FIR II IP Core: User Guide

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ID 683208
Date 8/14/2023
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Document Table of Contents
Document Table of Contents x
1. About the FIR II IP Core 2. FIR II IP Core Getting Started 3. FIR II IP Core Parameters 4. FIR II IP Core Functional Description 5. Document Revision History for the FIR II IP User Guide A. FIR II IP Core Document Archive
1. About the FIR II IP Core x
1.1. DSP Intel® FPGA IP Features 1.2. FIR II IP Core Features 1.3. FIR II IP Device Support 1.4. DSP Intel® FPGA IP Verification 1.5. FIR II IP Core Release Information 1.6. FIR II IP Core Performance and Resource Utilization
2. FIR II IP Core Getting Started x
2.1. Installing and Licensing Intel® FPGA IP Cores 2.2. IP Catalog and Parameter Editor 2.3. Specifying the IP Core Parameters and Options ( Intel® Quartus® Prime Pro Edition) 2.4. Simulating Intel® FPGA IP Cores 2.5. Simulating the FIR II IP Core Testbench in MATLAB 2.6. DSP Builder for Intel® FPGAs Design Flow
2.1. Installing and Licensing Intel® FPGA IP Cores x
2.1.1. Intel® FPGA IP Evaluation Mode 2.1.2. FIR II IP Core Intel® FPGA IP Evaluation Mode Timeout Behavior
2.3. Specifying the IP Core Parameters and Options ( Intel® Quartus® Prime Pro Edition) x
2.3.1. IP Core Generation Output ( Intel® Quartus® Prime Pro Edition)
3. FIR II IP Core Parameters x
3.1. FIR II IP Core Filter Specification 3.2. FIR II IP Core Coefficient Settings 3.3. FIR II IP Core Coefficients 3.4. FIR II IP Core Input and Output Options 3.5. FIR II IP Core Implementation Options 3.6. FIR II IP Core Reconfigurability
3.3. FIR II IP Core Coefficients x
3.3.1. Loading Coefficients from a File
3.4. FIR II IP Core Input and Output Options x
3.4.1. Signed Fractional Binary 3.4.2. MSB and LSB Truncation, Saturation, and Rounding
3.5. FIR II IP Core Implementation Options x
3.5.1. Memory and Multiplier Trade-Offs
3.5.1. Memory and Multiplier Trade-Offs x
3.5.1.1. Using Memory Block Threshold 3.5.1.2. Using Dual-port RAM Threshold 3.5.1.3. Using Large RAM Threshold 3.5.1.4. Using Hard Multiplier Threshold
4. FIR II IP Core Functional Description x
4.1. FIR II IP Core Interpolation Filters 4.2. FIR Decimation Filters 4.3. FIR II IP Core Time-Division Multiplexing 4.4. FIR II IP Core Multichannel Operation 4.5. FIR II IP Core Multiple Coefficient Banks 4.6. FIR II IP Core Coefficient Reloading 4.7. Reconfigurable FIR Filters 4.8. FIR II IP Core Interfaces and Signals
4.4. FIR II IP Core Multichannel Operation x
4.4.1. Vectorized Inputs 4.4.2. Channelization 4.4.3. Channel Input and Output Format
4.4.3. Channel Input and Output Format x
4.4.3.1. Eight Channels on Three Wires 4.4.3.2. Four Channels on Four Wires 4.4.3.3. 15 Channels with 15 Valid Cycles and 17 Invalid Cycles 4.4.3.4. 22 Channels with 11 Valid Cycles and 9 Invalid Cycles 4.4.3.5. Super Sample Rate
4.8. FIR II IP Core Interfaces and Signals x
4.8.1. Avalon Streaming Interfaces in DSP Intel FPGA IP 4.8.2. FIR II IP Core Avalon-ST Interfaces 4.8.3. FIR II IP Core Signals
4.8.2. FIR II IP Core Avalon-ST Interfaces x
4.8.2.1. Avalon-ST Sink Interface 4.8.2.2. Avalon-ST Source Interface
4.8.2.1. Avalon-ST Sink Interface x
4.8.2.1.1. Single Channel on Single Wire 4.8.2.1.2. Multiple Channels on Single Wire 4.8.2.1.3. Multiple Channels on Multiple Wires
1. About the FIR II IP Core
2. FIR II IP Core Getting Started
3. FIR II IP Core Parameters
4. FIR II IP Core Functional Description
5. Document Revision History for the FIR II IP User Guide
A. FIR II IP Core Document Archive

3.4.1. Signed Fractional Binary

The FIR II IP core supports two’s complement, signed fractional binary notation, which allows you to monitor which bits the IP core preserves and which bits it removes during filtering. A signed binary fractional number has the format:

<sign> <integer bits>.<fractional bits>

A signed binary fractional number is interpreted as shown below:

<sign> <x1 integer bits>.<y1 fractional bits> Original input data

<sign> <x2 integer bits>.<y2 fractional bits> Original coefficient data

<sign> <i integer bits>.<y1 + y2 fractional bits> Full precision after FIR calculation

<sign> <x3 integer bits>.<y3 fractional bits> Output data after limiting precision

where i = ceil(log2ceil(number of coefficients/interpolation factor)) + x1 + x2

For example, if the number has 3 fractional bits and 4 integer bits plus a sign bit, the entire 8-bit integer number is divided by 8, which gives a number with a binary fractional component.

The total number of bits equals to the sign bits + integer bits + fractional bits. The sign + integer bits is equal to Input Bit Width – Input Fractional Bit Width with a constraint that at least 1 bit must be specified for the sign.

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