Question
What technique shows that a square wave is made up of a sine wave and its odd harmonics?
Answer Options
- A) Fourier analysis
- B) Vector analysis
- C) Numerical analysis
- D) Differential analysis
Correct Answer: A
Explanation
A square wave is a non-sinusoidal waveform, and the fundamental challenge in analyzing it is to understand its composition in terms of frequency. The goal is to determine the individual sine wave frequencies (the fundamental and harmonics) that combine to create the complex square shape.
Fourier analysis is the mathematical technique used to show that any complex, repetitive waveform (like a square wave or sawtooth wave) is made up of a fundamental sine wave component and a series of harmonic sine wave components. Specifically, it shows that a square wave is composed of the fundamental frequency plus all of its odd harmonics (third, fifth, seventh, etc.), with amplitudes decreasing proportionally to the harmonic number.
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