DA-RNS (distributed arithmetic-residue number system) algorithm based FIR (finite impulse response) filter realizing method
An implementation method and filter technology, applied in the direction of electrical components, digital technology networks, impedance networks, etc., can solve the problems of narrow transition band, high filter order, and high complexity of hardware implementation, so as to reduce resource consumption and reduce Effects of Small Area and Power Consumption
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[0035] In this embodiment, the implementation of the 24th-order shaping filter is taken as an example to study the filtering under the remainder number system (RNS), and then use the DA (Distributed Arithmetic) algorithm to design an implementation method of the FIR filter in the remainder system. In this method, because less resources can be used under the RNS, the filter input and filter coefficients are converted into residues to complete the filter calculation. The DA algorithm is also used to convert the intermediate filtering part into multi-channel parallel single-bit convolution to increase the throughput of the entire system. Finally, the Chinese Remainder Theorem (CRT) is used to convert the number in the remainder system into a weighted decimal number.
[0036] like figure 1 Shown, this implements the implementation method based on the FIR filter of DA RNS algorithm, comprises the following steps:
[0037] Step 1, using the bitwise look-up table method to convert ...
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