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

What is the fractional spur problem in a fractional-N synthesizer and how do I mitigate it?

The fractional spur problem in a fractional-N synthesizer is the appearance of spurious tones in the output spectrum at offsets that are fractional multiples of the reference frequency, caused by the periodic nature of the delta-sigma modulator's division ratio switching pattern. In a fractional-N synthesizer: the output frequency is f_out = f_ref x (N + F/M), where N is the integer part and F/M is the fractional part of the division ratio (e.g., N=100, F=1, M=4 gives a division ratio of 100.25). The fractional division is achieved by rapidly switching the divider ratio between N and N+1 (and potentially N-1, N+2 for higher-order modulators) in a pattern controlled by a delta-sigma modulator. The fractional spurs appear because: the delta-sigma modulator's output is periodic with a period that depends on the fractional value F/M, creating periodic variations in the charge pump current that are not fully filtered by the loop filter, and the resulting tones appear at offsets of f_ref x F/M, f_ref x 2F/M, etc. from the carrier. The spur levels depend on: the order of the delta-sigma modulator (higher order pushes the quantization noise to higher offsets, but the periodicity remains), the fractional value (simple fractions like 1/2, 1/4 produce stronger spurs than complex fractions like 17/100), and charge pump mismatches (any mismatch between the up and down current sources converts the modulator's phase dithering into amplitude tones). Mitigation techniques include: using a higher-order delta-sigma modulator (3rd or 4th order, which shapes the quantization noise to higher offsets and reduces the spur energy at close-in offsets), using dithering (adding a pseudo-random sequence to the modulator's accumulator to break the periodicity and spread the spur energy into broadband noise), choosing non-problematic fractional values (avoiding simple fractions like 1/2, 1/3, 1/4 which produce the strongest spurs), and improving charge pump matching (reducing the mismatch between up and down currents to < 1% of I_CP).
Category: Mixers, Frequency Conversion, and Synthesizers
Updated: April 2026
Product Tie-In: Mixers, Synthesizers, Amplifiers

Fractional-N Spurious Mitigation

Fractional spurs are the primary disadvantage of fractional-N synthesis compared to integer-N synthesis. Modern delta-sigma fractional-N synthesizers have greatly reduced spur levels through advanced modulator design, but the problem remains for demanding applications.

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 fractional spur problem in a fractional-n synthesizer and how do i mitigate it?, 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.

Spurious Performance

When evaluating the fractional spur problem in a fractional-n synthesizer and how do i mitigate it?, 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.

Design Trade-offs

When evaluating the fractional spur problem in a fractional-n synthesizer and how do i mitigate it?, 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

Implementation Considerations

When evaluating the fractional spur problem in a fractional-n synthesizer and how do i mitigate it?, 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

Are all fractional values equally bad?

No. The spur level depends heavily on the fractional value: F/M = 1/2: the strongest spur (at f_ref/2). The modulator alternates between N and N+1 every other cycle, creating a strong tone. F/M = 1/4, 1/3: also strong spurs at f_ref/4 and f_ref/3. These simple fractions have short periods, concentrating energy in a few discrete tones. F/M = 17/100: weak spurs. The longer period spreads the energy across many small tones. F/M = irrational (approximated by a large M): the weakest spurs. The modulator pattern appears nearly random. Best practice: avoid simple fractions. Choose the reference frequency and M value so that the operating frequencies correspond to complex fractional values.

How do modern synthesizer ICs handle fractional spurs?

Modern fractional-N synthesizer ICs (Analog Devices ADF4356/ADF5356, Texas Instruments LMX2594, Renesas 8V97003) include: 3rd or 4th order MASH delta-sigma modulators, built-in dithering options, automatic charge pump calibration, and spur cancellation circuits (some ICs include a dedicated DAC that injects a cancellation signal at the known spur frequencies). These features reduce fractional spurs to -60 to -90 dBc for most fractional values, which is adequate for the majority of communications applications.

What spur levels are acceptable?

Depends on the application: cellular base station: < -65 dBc at any offset (to meet the transmitted spurious emission mask). Radar: < -50 dBc (spurs create false targets). Test equipment (signal generators): < -70 dBc (to avoid corrupting the DUT measurement). Military communications: < -60 dBc (to avoid detection). Research/scientific: < -80 dBc (for demanding spectral purity requirements). If the required spur level cannot be achieved with a fractional-N synthesizer: use an integer-N synthesizer with a lower reference frequency (no fractional spurs, but coarser frequency resolution and potentially higher in-band noise).

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