1. Signals Processing Second Meeting

2. Fourier's theorem: Analysis Fourier analysis is the process of analyzing periodic non-sinusoidal waveforms in order to determine their component sinewaves. Fourier analysis generally involves fairly advanced mathematics It is simply a matter of looking at each term in the series of additions and interpreting it as one of the component sinewaves a+b+c 

3. Fourier frequency spectrum A frequency spectrum can show the amplitude, phase or power of the components of a waveform. For periodic signals, the frequency spectrum is always a line spectrum. Video

4. Fourier spectral : periodic waves y = 2 sin 2000 πt. y = 2 cos 2000 πt A cosine wave can be regarded as a sine wave shifted in phase by a quarter of a cycle A square wave part of an infinite, non- sinusoidal waveform with a fundamental frequency of 1 kHz. sin wave cos wave square wave

5. Square Wave The infinite extent of the spectrum results from the corners on the square waveform. These corners are assumed to be perfectly sharp The more we add, the sharper the corner With only the first five harmonic,

6. Power Spectrum :Line Power Spectrum Periodic waveforms, which have discrete amplitude spectra Adding the heights = the total average power Unlike an amplitude spectrum, because of cancellation between out-of-phase components

7. Have a nice Eid