A half-band filter whose frequency response is weakly correlated with the number of digits of coefficient quantization
A technology of half-band filter and quantization bits, applied in digital filters, filters, digital technology networks, etc., can solve problems such as increasing hardware overhead and area, and reduce computational complexity and coefficient quantization bits. Effect
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[0031] The transfer function of a 2N order half-band filter can be expressed as:
[0032]
[0033] From formula (1), the direct symmetrical implementation structure of the decimation half-band filter can be obtained, such as figure 2 As shown, take a 14-order decimation half-band filter as an example. The input signal enters 14 delay registers in turn, and the original input signal and the output data of the 14th delay register (D14) are input to the first adder (A1) for summing, and then the summed data is input to the first multiplier (M1 ) is multiplied with the first coefficient of the filter; the output data of the second delay register (D2) and the output data of the 12th delay register (D12) are input to the second adder (A2) for summing, and then the data after the summation Input to the second multiplier (M2) and multiplied by the third coefficient of the filter; the output data to the 6th delay register (D6) and the output data of the 8th delay register (D8) are...
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