- 4 Unit Step And Ramp Functions The Input Signal X T In Problem 2 Has The Following Piecewise Definition 0 T 2 0 5 1 (298.67 KiB) Viewed 42 times
question because i can't read that
4. Unit step and ramp functions The input signal x(t) in problem 2 has the following piecewise definition: 0 t< -2 -0.5.t -2 <t<0 x(t) ={ 0.5-1 0 < t < 2 2 < t < 4 0 t> 4. -1 Rewrite x(t) as a single algebraic expression that is a combination of unit step (i.e., u(t), u(t+2), 2 u(t-2), uſt-4) etc.) and ramp functions (i.e., r(t), 0.5 r(t+2), 0.5 r(t-2) etc.). i.e., the single algebraic expression will be of the form: x(t) = u(t+2) - 0.5 r(t+2) +____-.. NOTE: “If you intend to verify whether your final algebraic expression is correct using MATLAB, you can plot your algebraic expression for x(t), by replacing“???" in the code below, and comparing it with the input signal x(t) in problem 2. The code for defining a unit step u(t) and ramp r(t) function using a symbolic variable "t" is also included. close all; clear variables; clc; symst u(t) = heaviside(t); r(t) = t*u(t); x(t) = ??? figure;fplot(x(t),'b', 'LineWidth',4) grid on; xlabel('t');ylabel('x(t)');xlim([-6 6]);ylim([-1 1]); set(gca, 'XTick', ,-6:2:6, 'FontSize', 24)