Task: x(t) y(t) h(t) Figure 1(a) Function (1) Function (1) 3 25 2.5 2! 1.5 1.5 x) 0.5 0.5 -0.5 -0.5) -1 Figure 1(b) Figure 1(C) For the system of Figure 1(a), the input signal is x(t), the output signal is y(t) and the impulse response is h(t). The input signal and the impulse response are shown in Figure 1(b) and Figure 1(C) respectively. (1) Obtain the mathematical equation for signals xt) and h(t) in the form of step unit. (ii) Develop the MATLAB program to generate signals as shown in Figure 1(b) and Figure 1(C) and plot the signals. (iii) By calculation determine the additional of both signals z(t) = x(t) + h(t) and verify by using MATLAB. (iv) By calculation, evaluate the convolution result, y(t) = x(0)*h(t). (v) Verify your answer obtained in (iv) by using MATLAB programming