Answers to Worksheet 2

Contents

Answers to Worksheet 2#

Consider a signal

\begin{array}{r} x = f (t) = {\begin{array}{c} 0 : t < - 1 \\ t + 1 : - 1 \leq t \leq 1 \\ 0 : t > 1 \end{array} \end{array}

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 $- 2 f (- t + 2)$ 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.