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Determination of P-adic transform bases and lengths

Determination of P-adic transform bases and lengths

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The P-adic transform bases and lengths can be easily determined by the Hensel code weight sums defined over a finite ring Pr. The maximum transform length is found to be Pr−1(P−1) instead of(P−1), it has much wider choice and is longer than before in terms of transform size.

References

    1. 1)
      • N.M. Nasrabadi , R.A. King . Fast digital convolution using P-adic transforms. Electron. Lett. , 266 - 267
    2. 2)
      • E.V. Krishnamurthy . Matrix processors using P-adic arithmetic for exact linear computations. IEEE Trans. , 633 - 639
    3. 3)
      • J.H. McClelland , C.M. Rader . (1970) , Number theory in digital signal processing.
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