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Efficient Computation of Sparse Spectra Using Sparse Fourier Transform

  • V. S. Muthu LekshmiEmail author
  • K. Harish Kumar
  • N. Venkateswaran
Conference paper
Part of the Lecture Notes on Data Engineering and Communications Technologies book series (LNDECT, volume 35)

Abstract

One of the recent research developments of obtaining faster computation of signal spectra is Sparse Fourier Transform (SFT). This paper aims at understanding signal sparsity in the frequency domain and its frequency spectra using SFT. In this paper, we show that given a time domain signal x which is sparse in the frequency domain with only a few number of significant frequency components, then x can be recovered completely by an iterative procedure wherein the largest frequency coefficients are extracted one by one till all the k largest frequency coefficients are retrieved. Later the algorithm was used to analyze the frequencies from a real time signal piano and the results are compared with FFT based analysis.

Keywords

Digital signal processing SFT Signal sparsity 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • V. S. Muthu Lekshmi
    • 1
    Email author
  • K. Harish Kumar
    • 1
  • N. Venkateswaran
    • 1
  1. 1.Department of Electronics and Communication EngineeringSSN College of EngineeringKalavakkamIndia

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