# Glossary

Browse our glossary, one of the most comprehensive in the industry. Find definitions for types of timing devices and important terminology you need to know.

## Timing Terminology

See Pull Range

### Activity Dip

Activity dips result from mechanical coupling of the principal resonance mode to one or more interfering modes that exist but are not electrically excited by the sustaining circuit. Resonance frequencies of these modes shift as the environmental temperature changes. At some temperatures, the frequency of the interfering mode(s) may come close to the frequency of the desired mode, causing the main mode to loose energy. This, in turn, causes an increase in the resonator equivalent resistance which manifests as a shift in output frequency. This shift is usually a rapid jump in the frequency over temperature characteristic. After the frequency jumps, the smooth frequency curve continues on a similar trajectory as before, but it is shifted up or down due to the jump. This rapid frequency change can cause system problems such as PLL unlock or packet loss. Quartz-based resonators are susceptible to activity dips. However, SiTime MEMS-based resonators are free of activity dips.

### Aging

Aging is the change in oscillator frequency, measured in ppm over a certain time period, typically reported in months or years. This change in frequency with time is due to internal changes within the oscillator, while external environmental factors are kept constant.

### Allan Deviation

Also known as short-term frequency stability, Allan deviation (ADEV) is the measure of oscillator stability in the time-domain. It represents a frequency change over an interval of time called averaging time. Allan deviation is calculated as the root mean square (RMS) change in successive frequency measurements. The averaging time typically ranges from milliseconds to thousands of seconds depending on the target application. The formula for Allan deviation is shown below, where the y values represent the values of fractional frequency deviation between adjacent clock cycles and M is the sample size. Allan deviation is used for clock oscillators because it converges for more types of oscillator noise compared to standard deviation. Allan deviation converges for white phase modulation, flicker phase modulation, white frequency modulation, flicker frequency modulation, and random walk frequency. Allan deviation does NOT converge for flicker walk frequency modulation and random run frequency modulation.

### Clipped Sinewave Output

Clipped sinewave is a common single-ended output format often encountered in TCXO (temperature controlled oscillator) or OCXO (oven controlled oscillator) devices. The main feature of clipped sinewave output is very slow gradual rising and falling edges that resemble portions of the sinewave, hence the name. Slow rise/fall times have several benefits including reduced energy of high-frequency output harmonics that are undesirable in RF applications. This helps achieve good signal integrity with fewer restrictions in the layout rules. The drawback is slightly lower jitter performance at high frequencies compared to LVCMOS output. The diagram below shows a typical clipped sine waveform and the significantly slower rise and fall times.

### CML

Current mode logic (CML) is a common oscillator differential output format. It is an open drain type output which means the driver only drives low and that external pull-up resistors are required to pull the clock signal high during the high portion of the clock period. Two voltage swings are commonly supported, 450 mV and 850 mV. The diagram below shows a typical 450 mV waveform. CML is commonly used in telecom infrastructure applications such as wireless base stations.

### Cycle to Cycle Jitter

Cycle to cycle (C2C) jitter is defined as the variation in cycle time of a signal between adjacent cycles. It is measured over a random sample of adjacent cycle pairs (JEDEC JESD65B). The suggested minimum sample size is 1,000 cycles as specified by JEDEC. See related terms: Integrated Phase Jitter (IPJ), Long-Term Jitter, Period Jitter, Phase Noise

### Differential

In contrast to single-ended output, differential output consists of two complementary signals with 180° phase difference between the two signals. This output type is often used in high-frequency oscillators (100 MHz and above). Differential signals usually have lower voltage swing than single-ended signals, faster rise/fall times, better noise immunity, and are used when better performance or higher frequency is required. The most commonly used differential signally types are LVPECL, LVDS, and HCSL. See related term: Single-Ended

### DPPM

DPPM (defective parts per million) quantifies how many units may be defective per 1 million units. This unit of measurement is estimated with certain degree of confidence.

### Duty Cycle

Duty cycle is a clock signal specification that is defined as the ratio in percentage between the pulse duration in high state to the period of the oscillator signal. The diagram below illustrates duty cycle % = 100* TH/Period, where TH and Period are measured at the 50% point on the waveform. Typical duty cycle specifications range from 45% to 55%.

### Frequency

Frequency is the repetition rate (cycle) of the signal output from the oscillator and is measured in Hertz (Hz) per second. Many applications call for a specific oscillator frequency. Following is a list of standard frequencies and their typical applications.

