A Comparison of Bell-Shape Pulses

Sorin Pohoaţă, Nicolae Dumitru Alexandru, and Adrian Popa


Digital Signal Processing, Spectral Analysis, Gaussian Pulse, Ultra-Wideband


Gaussian pulses are widely used in communications, as they show maximum steepness of transition with no overshoot and minimum group delay. The Gaussian function is a theoretical concept and is not physically realizable. So, it should be approximated using various functions. This paper undertakes a comparative analysis based on relative error of approximation and signal spectrum. This is performed taking into account four pulses that are used to approximate the Gaussian pulse. Two pulse shapes were reported in the literature in the last years and other two that result from the convolution of two triangles or of two raised cosine pulses were recently proposed by the authors.

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