Mixers, Frequency Conversion, and Synthesizers Practical Mixer and Synthesizer Topics Informational

What is the phase noise degradation of a signal through a frequency multiplier chain?

The phase noise degradation of a signal through a frequency multiplier chain follows the fundamental relationship: every frequency multiplication by a factor N increases the phase noise by 20 x log10(N) dB. This is because the frequency multiplier multiplies both the carrier frequency and the phase deviations by N. The phase noise at the output of a times-N multiplier is: L_out(f_offset) = L_in(f_offset) + 20 x log10(N) [dBc/Hz]. For example: a x2 frequency doubler adds 20 x log10(2) = 6 dB of phase noise. A x4 multiplier (or two cascaded doublers) adds 12 dB. A x8 multiplier adds 18 dB. A x100 multiplication (e.g., 100 MHz crystal to 10 GHz) adds 40 dB of phase noise. This is a fundamental physical limit, not a design deficiency. The multiplication does not create new noise; it scales the existing phase modulation by the multiplication factor. The impact is: a 100 MHz crystal oscillator with L(10 kHz) = -160 dBc/Hz, after x100 multiplication to 10 GHz, has L(10 kHz) = -160 + 40 = -120 dBc/Hz. A direct 10 GHz dielectric resonator oscillator (DRO) might achieve -115 dBc/Hz at 10 kHz offset. In this case: the multiplied crystal is actually better than the free-running DRO because the crystal's excellent close-in phase noise survives the 40 dB penalty. This comparison drives the choice between multiplied low-frequency oscillators and direct high-frequency oscillators for different offset frequency ranges.
Category: Mixers, Frequency Conversion, and Synthesizers
Updated: April 2026
Product Tie-In: Mixers, Synthesizers, Amplifiers

Frequency Multiplication Phase Noise

Phase noise scaling through frequency multiplication is one of the most important relationships in synthesizer design. It determines the optimal approach for generating low-phase-noise signals at microwave and mmW frequencies.

ParameterPassive DiodeActive FETSubharmonic
Conversion Loss/Gain5-9 dB loss0-10 dB gain8-12 dB loss
LO Drive Level+7 to +17 dBm-5 to +5 dBm+5 to +13 dBm
IP3 (typical)+15 to +30 dBm+5 to +20 dBm+10 to +20 dBm
Noise Figure5-9 dB (= conv. loss)8-15 dB9-14 dB
LO-RF Isolation25-45 dB15-35 dB20-40 dB

Conversion Architecture

When evaluating the phase noise degradation of a signal through a frequency multiplier chain?, 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

Spurious Performance

When evaluating the phase noise degradation of a signal through a frequency multiplier chain?, 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

Does this apply to PLL-based synthesis?

Within the PLL loop bandwidth: yes. The reference phase noise is multiplied by 20×log10(N) where N is the total division ratio. This is because the PLL forces the VCO to track the reference × N, including the reference's phase deviations × N. Outside the loop bandwidth: the VCO's own phase noise dominates (the PLL no longer controls the VCO). This is why PLL synthesizer design involves selecting the loop bandwidth: narrow bandwidth reduces the multiplied reference noise (at far offsets) but allows more VCO noise (at close offsets). The loop bandwidth is typically set where the multiplied reference noise equals the VCO noise.

Is there a way to avoid the 20logN penalty?

No. The 20×log10(N) phase noise increase is a fundamental physical consequence of frequency multiplication. However: the penalty can be managed by: starting with the lowest-phase-noise source available (high-quality crystal oscillators, sapphire oscillators, or optical references), using the minimum multiplication factor (prefer direct high-frequency oscillators when their phase noise is comparable to the multiplied alternative), and using offset locking or injection locking (an indirect method that transfers the spectral purity of a reference to a high-frequency oscillator without formal multiplication).

What about frequency division?

Frequency division by N improves the phase noise by 20×log10(N) dB (the inverse of multiplication). This is why low-phase-noise mmW sources sometimes use a high-frequency oscillator divided down: a 40 GHz oscillator divided by 4 to 10 GHz has 12 dB lower phase noise at 10 GHz than the original oscillator at 40 GHz. Division also reduces the spurious content of the signal.

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