### Frequency Stability

Frequency stability is a fundamental performance specification for oscillators. This specification represents the deviation of output frequency due to external conditions – a smaller stability number means better performance. The definition of external conditions can differ for different oscillator categories, but usually includes temperature variation. It may also include supply voltage variation, output load variation, and frequency aging. Frequency stability is typically expressed in parts per million (ppm) or parts per billion (ppb) which is referenced to the nominal output frequency.

### Frequency vs Temperature Slope

Frequency vs temperature slope, also shown as ΔF/ΔT, is the rate of frequency change due to a 1°C change in temperature. It quantifies sensitivity of the oscillator frequency to small temperature variations near the operating temperature point. It is one of the major performance metrics of precision TCXOs that determines if the TCXO is stable enough to support the needs of the target application. Smaller frequency vs temperature slope values mean lower frequency variation due to the temperature change in a confined temperature window. For example, an average system temperature window may be ±5°C. In systems that require time and frequency transfer using IEEE 1588, better frequency vs temperature slope helps improve time error. The unit of measure is in ppm/°C or ppb/°C. Below is a plot of the SiT5356 Elite TCXO showing the frequency slope from 12°C to 13°C with a value of 0.86 pb/°C. This plot shows frequency error vs. the nominal frequency instead of absolute frequency, hence the y-axis label FERROR. The frequency vs. temperature slope is reported as the highest absolute value of slopes observed over the total temperature rage.

### Gain Transfer or Kvco

Gain transfer or Kvco is a common characteristic of voltage controlled oscillators (VCXOs) that determines how much output frequency changes in response to a 1-V change in control voltage. This is useful in calculating the characteristics of closed loops that utilize a VCXO.

Hadamard variance is the square of the change in three successive frequency measurements. These measurements are the values of fractional frequency deviation between three adjacent clock cycles and M is the sample size. Hadamard variance converges for white phase modulation, flicker phase modulation, white frequency modulation, flicker frequency modulation, random walk frequency, flicker walk frequency modulation and random run frequency modulation. It is unaffected by linear frequency drift and well suited for analysis of Rubidium oscillators. Below is the formula for Hadamard variance, where y represent the values of fractional frequency deviation among three contiguous clock cycles and M is the sample size.

### HCSL

High speed current steering logic (HCSL) is a commonly used differential output format used for PCI Express, servers, and other applications. As shown below, it has a typical output swing of 700 mV and swings from 0V to 700 mV.

### Holdover

Holdover is a mode of operation used by systems that are synchronized to an external precision frequency and/or time reference, and that have temporarily lost this reference signal. The local oscillator should have the capability to maintain, or holdover, stable frequency and/or time within the defined limits in a system after the loss of the external reference.

### Integrated Phase Jitter (IPJ)

Phase jitter is the integration of phase noise over a certain spectrum and is expressed in picoseconds or femtoseconds. The diagram below shows an example integration band between f1 and f2 and the area under this curve is time domain picoseconds or femtoseconds of jitter.

Within the scope of oscillators, load usually refers to capacitive load – the total capacitance driven by the oscillator output. Load consists of the input capacitance of the driven IC, trace capacitance, plus any other parasitics or passive components on the printed circuit board.

### Long-Term Jitter

Long-term jitter measures the deviation of clock features from the ideal position over several consecutive clock cycles. This effectively measures how the duration of a number of consecutive clock cycles deviates from its mean value. See related terms: Cycle to cycle (C2C) jitter, Integrated Phase Jitter (IPJ), Period Jitter, Phase Noise

### LVCMOS

Low voltage CMOS (LVCMOS) is the most common single-ended output interface standard used by oscillators. Low voltage usually means less than 5V and includes 3.3V, 2.5V, 1.8V, and lower voltages. The output swing is ideally rail to rail (0V to VDD) but is typically not quite full rail at the receiver due to losses. The diagram below shows an example of a 3.3V LVCMOS signal.

