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FPGA implementation of normalized correlation function

Authors: Krzysztof Mroczek;

FPGA implementation of normalized correlation function

Abstract

Correlation analysis is a frequently used tool in signal detection and classification tasks. This paper presents the design and FPGA implementations of a hardware module for calculating the Pearson correlation coefficient. This module is designed for use in signal template matching, where a measurement signal is correlated with a template. It has been described in Verilog and implemented on Intel Cyclone V FPGA. The module consists of two main parts, which are: a correlation filter and normalization modules. Correlation filters performing the calculation in the time domain and in the frequency domain are described. The project has been verified in simulation using ModelSim and checked on hardware. As a result of this work, hardware IP cores are developed enabling parametrization and programming in data word-lengths, filter size, calculation speed, FFT/IFFT size, length, and number of processing templates. Developed resources are intended to be used in FPGA-based hardware, e.g. DAQ systems, working with sampling frequencies from kHz to above 130 MHz.

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Keywords

hardware algorithms, correlation, time series analysis, pulse recognition, Telecommunication, embedded systems, Electrical engineering. Electronics. Nuclear engineering, TK5101-6720, fpga, TK1-9971

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold