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Sequency Domain Signal Processing Using Complex Hadamard Transform

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Abstract

Signal processing can be performed in time domain as well as intransform domain. Frequency domain is perhaps the most widely used domain for transform domain signal processing. In this paper we analyze sequency domain (SD) signal processing as an alternate to the conventional frequency domain signal processing. We perform signal processing in sequency domain using conjugate-symmetric sequency-ordered complex Hadamard transform and compare the results with those of discrete Fourier transform. We observe that in comparison with frequency spectrum, spectral energy of sequency spectrum is spread over the entire spectrum. We performed signal and image denoising in SD and found that our designed SD filters effectively denoise the signals.

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Authors and Affiliations

  1. Hamdard Institute of Engineering and Technology, Hamdard University, Madinat al-Hikmah, Sharah-e-Madinat al-Hikmah, Muhammad Bin Qasin Avenue, Karachi, 74600, Pakistan

    D. Jabeen & F. Azim

  2. Karachi Institute of Economics and Technology, PAF-Base, Korangi Creek, Karachi, 75190, Pakistan

    G. Monir

Authors
  1. D. Jabeen
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  2. G. Monir
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  3. F. Azim
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Correspondence to D. Jabeen.

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Jabeen, D., Monir, G. & Azim, F. Sequency Domain Signal Processing Using Complex Hadamard Transform. Circuits Syst Signal Process 35, 1783–1793 (2016). https://doi.org/10.1007/s00034-015-0138-x

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  • DOI: https://doi.org/10.1007/s00034-015-0138-x

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