### LVDS

Low voltage differential (LVDS) signaling is a common oscillator differential output format. It is usually lower power than other differential outputs and has a voltage swing of about 350 mV. This output format is commonly used in network switches, routers, wireless base stations, and telecom transmission systems. Below is a typical LVDS output waveform. See related terms: HCSL, LVPECL

### LVPECL

Low voltage positive emitter-coupled logic (LVPECL) is a common oscillator differential output format. It has a voltage swing of about 800 mV with the differential cross point at around 2V. LVPECL is used in applications where low noise is important such as network switches, routers, wireless base stations, and telecom transmission systems. The key features of LVPECL are the constant current source driver and the fact the transistors never go into saturation, which are key to low noise and fast switching speed respectively. The diagram below shows a typical differential LVPECL waveform. See related terms: HCSL, LVDS

### MEMS

Micro-electro-mechanical systems (MEMS) is the technology of microscopic devices with moving parts. In some regions, this technology is known as micro-machines or micro-systems technology. MEMS evolved from process technologies used in the fabrication of semiconductor devices. Therefore, silicon is the most common material used for manufacturing MEMS components. MEMS technology is used a wide variety of commercial applications including accelerometers, gyroscopes, microphones, and a range of sensors. MEMS have been commercially used as an alternative to quartz crystal resonators and shipping in production volume since in 2007. For more information see SiTime's MEMS First™ and EpiSeal™ Processes Technology Paper.

### MTBF

Mean time between failures (MTBF) is the predicted time between oscillator failures. Quartz-based devices usually have a MTBF in tens of millions of hours. SiTime oscillators have a MTBF of over 1 billion hours. Another measure of quality is failure in time (FIT) rate which is a number of failures in a unit of time such as millions of hours or billions of hours. For more information see SiTime Reliability Calculations Application Note.

### Operating Temperature Range

Operating temperature range is the temperature span in which all oscillator parameters are specified within in the datasheet. Common temperature ranges are listed below. Commercial, Automotive Grade 4: 0°C to 70°C Extended Commercial: -20°C to 70°C Industrial, Automotive Grade 3: -40°C to 85°C Extended Industrial, Automotive Grade 2: -40°C to 105°C Automotive Grade 1: -40°C to 125°C Military: -55°C to 125°C Automotive Grade 0: -40°C to 150°C

### Output Enable

Output enable (OE) is a feature that is used to control the oscillator output state via a digital input signal. The output enable function means that the device outputs the frequency when the control pin is pulled high and it is disabled when the pin is pulled low.

### Packaging

Oscillators are usually available in industry-standard package dimensions. The pad arrangements and corresponding solder pad layout may vary among vendors, but the overall x-y dimensions are standardized. Standard package sizes for XOs, TCXOs, and VCXOs are as follows. 2016: 2.0 x 1.6 mm 2520: 2.5 x 2.0 mm 3225: 3.2 x 2.5 mm 5032: 5.0 x 3.2 mm 7050: 7.0 x 5.0 mm OCXOs are housed in significantly larger packages that range from 9.7 x 7.5 mm to 135 x 72 mm. A common OCXO package size is 25.4 x 25.4 mm.

### Parts per Million (ppm) and Parts per Billion (ppb)

These are relative units of frequency with respect to the nominal frequency. 1 ppm means 1/106 part of a nominal frequency. 1 ppb means 1/109 part of a nominal frequency.

### Period Jitter

Period jitter is the deviation in cycle time of a clock signal over a number of randomly selected cycles (JEDEC JESD65B). The suggested minimum sample size is 10,000 cycles. The process for obtaining and computing period jitter is as follows. 1. Measure the duration (rising edge to rising edge) of one clock cycle 2. Wait a random number of clock cycles 3. Repeat the above steps 10,000 times 4. Compute the mean, standard deviation (σ), and the peak-to-peak values from the 10,000 samples See related terms: Cycle to cycle (C2C) jitter, Integrated Phase Jitter (IPJ), Long-Term Jitter, Phase Noise

### Phase Noise

In an oscillator, phase noise is the rapid, short-term, random fluctuation of the phase of a clock signal, caused by time-domain instabilities. Phase noise L[f] is expressed in decibels relative to carrier power (dBc) per 1-Hz bandwidth. It is related to the spectral density of phase fluctuations S(f) as L[f] = 10log[0.5S(f)] (US Federal Standard 1037°C, Glossary of Telecommunication Terms). In simpler terms, phase noise is a frequency domain measure of what manifests as clock jitter in the time domain. Following is a phase noise plot of a SiTime SiT9365 oscillator that highlights key information related to phase noise.

