Web Reference: The self convolution of the dis- continuous rectangular function results in the triangular function, a piecewise defined spline that is continuous, but not continuously differentiable. From the magnitude spectrum, it is clear that the majority of the energy of the signal is contained in the main lobe. The main lobe becomes narrower with the increase in the width of the rectangular pulse. The phase spectrum of the rectangular function is an odd function of the frequency (ω). Mar 25, 2026 · The rectangle function Pi (x) is a function that is 0 outside the interval [-1/2,1/2] and unity inside it. It is also called the gate function, pulse function, or window function, and is defined by Pi (x)= {0 for |x|>1/2; 1/2 for |x|=1/2; 1 for |x|
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