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# How to interpret the weights f u the weights f u are

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How to Interpret the Weights F ( u ) The weights F ( u ) are complex numbers : Real part How much of a cosine of frequency u you need Imaginary part How much of a sine of frequency u you need Magnitude How much of a sinusoid of frequency u you need Phase What phase (time delay) that sinusoid needs to be at

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The Fourier Transform The Discrete Fourier Transform Periodic Signals For a periodic signal with period M units, all of the underlying frequencies must also repeat over the period M . So, each component frequency must be a multiple of the frequency of the periodic signal itself: 0 M , 1 M , 2 M , 3 M . . . There are no more than M

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