Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case

@article{Blow2001HypercomplexSN,
  title={Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case},
  author={Thomas B{\"u}low and Gerald Sommer},
  journal={IEEE Trans. Signal Processing},
  year={2001},
  volume={49},
  pages={2844-2852}
}
The construction of Gabor’s complex signal—which is also known as the analytic signal—provides direct access to a real one–dimensional (1-D) signal’s local amplitude and phase. The complex signal is built from a real signal by adding its Hilbert transform—which is a phase-shifted version of the signal—as an imaginary part to the signal. Since its introduction, the complex signal has become an important tool in signal processing, with applications, for example, in narrowband communication… CONTINUE READING

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