On characterization of linear phase nonuniform filter banks

  • Authors:
  • Sanjay Nalbalwar;S. D. Joshi;R. K. Patney

  • Affiliations:
  • Electrical Engineering Department, Indian Institute of Technology, Delhi, India;Electrical Engineering Department, Indian Institute of Technology, Delhi, India;Electrical Engineering Department, Indian Institute of Technology, Delhi, India

  • Venue:
  • Signal Processing
  • Year:
  • 2008

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Abstract

In this paper, a condition termed as linear phase condition (LPC), which ensures that the filters of a nonuniform filter bank are linear phase, is presented. It is observed that the proposed LPC is also applicable to the uniform filter bank case. Further, the utility of this LPC to find (i) necessary restrictions on the filters lengths, (ii) the number of symmetric and antisymmetric filters in the filter bank and (iii) filter bank decimation factors is also investigated. The results obtained for the different cases are also presented in the form of tables. These tables will facilitate the design of nonuniform filter bank by ruling out the non-solvable cases and by reducing the search space, thus saving the designers' precious time.