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Cosine-modulated FIR filter banks with linear phase and paraunitary properties

Cosine-modulated FIR filter banks with linear phase and paraunitary properties

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A new class of cosine-modulated FIR filter banks is proposed. The necessary and sufficient condition is given which ensures that the filter banks satisfy the paraunitary and linear phase properties simultaneously. The prototype filter can be designed by optimising its stopband energy on the two-channel lattice parameters, and the filter banks can be implemented efficiently using DCT and DST.

References

    1. 1)
      • R.D. Koilpillai , P.P. Vaidyanathan . Cosine-modulated FIR filter banks satisfying perfectreconstruction. IEEE Trans. Signal Process. , 4 , 770 - 783
    2. 2)
      • Gopinath, R.A., Burrus, C.S.: `Theory of modulated filter banks and modulated wavelet tightframes', Proc. IEEE ICASSP, 1993, III, USA, p. 169–172.
    3. 3)
      • B. Hirosaki . An orthogonally multiplexed QAM system using the discrete Fourier transform. IEEE Trans. Commun. , 7 , 982 - 989
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      • Z.D. Wang . Fast algorithms for the discrete W transform and for the discrete Fouriertransform. IEEE Trans. , 4 , 803 - 817
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