On the Effect of Interpolation Technique in the Computation of Unwrapped Phase

Authors

  • B. Suresh Kumar Amity Institute of Information Technology, Amity University Rajasthan, Jaipur
  • Venkata Rao Selamneni Amity Institute of Information Technology, Amity University Rajasthan, Jaipur
  • Deepshikha Bhargava Amity Institute of Information Technology, Amity University Rajasthan, Jaipur
  • Anita Arya Amity Institute of Information Technology, Amity University Rajasthan, Jaipur

Abstract

The reliable computation of the unwrapped phase of the discrete Fourier transform of one dimensional signal with the least computational complexity is an open problem in the field of Homomorphic Signal Processing. Interpolating the phase derivative curve before performing adaptive numerical integration is an efficient and reliable technique for the computation of unwrapped phase. The effect of various interpolation schemes on the accuracy and computational complexity achieved in the computation of unwrapped phase has been explored in this paper. We have compared various interpolation schemes and found that spline interpolation is accurate but computationally intensive and piecewise cubic Hermite interpolation scheme is accurate and have least computational intensity among all the interpolation schemes studied. Hence, piecewise cubic Hermite interpolation scheme followed by adaptive numerical integration is more suitable for real time applications. Keywords: Homomorphic signal processing, cepstral analysis, unwrapped phase, principal phase, phase derivative, interpolation

References

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Published

2015-04-15

Issue

Vol. 1 No. 1 (2015)

Section

Articles