Topic: Signals and Systems
A periodic function of half wave symmetry is necessarily
- A. an even function
- B. an odd function
- C. neither odd nor even
- D. both odd and even
Answer: C. neither odd nor even
Explanation: It is possible that a periodic function with half-wave symmetry (where $x(t) = -x(t \pm T/2)$) is neither purely even nor purely odd. It simply means that its Fourier series will only contain odd harmonics, regardless of whether it exhibits even or odd symmetry overall.