CIC Intel® FPGA IP: User Guide

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ID 683246
Date 9/30/2019
Public
Document Table of Contents
Document Table of Contents x
1. About the CIC Intel® FPGA IP 2. CIC Intel® FPGA IP Getting Started 3. CIC Intel® FPGA IP Functional Description 4. CIC Intel® FPGA IP User Guide Document Archives 5. CIC Intel® FPGA IP User Guide Document Revision History
1. About the CIC Intel® FPGA IP x
1.1. DSP Intel® FPGA IP Features 1.2. CIC Intel® FPGA IP Features 1.3. DSP Intel® FPGA IP Device Family Support 1.4. DSP Intel® FPGA IP Verification 1.5. CIC Intel® FPGA IP Release Information 1.6. CIC Intel® FPGA IP Performance and Resource Utilization
2. CIC Intel® FPGA IP Getting Started x
2.1. Installing and Licensing Intel® FPGA IP Cores 2.2. IP Catalog and Parameter Editor 2.3. Generating IP Cores ( Intel® Quartus® Prime Pro Edition) 2.4. Simulating Intel® FPGA IP Cores 2.5. 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. CIC IP Core Intel® FPGA IP Evaluation Mode Timeout Behavior
2.3. Generating IP Cores ( Intel® Quartus® Prime Pro Edition) x
2.3.1. IP Core Generation Output ( Intel® Quartus® Prime Pro Edition)
3. CIC Intel® FPGA IP Functional Description x
3.1. Variable Rate Change Factors 3.2. Multichannel Support 3.3. CIC Output Options 3.4. FIR Filter Compensation Coefficients 3.5. CIC Intel® FPGA IP Parameters 3.6. CIC Intel® FPGA IP Interfaces and Signals
3.2. Multichannel Support x
3.2.1. Multiple Input Single Output (MISO) 3.2.2. Single Input Multiple Output (SIMO)
3.3. CIC Output Options x
3.3.1. Output Data Width 3.3.2. Output Rounding 3.3.3. Hogenauer Pruning
3.6. CIC Intel® FPGA IP Interfaces and Signals x
3.6.1. Avalon Streaming Interfaces in DSP Intel FPGA IP 3.6.2. CIC Intel® FPGA IP Signals 3.6.3. Avalon Streaming Interface Data Transfer Timing 3.6.4. Packet Data Transfers
1. About the CIC Intel® FPGA IP
2. CIC Intel® FPGA IP Getting Started
3. CIC Intel® FPGA IP Functional Description
4. CIC Intel® FPGA IP User Guide Document Archives
5. CIC Intel® FPGA IP User Guide Document Revision History

3.3.1. Output Data Width

If you select an output data width that is smaller than the full output resolution data width, apply the Hogenauer pruning technique to reduce the data widths across the filter stages and hence the overall resource utilization.

For a decimation filter, the gain at the output of the filter is:

G = RM N

Therefore, the data width at the output stage for if full resolution is:

B out = B in + Nlog2(RM)

where Bin is the input data width.

Note: A data width of B out is required for each integrator and differentiator for no data loss.

For an interpolation filter, the gain at each filter stage is:

Hence the required data width at the ith stage is:

W i = [B in + log2(G i )]

and the data width at the output stage is:

B out = [B in + Nlog2(RM) - log2(R)]

where B in is the input data width.

When the differential delay is one, the bit width at each integrator stage is increased by one to ensure stability.

For more information about these calculations, refer to Hogenauer, Eugene. An Economical Class of Digital Filters For Decimation and Interpolation, IEEE Transactions on Acoustics, Speech and Signal Processing, Vol. ASSP-29, pp. 155-162, April 1981.

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