a) For a signal h(n)= {-1, 1, 2, 1, -1} ↑ Find the expression for the DTFT of the signal, i.e. derive H(w). What is the magnitude and what is the phase of H(w)? Hint: the expressions can be simplified quite a bit if you use symmetry (before deriving the magnitude/phase). b) Prove that the DTFT of an arbitrary even signal has a phase that is either 0 or rt (i.e. that the DTFT of such a signal is real). Hint: write DTFT as a sum of pairs of symmetric terms-then simplify

12 - When the unit step function is applied to the input of the control system given below, the peak time of the output signal is 0.59 s and the settlement time is 0.88 s. It is also known that the steady state error of the system is 10% for the same input. So what is the unknown K2 value in the transfer function? calculate.A) 5.7B) 4.9C) 3.7D) 7.3E) 6.4

Consider the real, frequency-domaln function Illustrated In the glven figure. |x(f)| -f If A = 1, = 95 kHz, and 2 = 105 kHz, graph the inverse CTFT of the given function. Please upload your response/solution using the controls below.

Solve it. And get 4 likes