Answers to Worksheet 2#
Consider a signal
\[\begin{split}x = f(t) = \left\{ {\begin{array}{*{20}{c}}
{0\;:\;t < - 1}\\
{t + 1\;:\; - 1 \le t \le 1}\\
{0\;:\;t > 1}
\end{array}} \right.\end{split}\]
Sketch this signal
plot the effect on this signal of applying the following basic signal operations
Amplitude scaling#
Time scaling#
Mirroring#
Time shifting - delay and advance#
Exercise#
We leave the solution of \(-2f(-t+2)\) as an exercise for the reader but note that it involves amplitude scaling, amplitude mirroring, time mirroring, and a time shift. Each operation can be performed in sequence in any order.