Phase, Polarity, and Delay or Why a Loudspeaker Crossover Is Not a Time Machine

Dash I, Fricke F. Phase, Polarity, and Delay or Why a Loudspeaker Crossover Is Not a Time Machine. In: AES Convention 128. Audio Engineering Society; 2010. Paper 8078. Available from: https://aes.org/publications/elibrary-page/?id=15375

@inproceedings{Dash2010_15375,
  author = {Dash, Ian and Fricke, Fergus},
  title = {{Phase, Polarity, and Delay or Why a Loudspeaker Crossover Is Not a Time Machine}},
  booktitle = {AES Convention 128},
  note = {Paper 8078},
  year = {2010},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=15375}
}

TY  - CPAPER
TI  - Phase, Polarity, and Delay or Why a Loudspeaker Crossover Is Not a Time Machine
AU  - Dash, Ian
AU  - Fricke, Fergus
T2  - AES Convention 128
M1  - Paper 8078
PY  - 2010
DA  - 2010/05/06
UR  - https://aes.org/publications/elibrary-page/?id=15375
PB  - Audio Engineering Society
LA  - en
AB  - Phase delay and group delay functions are well known in lumped system theory but they are not well understood, particularly in the context of non-minimum phase lumped systems. This paper presents four paradoxes that arise from an overly-literal interpretation of the phase delay function. The paradoxes are very simply illustrated using the example of a first order loudspeaker crossover. A new system response model is presented to resolve these paradoxes. The model is extended to higher order systems and to non-minimum phase systems. Applications and implications for system analysis are discussed.
ER  -