^16 + 9.009e09 s^15 + 3.838e10 s^14 + 1.343e11 s^13 + 3.883e11 s^12 + 9.322e11 s^11 + 1.86e12 s^10 + 3.08e12 s^9 + 4.214e12 s^8 + 4.73e12 s^7 + 4.306e12 s^6 + 3.126e12 s^5 + 1.765e12 s^4 + 7.47e11 s^3 + 2.226e11 s^2 + 4.163e10 s + 3.673e09 44160 s^18 + 1.899e06 s^17 + 3.825e07 s^16 + 4.79e08 s^15 + 4.18e09 s^14 + 2.7e10 s^13 + 1.336e11 s^12 + 5.186e11 s^11 + 1.599e12 s^10 + 3.946e12 s^9 + 7.81e12 s^8 + 1.237e13 s^7 + 1.556e13 s^6 + 1.533e13 s^5 + 1.157e13 s^4 + 6.454e12 s^3 + 2.506e12 s^2 + 6.042e11 s + 6.809e10 2: -------------------------------------------------------------------------------------- 256 s^22 + 12544 s^21 + 290304 s^20 + 4.221e06 s^19 + 4.325e07 s^18 + 3.323e08 s^17 + 1.988e09 s^16 + 9.485e09 s^15 + 3.672e10 s^14 + 1.166e11 s^13 + 3.061e11 s^12 + 6.666e11 s^11 + 1.206e12 s^10 + 1.812e12 s^9 + 2.249e12 s^8 + 2.29e12 s^7 + 1.892e12 s^6 + 1.247e12 s^5 + 6.403e11 s^4 + 2.465e11 s^3 + 6.688e10 s^2 + 1.14e10 s + 9.183e08 From input 2 to output... 1840 s^18 + 86504 s^17 + 1.896e06 s^16 + 2.575e07 s^15 + 2.424e08 s^14 + 1.68e09 s^13 + 8.874e09 s^12 + 3.651e10 s^11 + 1.186e11 s^10 + 3.059e11 s^9 + 6.281e11 s^8 + 1.023e12 s^7 + 1.313e12 s^6 + 1.307e12 s^5 + 9.881e11 s^4 + 5.467e11 s^3 + 2.085e11 s^2 + 4.892e10 s + 5.314e09 1: -------------------------------------------------------------------------------------- 8 s^22 + 444 s^21 + 11610 s^20 + 190177 s^19 + 2.189e06 s^18 + 1.882e07 s^17 + 1.254e08 s^16 + 6.637e08 s^15 + 2.836e09 s^14 + 9.887e09 s^13 + 2.832e10 s^12 + 6.691e10 s^11 + 1.305e11 s^10 + 2.097e11 s^9 + 2.767e11 s^8 + 2.974e11 s^7 + 2.575e11 s^6 + 1.766e11 s^5 + 9.369e10 s^4 + 3.7e10 s^3 + 1.024e10 s^2 + 1.768e09 s + 1.433e08 6976 s^18 + 316328 s^17 + 6.684e06 s^16 + 8.738e07 s^15 + 7.917e08 s^14 + 5.276e09 s^13 + 2.679e10 s^12 + 1.059e11 s^11 + 3.302e11 s^10 + 8.178e11 s^9 + 1.612e12 s^8 + 2.523e12 s^7 + 3.109e12 s^6 + 2.976e12 s^5 + 2.164e12 s^4 + 1.153e12 s^3 + 4.241e11 s^2 + 9.607e10 s + 1.009e10 2: -------------------------------------------------------------------------------------- 16 s^22 + 816 s^21 + 19560 s^20 + 293024 s^19 + 3.077e06 s^18 + 2.409e07 s^17 + 1.459e08 s^16 + 7.006e08 s^15 + 2.712e09 s^14 + 8.555e09 s^13 + 2.216e10 s^12 + 4.731e10 s^11 + 8.338e10 s^10 + 1.212e11 s^9 + 1.446e11 s^8 + 1.408e11 s^7 + 1.106e11 s^6 + 6.894e10 s^5 + 3.329e10 s^4 + 1.2e10 s^3 + 3.036e09 s^2 + 4.807e08 s + 3.583e07 Continuous-time transfer function. >> a5 a5 = From input 1 to output... 