RFDesign.wikiRadio-frequency design, explained

What specifications define an RF filter?

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An RF filter passes wanted frequencies and attenuates others. It is specified by passband edges, insertion loss, passband ripple and return loss, stopband rejection at stated frequencies, group-delay variation, power handling and size. Designs usually start from a normalized low-pass prototype that is scaled and transformed to the required response.[1][2]

What filter responses exist?

Which technology suits which frequency?

TechnologyTypical rangeUnloaded Q
Lumped LC (chip or wound)kHz to a few GHz20–200
LTCC / IPD lumped100 MHz to ~10 GHz30–100
Microstrip / stripline1–100 GHz100–300
SAW~10 MHz to ~3 GHz~1,000
BAW / FBAR~1.5 to ~7 GHz and above1,000–3,000+
Ceramic coaxial300 MHz to ~6 GHzseveral hundred
Cavity / dielectric resonator~100 MHz to mmWavethousands to tens of thousands

Ranges are indicative; vendors continually extend them.

How does resonator Q affect a filter?

Midband insertion loss of a band-pass filter is approximately IL ≈ 4.343·Σgk·(f0/Δf)/Qu dB, summing the prototype element values gk. Narrow fractional bandwidths and more sections demand higher Qu.[1]

Why does group delay matter?

Group delay τ = −dφ/dω. Variation across the passband distorts wideband modulated signals; sharp filters have large delay peaks near band edges. Bessel and linear-phase designs trade selectivity for flat delay.[3]

Frequently asked questions

What is insertion loss?

The reduction in transmitted power caused by inserting the filter, usually quoted as −|S21| in dB at passband.

What is shape factor?

Ratio of the bandwidth at a stopband attenuation level (e.g., 60 dB) to the passband bandwidth.

Do filters need matching?

Filters are designed for specified terminations; mismatched terminations degrade ripple and rejection.

References

Online sources accessed October 21, 2026; printed works cited by edition. See all sources.

  1. “Microwave Filters, Impedance-Matching Networks, and Coupling Structures”. G. Matthaei, L. Young, E. M. T. Jones, McGraw-Hill / Artech House. 1964; Artech reprint 1980.
  2. “Microwave Engineering, 4th ed.”. D. M. Pozar, Wiley. 2012.
  3. “Handbook of Filter Synthesis”. A. I. Zverev, Wiley. 1967.