Filters and Frequency Selectivity Practical Filter Applications Informational

How do I design a band-reject filter to notch out a specific interference frequency?

Designing a band-reject (notch) filter to remove a specific interference frequency creates a deep attenuation null at the interference frequency while passing all other frequencies with minimal loss. The design involves: determining the notch specifications (center frequency: the exact frequency of the interference; rejection depth: the minimum attenuation at the interference frequency, typically 20-40 dB; notch bandwidth: the 3 dB bandwidth of the notch, which determines how much spectrum is removed; typical notch BW: 0.1-5% of the center frequency; passband insertion loss: the loss at frequencies away from the notch, which should be < 0.5 dB), selecting the notch filter topology (series LC resonator in shunt: a series-resonant LC circuit connected from the signal path to ground creates a short circuit at resonance, rejecting the interference frequency; this is the simplest topology and provides a single notch; parallel LC resonator in series: a parallel-resonant LC circuit in series with the signal path creates an open circuit at resonance, blocking the interference; coupled-line notch: a quarter-wave coupled section provides a notch using distributed elements; active notch: uses feedback to create a very deep, narrow notch that can be electronically tuned), designing the resonant circuit (for a shunt series-LC notch: L and C values are chosen so that f_notch = 1/(2 x pi x sqrt(L x C)); the bandwidth of the notch is determined by the Q of the resonator: BW_3dB = f_notch / Q_loaded; the loaded Q depends on both the component Q and the coupling to the 50-ohm line), and implementing on PCB (for frequencies below approximately 3 GHz: use discrete L and C components; above 3 GHz: use microstrip coupled-line or stub-based notch filters; the component and layout parasitics must be carefully controlled to maintain the notch at the precise interference frequency).
Category: Filters and Frequency Selectivity
Updated: April 2026
Product Tie-In: Filters, Resonators

Band-Reject Filter Design

Notch filters are widely used in RF systems to eliminate specific interfering signals without significantly degrading the desired signals. Common applications include: rejecting a specific radar signal at a nearby frequency, eliminating a self-generated spur or harmonic, and protecting a receiver from a co-located transmitter.

ParameterLC LumpedCavitySAW/BAW
Q Factor50-2001,000-20,000500-2,000
Frequency RangeDC-3 GHz0.1-40 GHz0.1-6 GHz
Insertion Loss1-6 dB0.2-2 dB1-4 dB
SizeSmall (PCB)Large (machined)Very small (chip)
TuningFixed or varactorMechanical screwFixed

Response Shape Selection

When evaluating design a band-reject filter to notch out a specific interference frequency?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Implementation Technology

When evaluating design a band-reject filter to notch out a specific interference frequency?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Insertion Loss Budget

When evaluating design a band-reject filter to notch out a specific interference frequency?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Out-of-Band Rejection

When evaluating design a band-reject filter to notch out a specific interference frequency?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

  • Performance verification: confirm specifications against the application requirements before finalizing the design
  • Environmental factors: temperature range, humidity, and vibration affect long-term reliability and parameter drift
  • Cost vs. performance: evaluate whether the application demands premium components or standard commercial grades
  • Interface compatibility: verify impedance, connector type, and mechanical form factor match the system architecture
  • Margin allocation: include sufficient design margin to account for manufacturing tolerances and aging effects

Temperature and Aging

When evaluating design a band-reject filter to notch out a specific interference frequency?, engineers must account for the specific requirements of their target application. The optimal choice depends on the frequency range, power level, environmental conditions, and cost constraints of the overall system design.

Common Questions

Frequently Asked Questions

How deep a notch can I achieve?

The notch depth depends on: component Q (higher Q = deeper notch; lumped inductors at 1 GHz: Q approximately 50-100, providing 20-30 dB notch; cavity resonators: Q approximately 1000+, providing 40-60 dB notch), symmetry of the circuit (any asymmetry in the series LC resonator reduces the notch depth; use precisely matched L and C), and PCB parasitics (stray capacitance and inductance can detune the notch or create a parallel path that limits the rejection). For the deepest notch: use a crystal-based notch filter (at fixed frequencies: crystal resonators provide Q > 10,000, enabling > 60 dB notch depth). For tunable notch: YIG resonators provide Q approximately 200-500 with > 30 dB depth, tunable over octave bandwidth.

Can I tune the notch electronically?

Yes. Tuning methods: varactor diode (replace the fixed capacitor with a voltage-tunable varactor; tuning range: 2:1 to 5:1 in frequency; disadvantage: varactor nonlinearity limits the power handling and adds IMD), MEMS switch (switch different capacitors to change the resonant frequency; discrete tuning steps; high Q maintained), YIG resonator (magnetically tuned; continuous tuning over octave bandwidth; high Q; but requires an electromagnet), and digital tuning (use a bank of fixed notch filters with RF switches to select the appropriate one). For interference cancellation in cognitive radio: electronically tuned notch filters are essential for adapting to changing interference conditions.

What about multiple interferers?

For multiple interference frequencies: cascading multiple notch filters (each tuned to a different frequency) provides rejection at all interference frequencies. Each notch adds its own insertion loss (approximately 0.2-0.5 dB per notch). For more than 3-4 notches: the cumulative insertion loss may be unacceptable. Alternative: a digital notch filter in the DSP (after the ADC) can provide arbitrarily many notches with zero insertion loss to the desired signal, but requires the ADC to have sufficient dynamic range to digitize the interference without clipping.

Need expert RF components?

Request a Quote

RF Essentials supplies precision components for noise-critical, high-linearity, and impedance-matched systems.

Get in Touch