Multiphase filter, digital signal processing system and filtering method
A polyphase filter, digital signal technology, applied in the direction of digital technology network, electrical components, impedance network, etc.
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Embodiment 1
[0054] Example 1 .The method of interpolation after IFFT
[0055] First, perform FFT on the input signal x(n) to obtain X(k);
[0056] After that, (L-1)×r zeros are inserted in the middle of X(k) to obtain the interpolated signal Y(k).
[0057] Here, the sequence length of Y(k) is L times that of X(k).
Embodiment 2
[0058] Example 2 .The way of IFFT pruning after interpolation first
[0059] First, insert L-1 zeros between every two points of the input signal x(n) to obtain the interpolated sequence, and then fill in zeros to make it an integer power of 2;
[0060] Afterwards, use the FFT pruning algorithm to transform the interpolated sequence to obtain Y(k).
[0061] Here, the Y(k) to be obtained is an interpolation signal Y(k) with (L-1)r zero points in the middle, so only r points at both ends of the signal are reserved. For the FFT pruning algorithm mentioned here, please refer to "General FFTPruning Algorithm", by Rogerio G.Alves, P.L.Osorio and M.N.S.Swamy et al. in Proc.43 rd IEEE Midwest Symp. on Circuits and Systems, Lansing MI, pp. 1192-1195, August 2000, the entire contents of which publication are hereby incorporated by reference and are hereby incorporated by reference.
[0062] Here, those skilled in the art should understand that, from the perspective of the amount of...
Embodiment 3
[0065] Example 3 .Directly use the DFT transformation matrix formula instead of obtaining the autocorrelation function r(n) through FFT.
[0066] Have
[0067] output sequence Its matrix can be expressed as:
[0068] r ( 0 ) r ( 1 ) · · · r ( N - 1 ) N × 1
[0069]
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