Abstract:
This research addresses the critical challenge of broadband matching in radio
engineering, focusing on enhancing phase-frequency response (PFC)
linearity across wide frequency bands. A novel approach, utilizing modified
Chebyshev functions, demonstrates significant potential in reducing phase
distortions within 5G technology applications. Unlike traditional Chebyshev
functions, this method incorporates strategically placed transmission zeros—
complex conjugate pairs on the s-variable complex plane—without
increasing the filter circuit's order. This innovation results in a low-order
filter circuit characterized by uniform phase response and group delay
characteristics (GDT), offering an effective solution for matching circuit
design with less phase-frequency distortion and improved group delay
uniformity across diverse load conditions. The modified Chebyshev
approximation outperforms its classical counterpart in both phase linearity
and selectivity within the 1 to 1.2 cutoff frequency range. This enhancement
is crucial for the development of low-frequency filters, with broader
implications for creating high-frequency, band-pass, and band-stop filters via
known frequency transformations. Empirical results validate the proposed
method's reliability and effectiveness, marking a significant advancement in
the field of radio engineering by addressing broadband matching challenges
with increased efficiency and simplified design implementations.
