Half-band filter structure with frequency response weakly correlated with coefficient quantization digit
A technology of half-band filters and quantization bits, which is applied in digital filters, filters, digital technology networks, etc., can solve problems such as increasing hardware overhead and area, and achieve reduced computational complexity and coefficient quantization bits , the effect of increasing the computational complexity
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[0031] The transfer function of a 2N-order half-band filter can be expressed as:
[0032] H ( z ) = z - N ( h 0 + X k = 1 , 3 , ... N h k ( z k + z - k ) ) - - - ( 1 )
[0033] From equation (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 the 14 delay registers in turn. The original input signal and the output data of the 14th delay register (D14) are input to the first adder to sum (A1), and then the summed data is input to the first multiplier (M1). ) Is multiplied by 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 summation, and then the summed data The input to the second mult...
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