Question

Can you please show all the steps to arrive to the equations D_ZOH(z) and D_TOTAL(z)?

Suppose that a discrete-time signal x(n) is processed by the system with transfer function 0.01 before sent to a ZOH at 100Hz and then a continuous time filter with transfer Нpт(2) z-0.99 function HcT(s) 1 vlDetemine the DT transfer function of the system when the ) output is also sampled at 100Hz The sampled output will be given by the ZOH equivalent transfer function of H_CT with input as processed by H_DT. We find the discretized H_CT by finding its step response, sampling it and taking z-transforms 4 z1.62e - 4 z2-1.957z + 0.958 1.64e re DzoH(z) Z The overall transfer function is (D_ZOH) x (H_DT) 1.64e 6 z 1.62e - 6 DTOTAL(z) 3 Z 2.947 z2 2.895 z 0.948

Answer 1

Given HeT S+Co.3S 1-2) sCstCo 35t o-4286 + S S 10 -F -1ot l3 u)- -4286 e u(t), K/ico K u(x) 100 -14286 hT) DO 4286 0.4236 C0.1672). obtain Z-Tsams (1- 1 4286 o4286 -) + 1- o.9q 1- 0.4612 (-)C ooo 2219 +0.00Olo01 -2.9512 +2.9152-0.9575 O 000 221z o oo01 o0 2-.5z0.5s DIOTA2)H. Doh2) -2.9412+ 2.252-o.48