### Pull Linearity

Pull linearity is one of the characteristics that determine the quality of a VCXO. The response of the VCXO frequency to control voltage change over the full pull range should ideally be a straight line. Pull linearity quantifies how far the real characteristic is away from the perfect line. It is defined as the ratio between frequency error from the expected value to the total deviation, expressed in percent, where frequency error is the maximum frequency excursion from the so-called “Best Straight Line” drawn through a plot of output frequency vs control voltage. The diagram below illustrates this concept.

### Pull Range – Total Pull Range and Absolute Pull Range

Total pull range (PR) is the amount of frequency deviation that results from changing the control voltage over its maximum range under nominal conditions. Absolute pull range (APR) is the guaranteed controllable frequency pull range of a voltage controlled oscillator over all environmental and aging conditions. The diagram below shows the relationship between pull range and absolute pull range.

### Pullability

Pullability is the ability to control or pull oscillator output frequency over a narrow range from the nominal frequency value. The typical means of frequency control is a control voltage applied to the control voltage input pin for VCXOs. DCXOs (digitally controlled crystal oscillators) allow pulling the frequency by writing digital control words over a serial interface such as I2 C or SPI. Pullability range varies in oscillators from ±5 ppm to ±3200 ppm.

### Quality Factor, Q

Quality factor is proportional to the ratio of energy stored to energy dissipated per cycle of an oscillator as shown in the equation below. Q = 2 π Energy Stored per Cycle Energy Dissipated per Cycle Higher Q represents a better, more underdamped oscillator because less energy is lost per cycle. Q impacts close to carrier phase noise with higher Q resulting in lower (better) phase noise. The Q of an AT cut quartz resonator ranges from 10,000 to 100,000. SiTime MEMS resonators have a typical Q of 150,000.

### Retrace

Retrace is the frequency error between multiple consecutive power cycles of the oscillator. It shows how well the oscillator returns to the same absolute frequency after the power has been removed for some time and applied back to the device. Retrace is of particular importance in precision oscillators such as OCXOs. The causes of retrace are not fully understood, but can involve strain changes in the resonator’s mounting structure and contamination redistribution inside the package. SiTime TCXOs have among the industry’s lowest (best) retrace, typically less than ±10 ppb, because of extremely low contamination levels on the order of parts-per-billion (ppb) due to wafer-level encapsulation of the resonator.

### Rise/Fall Time

Rise/fall time is the duration of the rising and falling edge of the output signal typically measured between 20% and 80% or 10% and 90% of the output signal levels. The diagram below shows rise and fall time defined for 10% to 90% on a single-ended output.

### Single-Ended

In contrast to differential output, single-ended output consists of a single output clock, usually LVCMOS, which swings approximately rail to rail (0V to VDD). Single-ended output is the most common oscillator output type.

### SPL

Solder pad layout (SPL) is the layout of the printed circuit board landing pads upon which the oscillator sits. The example below shows an SPL for a 6-pin 7050 oscillator package (7.0 mm x 5.0 mm).

### Standby

Standby is a low-power mode where most of the internal circuitry is completely shut down and the oscillator does not produce any output frequency. Initiated setting digital control input pin into appropriate state.

### Start-up Time

Start-up time is the time period from when supply voltage (VDD) is applied (90%) to the oscillator and when the first output clock cycle begins. The diagram below illustrates start-up time.

### Supply Current

Supply current is the maximum operating current of an oscillator. It is measured in microamps (µA) or milliamps (mA) at the maximum and sometimes nominal supply voltage. Typical supply current is measured without load.

### Supply Voltage

Supply voltage, specified in volts (V), is the input power required to operate the oscillator. Supply voltage powers the oscillator through the VDD pin and is sometimes referred to as VDD. Standard voltages for single-ended oscillators include 1.8, 2.5, and 3.3V. Voltages for modern differential oscillators typically range between 2.5 and 3.3V. SiTime offers oscillators that operate as low as 1.2V for regulated supply applications such as coin-cell or super-cap battery backup. The supply voltage of most SiTime oscillator families is programmable, which reduces the need for external components such as level translators or voltage regulators.

### Thermal Hysteresis

Thermal hysteresis is the difference between up-cycle and down-cycle frequency over temperature characteristics and is quantified by the value of the difference at the temperature where the difference is at its maximum. Thermal hysteresis is especially important for precision oscillators such as TCXOs and OCXOs because it consumes a significant portion of the overall frequency stability budget.

