Web Reference: Dec 14, 2025 ยท Rectangular pulse function | Complex Exponential | Signals & Systems | Lec - 08 Education 4u 953K subscribers Subscribe The rectangular function is an idealized low-pass filter, and the sinc function is the non-causal impulse response of such a filter. Dual of rule 12. Shows that the Gaussian function exp( - at2) is its own Fourier transform. For this to be integrable we must have Re(a) > 0. It is very simple to implement a straight DFT algorithm in Python, but the FFT algorithm is, by far, more efficient .
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