Design techniques for silicon compiler implementations of high-speed FIR digital filters

Linear Programming Design of Coefficient Decimation FIR Filters

“…While not formally required, it is often preferred to select the filter order, N , to be an integer multiple of the decimation factors, D. Finally, it should be noted that for even D there are two different ways to decimate an even-order impulse response to obtain a linear-phase filter [10]. To the best of the authors' knowledge, this has not been considered in any of the previous works on coefficient decimation filters.…”

An FPGA Based All-Digital Transmitter with Radio Frequency Output for Software Defined Radio

“…The impulse response of a linear phase FIR is either symmetrical or antisymmetrical. Design techniques of FIR filters have been well studied for ASIC implementations [7]. In this paper, we present the general interpolation FIR architecture specifically optimized for FPGAs.…”

“…Efficient FIR implementations take advantage of the filter coefficients symmetry to minimize the number of multiplications. It has been shown that when the interpolation ratio is even and the length of the FIR filter is odd, we can have two linear phase subfilters after decomposing into polyphase structure [7]. Therefore we choose the interpolation ratios to be two for all of the interpolation filters, while designing them to have odd number of taps.…”

“…In addition, the halfband filters in a digital modulator often have fixed coefficients. These coefficients can be formatted using canonic signed digits (CSD) [7]. By using CSD formatted coefficients, the multiplication and accumulation in a general FIR can be replaced by shift and add operation instead.…”

“…There is an inherent interpolation operation in the pulse shaping filter. Interpolation filters can be efficiently implemented using polyphase structures by dividing the original filter into subfilters [7]. Efficient FIR implementations take advantage of the filter coefficients symmetry to minimize the number of multiplications.…”