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Fourier Series - Coggle Diagram
Fourier Series
Definition : Method to break down any complex wave into a sum of these simple sine and cosine waves
Why Fourier Series Is Important?
It helps us analyze complex signals like sounds, electrical waves, or even images. In electrical engineering, it's useful to break down signals or voltages in
circuits into simpler parts to understand or manipulate them.
Key Point To Understand
Amplitude And Phase
Harmonics
Fundamental Frequency
Sine And Cosine Waves
Essential Elements To Understand
Combining Wave
Harmonics
Basic Wave (Sine And Cosine)
why electrical waves is complex?
Transient Behaviour
Signal Modulation in Communication
In communication systems (like radio or cell phones), electrical signals are modulated to carry information.This means the signal's amplitude, frequency, orphase gets changed over time, creating a more complex wave that combines different frequencies and patterns.
Non Sinusoidal Waveform
Inverters and converters (like in power electronics) often produce square waves or triangular waves, which are more complex than pure sine waves.
Harmonics and Distortion
Anytime an electrical system is powered by devices like transformers, motors, or rectifiers, the waveform gets distorted. These distortions are often caused by the non-linear behavior of the equipment, and they introduce harmonics (frequencies
that are multiples of the fundamental frequency), making the signal more complex.
Combination if Frequencies
A pure sine wave has a single frequency, but many electrical signals contain multiple frequencies at once