Small signals. In lecture 1 we mentioned several methods for determining the size of a signal.Intuition suggests that even though they are not the same, the measures shouldn't be toodifferent. After all, a small signal is a small signal, right? In this problem we explore thisissue. Consider a family of signals described by u(t)=\left\{\begin{array}{ll}

1 / \sqrt{d}, & 0 \leq t \leq d \\

0, & d

\end{array}\right. for 0 < t < 1, and periodic with period 1 (i.e., the signal repeats every second). Theparameter d, which satisfies 0 < d < 1, is called the duty cycle of the periodic pulse signal. Sketch the signal for a few values of d. What is its peak, RMS, and average-absolute value?As the duty-cycle d approaches 0, is the signal getting smaller or larger?