COREFIR-RM【PDF 13/67 页】IP MODULE COREFIR

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Fully Enumerated Filter

Fully Enumerated Filter Symmetry

Many FIR filters are symmetric. The fully enumerated filter exploits the filter symmetry to minimize the

number of physical MACs required for the implementation. Figure 8 shows the impulse response for a 9-tap

symmetric filter. In this filter c(0) = c(8), c(1) = c(7), c(2) = c(6), and c(3) = c(5) . When exploited, the

symmetry can substantially reduce the number of multipliers. The symmetric FIR filter implementation first

adds together the data samples that engage equal coefficients. Figure 9 shows the corresponding functional

block diagram.

c(1)

c(7)

c(0)

c(2)

c(3)

c(4)

c(5)

c(6)

c(8)

Figure 8 · Symmetric FIR Filter Impulse Response

z -1

z -1

z -1

z -1

x(i)

c(0)

z -1

c(1)

z -1

c(2)

z -1

c(3)

z -1

c(4)

y(k)

Figure 9 · Symmetric FIR Filter

There are a few types of symmetry. Figure 8 shows an example of an odd symmetry, where the number of

taps is odd, and a central tap is unique. Even symmetry is applied to a filter with an even number of taps.

The even symmetric filter does not have a unique center tap.

Figure 10 shows an 8-tap anti-symmetric filter impulse response. In this filter c(0) = -c(7),

c(1) = -c(6), c(2) = -c(5), and c(3) = -c(4) . Similarly, odd anti-symmetric filters exist. The core exploits all four

symmetry types to nearly double the tap number, given the same number of mathblocks utilized.

c(1)

c(4)

c(5)

c(7)

c(0)

c(2)

c(3)

c(6)

Figure 10 · Even Anti-Symmetric FIR Filter Impulse Response

All symmetric/anti-symmetric filters utilize the systolic architecture in Figure 7 .

14

CoreFIR v8.5 Handbook

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COREPCI-AR 制造商:ACTEL 制造商全称:Actel Corporation 功能描述:CorePCI v5.41

COREPCI-EV 制造商:ACTEL 制造商全称:Actel Corporation 功能描述:CorePCI v5.41

COREPCIF-OM 功能描述:IP MODULE COREPCIF RoHS:否类别:编程器，开发系统 >> 软件系列:* 标准包装:1 系列:ISE® 设计套件类型:订阅适用于相关产品:Xilinx FPGAs 其它名称:Q4986209T1081384

COREPCIF-OMFL 功能描述:IP MODULE 制造商:microsemi corporation 系列:- 零件状态:在售类型:许可证应用:- 版本:- 许可长度:- 许可 - 用户明细:- 操作系统:- 配套使用产品/相关产品:Microsemi 器件媒体分发类型:- 标准包装:1