Filtering method of far-infra-red ( FIR ) filter and filter
A filter and sub-filter technology, applied in the information field, can solve the problems of increasing the bit width of the multiplier, limiting the application of filters, and not being directly applicable to parallel FIR filters.
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Embodiment 1
[0063] An embodiment of the present invention provides a FIR filter filtering method, wherein the order of the filter coefficient vector H(n) of the filter is N, and the length of the input data vector X(m) is M. Specifically, as figure 1 As shown, the method includes:
[0064] 101. The first multiplier included in the filter is used to obtain (X(m)+X(m+Q))*(H(n)+H(n+Q)).
[0065] Wherein, 1<=Q<=N.
[0066] 102. The filter is further used to obtain X(m)*H(n+Q) and X(m+Q)*H(n).
[0067] 103. The filter is obtained according to (X(m)+X(m+Q))*(H(n)+H(n+Q)), X(m)*H(n+Q) and X(m+Q)*H(n), get X(m)*H(n)+X(m+Q)*H(n+Q).
[0068] The purpose of the present invention is to obtain X(m)*H(n+Q), X(m+Q)*H(n), X(m)*H(n)+X(m) in the prior art +Q)*H(n+Q) requires four multipliers to implement respectively, that is, figure 2 shown.
[0069] In this scheme, only X(m) and X(m+Q), and H(n) and H(n+Q) are combined and added in pairs, and then multiplied by the first multiplier M1 to obtain X(...
Embodiment 2
[0084] The embodiment of the present invention provides a method for FIR filter filtering. The method is specifically as follows: the order of the filter coefficient vector H(n) is N to be 8, the length of the input data vector X(m) is 24, and the downsampled The multiple L is 2, and Q is 2 as an example for detailed description. At this time, the filter includes the first sub-filter to the ninth sub-filter. Specifically, such as Figure 5 As shown, the method includes:
[0085] 501. The p-th sub-filters of the first to ninth sub-filters respectively include four first multipliers, wherein the j-th first multiplier among the four first multipliers The device obtains (X(L*(p-1)+j+[j / 2]*2)+X(L*(p-1)+j+[j / 2]*2+Q))*(H(j+ [j / 2]*2)+H(j+[j / 2]*2+Q)).
[0086] Wherein, j is i, i+1, i is an even number, and i>=0, p is an even number, and p<=(M-N+L) / L.
[0087] 502. The p-th sub-filter is also used to obtain X(L*(p-1)+j+[j / 2]*2)*H(j+[j / 2]*2+Q) and X(L *(p-1)+j+[j / 2]*2+Q)*H(j+[j / 2]*2...
Embodiment 3
[0160] An embodiment of the present invention provides an FIR filter, wherein the order of the filter coefficient vector H(n) of the filter is N, the length of the input data vector X(m) is M, and the downsampling multiple is L , specifically, such as Figure 16 As shown, the filter includes the first sub-filter to the (M-N+L) / L sub-filter, wherein,
[0161] The filter comprises a first multiplier M1 for obtaining (X(m)+X(m+Q))*(H(n)+H(n+Q)), where , 1<=Q<=N;
[0162] The filter is also used to obtain X(m)*H(n+Q) and X(m+Q)*H(n) respectively;
[0163] The filter, according to the obtained (X(m)+X(m+Q))*(H(n)+H(n+Q)), X(m)*H(n+Q) and X( m+Q)*H(n), obtain X(m)*H(n)+X(m+Q)*H(n+Q) respectively.
[0164] Further, if Q=2, and the downsampling multiple of the filter is L=2, the filter includes the first sub-filter to the (M-N+L) / L sub-filter ;
[0165]Wherein, the p-th sub-filter of the first sub-filter to the (M-N+L) / L sub-filter includes N / 2 first multipliers, wherein the N / 2...
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