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> Wouldn't this effectively make frequency 0? Yes! Letting the period length approach infinity, would make the lowest frequency (omega_0, also delta each other
by laszlokorte 3y ago
> Wouldn't this effectively make frequency 0?
Yes! Letting the period length approach infinity, would make the lowest frequency (omega_0, also delta each other frequencies) approach 0, effectively turning the discrete sum of the fourier series into an integral, turning the fourier series into the continous fourier transform.
- zoomablemind 3y ago> ...turning the fourier series into the continous fourier transform Yes, if talking about the Fourier transform. My understanding was that author proposed that "trick" in context of discrete series for bounded non-periodic functions x(t), y(t). Instead, what followed was more like an extension to periodic function.