CHAPTER 2: FOURIER SERIES AND APPLICATIONS
In Chapter 2, students will be introduced with Fourier series which is used to represent a function (Mathematically) as the sum of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a set of simple oscillating functions, namely sines and cosines.
Students are required to express the signal in term of cosine form or exponential form. Then, students need to know how to sketch the single sided or double sided frequency spectrum of the signal. before that, students need to understand how to find the Fourier coefficient based on the different types of waveform. It is easy to use table to calculate the Fourier coefficient.
Student also need to know how to determine the amplitude of the spectrum and their respective phase from the signal expression in Fourier series. Fourier series also can be applied in electrical circuit analysis.
Before be able to perform all mentioned above, students need to master basic math especially trigonometry and can understand how to calculate important properties of a signal such as frequency, period, and phase.
In Summary, this topics will be covered in Chapter 2:
Signal Expression
Time Domain Signal
Frequency Domain Signal
Complex exponential representation
Fourier Series - Periodic Signal
Trigonometric & exponent.
Symmetrical signals.
Average value signal.
Parseval’s theorem.
Application of Fourier Series in an electrical circuit.
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