1.429e07 s^41 + 1.416e09 s^40 + 6.82e10 s^39 + 2.126e12 s^38 + 4.821e13 s^37 + 8.48e14 s^36 + 1.204e16 s^35 + 1.419e17 s^34 + 1.414e18 s^33 + 1.211e19 s^32 + 9.011e19 s^31 + 5.877e20 s^30 + 3.385e21 s^29 + 1.731e22 s^28 + 7.904e22 s^27 + 3.232e23 s^26 + 1.187e24 s^25 + 3.93e24 s^24 + 1.173e25 s^23 + 3.165e25 s^22 + 7.722e25 s^21 + 1.704e26 s^20 + 3.402e26 s^19 + 6.142e26 s^18 + 1.002e27 s^17 + 1.473e27 s^16 + 1.952e27 s^15 + 2.322e27 s^14 + 2.474e27 s^13 + 2.351e27 s^12 + 1.983e27 s^11 + 1.476e27 s^10 + 9.63e26 s^9 + 5.453e26 s^8 + 2.65e26 s^7 + 1.089e26 s^6 + 3.711e25 s^5 + 1.02e25 s^4 + 2.171e24 s^3 + 3.36e23 s^2 + 3.362e22 s + 1.632e21 1: --------------------------------------------------------------------------------------- 32768 s^46 + 3.588e06 s^45 + 1.913e08 s^44 + 6.62e09 s^43 + 1.671e11 s^42 + 3.282e12 s^41 + 5.219e13 s^40 + 6.908e14 s^39 + 7.763e15 s^38 + 7.52e16 s^37 + 6.353e17 s^36 + 4.725e18 s^35 + 3.116e19 s^34 + 1.834e20 s^33 + 9.678e20 s^32 + 4.6e21 s^31 + 1.976e22 s^30 + 7.689e22 s^29 + 2.718e23 s^28 + 8.746e23 s^27 + 2.564e24 s^26 + 6.859e24 s^25 + 1.675e25 s^24 + 3.738e25 s^23 + 7.619e25 s^22 + 1.419e26 s^21 + 2.411e26 s^20 + 3.739e26 s^19 + 5.283e26 s^18 + 6.792e26 s^17 + 7.929e26 s^16 + 8.385e26 s^15 + 8.011e26 s^14 + 6.889e26 s^13 + 5.311e26 s^12 + 3.652e26 s^11 + 2.225e26 s^10 + 1.193e26 s^9 + 5.576e25 s^8 + 2.245e25 s^7 + 7.669e24 s^6 + 2.179e24 s^5 + 5.01e23 s^4 + 8.952e22 s^3 + 1.166e22 s^2 + 9.85e20 s + 4.048e19 5.417e07 s^41 + 5.279e09 s^40 + 2.499e11 s^39 + 7.658e12 s^38 + 1.707e14 s^37 + 2.952e15 s^36 + 4.12e16 s^35 + 4.771e17 s^34 + 4.675e18 s^33 + 3.935e19 s^32 + 2.877e20 s^31 + 1.844e21 s^30 + 1.044e22 s^29 + 5.247e22 s^28 + 2.354e23 s^27 + 9.459e23 s^26 + 3.416e24 s^25 + 1.111e25 s^24 + 3.259e25 s^23 + 8.642e25 s^22 + 2.072e26 s^21 + 4.494e26 s^20 + 8.818e26 s^19 + 1.565e27 s^18 + 2.508e27 s^17 + 3.627e27 s^16 + 4.723e27 s^15 + 5.525e27 s^14 + 5.787e27 s^13 + 5.408e27 s^12 + 4.486e27 s^11 + 3.285e27 s^10 + 2.108e27 s^9 + 1.174e27 s^8 + 5.615e26 s^7 + 2.271e26 s^6 + 7.613e25 s^5 + 2.059e25 s^4 + 4.316e24 s^3 + 6.578e23 s^2 + 6.482e22 s + 3.1e21 2: --------------------------------------------------------------------------------------- 65536 s^46 + 6.881e06 s^45 + 3.517e08 s^44 + 1.166e10 s^43 + 2.821e11 s^42 + 5.305e12 s^41 + 8.077e13 s^40 + 1.023e15 s^39 + 1.1e16 s^38 + 1.02e17 s^37 + 8.24e17 s^36 + 5.86e18 s^35 + 3.695e19 s^34 + 2.078e20 s^33 + 1.048e21 s^32 + 4.759e21 s^31 + 1.953e22 s^30 + 7.258e22 s^29 + 2.45e23 s^28 + 7.527e23 s^27 + 2.107e24 s^26 + 5.381e24 s^25 + 1.255e25 s^24 + 2.672e25 s^23 + 5.198e25 s^22 + 9.237e25 s^21 + 1.498e26 s^20 + 2.218e26 s^19 + 2.991e26 s^18 + 3.67e26 s^17 + 4.089e26 s^16 + 4.128e26 s^15 + 3.765e26 s^14 + 3.092e26 s^13 + 2.276e26 s^12 + 1.494e26 s^11 + 8.699e25 s^10 + 4.456e25 s^9 + 1.99e25 s^8 + 7.656e24 s^7 + 2.5e24 s^6 + 6.792e23 s^5 + 1.493e23 s^4 + 2.553e22 s^3 + 3.182e21 s^2 + 2.572e20 s + 1.012e19 From input 2 to output... 