Hi Rob 1985, currently doing this question myself and have got as far as basically stating if the waveform is Odd or Even and which coefficients relate to it. Also stating the F.S for the waveforms from the appendix in lesson 4. but yes the lessons don't really give much help.rob1985 said:
Fourier analysis is a mathematical technique used to decompose a complex waveform into its individual sinusoidal components. It is named after the French mathematician and physicist Joseph Fourier.
Fourier analysis is important because it allows us to understand and analyze complex waveforms, such as sound waves and electrical signals. It is widely used in many fields, including physics, engineering, and signal processing.
Fourier analysis works by representing a complex waveform as a sum of sine and cosine functions of different frequencies and amplitudes. This is done using a mathematical tool called the Fourier transform.
From Fourier analysis, we can learn about the different frequencies present in a waveform, their amplitudes, and how they contribute to the overall shape of the waveform. This information can help us understand and manipulate the waveform for various applications.
Fourier analysis has many applications, including signal processing, image processing, data compression, and solving differential equations. It is also used in fields such as music and speech recognition, astronomy, and medical imaging.