Classify signals into continuous-time vs discrete-time, periodic vs aperiodic, even vs odd, and energy vs power signals. Provide one mathematical example and sketch for each category.

Here are the detailed answers to questions 1 to 5.

1a) Classify signals into continuous-time vs discrete-time, periodic vs aperiodic, even vs odd, and energy vs power signals. Provide one mathematical example and sketch for each category.

• Continuous-time vs Discrete-time Signals:
  • Continuous-time signal: A signal $x(t)$ is continuous-time if it is defined for all real values of time $t$. It can take on any value over a continuous range of time.
    • Mathematical Example: $x(t) = \sin(2\pi t)$
    • Sketch: A smooth, unbroken curve.
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