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A Brief and Simplified Analysis of Group Delay |
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Abstract: A brief analysis of group delay is presented. The analysis is based on the examination of the propagation of a signal (wave) composed of the sum of two waves of different frequency. The wave resulting from the sum of the two frequency components is shown to be a wave of a new frequency which is the average of the frequencies of the two components, with an amplitude envelope that oscillates at a frequency given by 1/2 the difference in the frequencies of the two components. When passed through a device that introduces frequency dependent phase shift, it is shown that the new wave is phase shifted by the an amount equal to the phase shift of the device at the new frequency while the amplitude envelope is delayed by the group delay at the new frequency. |
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Note: The definitions given at the beginning of this discussion are taken, in part, from Federal Standard 1037C: Glossary of Telecommunications Terms. |
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