141056 s^41 + 1.459e07 s^40 + 7.32e08 s^39 + 2.372e10 s^38 + 5.581e11 s^37 + 1.016e13 s^36 + 1.49e14 s^35 + 1.809e15 s^34 + 1.854e16 s^33 + 1.628e17 s^32 + 1.239e18 s^31 + 8.241e18 s^30 + 4.828e19 s^29 + 2.506e20 s^28 + 1.157e21 s^27 + 4.771e21 s^26 + 1.763e22 s^25 + 5.847e22 s^24 + 1.745e23 s^23 + 4.688e23 s^22 + 1.136e24 s^21 + 2.48e24 s^20 + 4.883e24 s^19 + 8.665e24 s^18 + 1.384e25 s^17 + 1.988e25 s^16 + 2.562e25 s^15 + 2.955e25 s^14 + 3.041e25 s^13 + 2.782e25 s^12 + 2.252e25 s^11 + 1.603e25 s^10 + 9.962e24 s^9 + 5.357e24 s^8 + 2.464e24 s^7 + 9.552e23 s^6 + 3.06e23 s^5 + 7.879e22 s^4 + 1.567e22 s^3 + 2.259e21 s^2 + 2.1e20 s + 9.44e18 1: --------------------------------------------------------------------------------------- 128 s^46 + 14528 s^45 + 801504 s^44 + 2.864e07 s^43 + 7.453e08 s^42 + 1.505e10 s^41 + 2.457e11 s^40 + 3.331e12 s^39 + 3.826e13 s^38 + 3.779e14 s^37 + 3.248e15 s^36 + 2.451e16 s^35 + 1.637e17 s^34 + 9.727e17 s^33 + 5.17e18 s^32 + 2.468e19 s^31 + 1.062e20 s^30 + 4.13e20 s^29 + 1.455e21 s^28 + 4.649e21 s^27 + 1.35e22 s^26 + 3.568e22 s^25 + 8.584e22 s^24 + 1.881e23 s^23 + 3.753e23 s^22 + 6.821e23 s^21 + 1.128e24 s^20 + 1.698e24 s^19 + 2.321e24 s^18 + 2.879e24 s^17 + 3.232e24 s^16 + 3.278e24 s^15 + 2.995e24 s^14 + 2.456e24 s^13 + 1.8e24 s^12 + 1.174e24 s^11 + 6.766e23 s^10 + 3.422e23 s^9 + 1.505e23 s^8 + 5.684e22 s^7 + 1.818e22 s^6 + 4.824e21 s^5 + 1.033e21 s^4 + 1.717e20 s^3 + 2.075e19 s^2 + 1.623e18 s + 6.163e16 534784 s^41 + 5.444e07 s^40 + 2.686e09 s^39 + 8.561e10 s^38 + 1.981e12 s^37 + 3.546e13 s^36 + 5.113e14 s^35 + 6.102e15 s^34 + 6.147e16 s^33 + 5.304e17 s^32 + 3.966e18 s^31 + 2.593e19 s^30 + 1.492e20 s^29 + 7.608e20 s^28 + 3.451e21 s^27 + 1.398e22 s^26 + 5.073e22 s^25 + 1.653e23 s^24 + 4.844e23 s^23 + 1.279e24 s^22 + 3.042e24 s^21 + 6.526e24 s^20 + 1.262e25 s^19 + 2.2e25 s^18 + 3.453e25 s^17 + 4.872e25 s^16 + 6.17e25 s^15 + 6.994e25 s^14 + 7.076e25 s^13 + 6.364e25 s^12 + 5.065e25 s^11 + 3.546e25 s^10 + 2.168e25 s^9 + 1.147e25 s^8 + 5.192e24 s^7 + 1.982e24 s^6 + 6.25e23 s^5 + 1.585e23 s^4 + 3.107e22 s^3 + 4.414e21 s^2 + 4.044e20 s + 1.793e19 2: --------------------------------------------------------------------------------------- 256 s^46 + 27904 s^45 + 1.478e06 s^44 + 5.065e07 s^43 + 1.264e09 s^42 + 2.447e10 s^41 + 3.825e11 s^40 + 4.965e12 s^39 + 5.457e13 s^38 + 5.156e14 s^37 + 4.237e15 s^36 + 3.056e16 s^35 + 1.949e17 s^34 + 1.106e18 s^33 + 5.613e18 s^32 + 2.557e19 s^31 + 1.05e20 s^30 + 3.894e20 s^29 + 1.308e21 s^28 + 3.985e21 s^27 + 1.103e22 s^26 + 2.779e22 s^25 + 6.37e22 s^24 + 1.33e23 s^23 + 2.53e23 s^22 + 4.382e23 s^21 + 6.909e23 s^20 + 9.909e23 s^19 + 1.291e24 s^18 + 1.527e24 s^17 + 1.635e24 s^16 + 1.582e24 s^15 + 1.379e24 s^14 + 1.08e24 s^13 + 7.558e23 s^12 + 4.707e23 s^11 + 2.593e23 s^10 + 1.254e23 s^9 + 5.272e22 s^8 + 1.906e22 s^7 + 5.836e21 s^6 + 1.484e21 s^5 + 3.046e20 s^4 + 4.852e19 s^3 + 5.627e18 s^2 + 4.224e17 s + 1.541e16 Continuous-time transfer function.