The causes of thermal hysteresis are not fully understood, but can involve strain changes in the resonator mounting structure, contamination redistribution inside the package, and a thermal gradient between the temperature sensor and resonator. SiTime TCXOs have among the industry’s lowest (best) hysteresis, typically ±15 ppb over -40°C to 105°C, because of the negligible thermal lag between the oscillator and temperature sensor and the extremely low contamination levels on the order of parts-perbillion (ppb) due to wafer level encapsulation of the resonator.

See Pull Range

### Tri-State

Tri-state is the high impedance output state that typically occurs when the output is shut down by disabling the output driver and no clock signal is produced.

### VOH/VOL

Voltage output high/voltage output low (VOH/VOL) are the high and low voltage levels of the clock output. The diagram below shows how VOH and VOL relate to the clock waveform.

## Types of Timing Devices

### Crystal (X or XTAL)

A crystal is a passive resonator that vibrates at a fixed frequency. Crystals are used as external timing reference for semiconductor ICs with an integrated oscillator circuit (i.e., on-chip generation).

### Crystal Oscillator (XO) or Oscillator

An oscillator is an active device that combines the resonator and oscillator circuit into a single package. Oscillators do not require external components to generate a clock signal. Although in some cases, power supply decoupling components and/or termination resistor(s) may be required. In some regions, XOs are referred to as OSC or SPXO (simple packaged crystal oscillator). Typical frequency stability of XOs ranges from ±10 to ±100 ppm. The minimum pin count for single-ended oscillators is three pins for power, ground, and the oscillator output. However oscillators usually have at least four pins to accommodate output enable or other control functions. Differential oscillators are usually packaged in six-pin packages. Some oscillators which include serial interface control such as I2 C are packaged in 10-pin or higher pin-count packages. Frequency stability for XOs usually ranges from ±10 ppm to ±100 ppm and they are usually offered in the following packages: 7050, 5032, 3225, 2520, and 2016.

### Digitally Controlled Crystal Oscillator (DCXO) or Digitally Controlled Oscillator

A DCXO is similar to a VCXO in that both types of devices allow pulling the frequency. In some cases, DCXOs have the capability to program output frequency to a wider range beyond the limited pull range. The difference with DCXOs compared to VCXOs, is that frequency is adjusted by writing digital control words over a serial interface such as I2 C or SPI.

### Digitally Controlled Temperature Compensated Crystal Oscillator (DCTCXO) or Digitally Controlled Temperature Compensated Oscillator

A DCTCXO is a TCXO that incorporates the frequency pulling and programming functionality of a DCXO.

### Oven Controlled Crystal Oscillator (OCXO)

An OCXO provides temperature compensation and ovenization to maintain an almost constant temperature for the oscillator at as ambient temperature varies. These devices enclose the resonator, along with temperature-sensing and compensation circuits inside a heated enclosure. This temperature compensation and ovenization enables the OCXO to achieve very good frequency stability ranging from 0.05 ppb to 200 ppb. The typical package size of a quartz-crystal OCXO ranges from to 9.7 mm x 7.5 mm to 135 mm x 72 mm.

### Temperature Compensated Crystal Oscillator (TCXO) or Temperature Compensated Oscillator

A TCXO is an oscillator that incorporates temperature compensation to compensate for the frequency vs. temperature characteristic of the resonator. This compensation enables TCXOs to achieve better frequency stability than non-compensated oscillators (XOs). Frequency stability of TCXOs ranges from ±0.05 ppm to ±5 ppm. These devices are used in applications where precision timing references are required such as high performance telecom and networking equipment

### Voltage Controlled Crystal Oscillator (VCXO) or Voltage Controlled Oscillator

VCXOs incorporate a control voltage pin that controls the output frequency around the nominal frequency. The extent of frequency control is called the pull range which typically ranges from ±50 ppm to ±200 ppm but can extend to ±3200 ppm for SiTime VCXOs. VCXOs are often used in discrete jitter attenuation and clock recovery applications.

### Voltage Controlled Temperature Compensated Crystal Oscillator (VCTCXO) or Voltage Controlled Temperature Compensated Oscillator

A VCTCXO is a TCXO that incorporates a control voltage pin to allow the output frequency to vary around the nominal frequency. The frequency tuning range for a VCTCXO is typically ±5 ppm to ±25 ppm. Some vendors refer to these devices as TCVCXOs.