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.