An Innovative Digital Equalizer for Wireless Communications

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Abstract

Nonlinear frequency responses are a common problem in radio frequency (RF) components. Specifically, in wireless communication systems, signals are often unequally amplified or attenuated across a specified frequency band. Common communications components such as filters, amplifiers, and mixers can lead to nonlinear frequency responses, which can cause errors in transmitting and receiving. This article outlines the design and demonstration of a static and dynamic finite impulse response (FIR) digital equalizer circuit. Using predistortion topology with a coupled feedback loop, the adaptive LMS algorithm was implemented. The FIR filter was simulated in MATLAB and Vivado and then implemented onto an Eclypse Z7 FPGA evaluation board with no timing errors. Simulations showed that the custom RTL module gave the same frequency response that was produced in MATLAB calculations. The filter was able to dynamically equalize the frequency responses of different nonlinear boards that were used as the devices under test (DUT). Measurements showed that the equalizer was able to compensate for system distortion from 0.2 to 0.8 Nyquist frequency. The phase response remained relatively linear across the band of interest, with a group delay flatness less than 10ns.

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europepmc
last seen: 2026-05-19T01:45:01.086888+00:00