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A switched-capacitor filter’s cutoff or center frequency is tied to its switching clock by a ratio set by the specific device. Because the filter samples its input, frequencies above half the clock rate can alias into the band you want to keep. If the source may contain such energy, consider analog filtering before the switched-capacitor stage; an input RC network can help, but its own response must not remove wanted signal. External-component requirements also vary by part and operating range, so use the selected device’s datasheet and application circuit rather than assuming one standard design.
What does the clock rate do?
A switched-capacitor circuit uses periodic switching to emulate frequency-dependent behavior. Its characteristic frequency—such as a low-pass cutoff or a filter’s center frequency—therefore tracks the switching clock. The exact relationship is device-specific: the clock is not simply interchangeable with the filter cutoff, and there is no one universal clock-to-cutoff ratio for all switched-capacitor filters.
Texas Instruments describes the center or cutoff frequency as proportional to the clock and notes that it can be varied over a wide range without changing external circuitry. Its filter introduction also discusses different ratios used by different devices. A clock-frequency change consequently shifts the filter’s characteristic frequency in proportion to the device’s ratio. Clock error or instability likewise affects that frequency.
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Use the chosen part’s ratio, not a class-wide rule
The TLC04 is one concrete example: its listed clock-to-cutoff ratio is 50:1. With that ratio, a 30 kHz cutoff corresponds to a 1.5 MHz clock, calculated as 30 kHz × 50. TI lists a cutoff-frequency range of 0.1 Hz to 30 kHz under the supply conditions shown on its product information page. Those figures describe this device and its listed conditions, not every switched-capacitor filter. Check its datasheet for the permitted clock range and other operating limits before selecting a clock.
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A separate example in Analog Devices’ historical Design Note 16 uses an LTC1064-1 as an eighth-order Cauer low-pass filter with a 40 kHz cutoff and a 4 MHz clock. The figures describe that particular circuit; they do not establish a general ratio for other parts. The note’s example is available in Design Note 16.
Translate a target frequency into a clock choice
- Define the wanted response. Identify whether the application needs a low-pass cutoff, a high-pass response, a notch, or a band-pass center frequency, and determine the useful passband and transition width.
- Find the device’s stated ratio and clock limits. Use the selected part’s datasheet and application circuit. Do not infer its ratio from a different part’s example.
- Calculate the corresponding clock. For a stated clock-to-cutoff ratio, multiply the desired cutoff by that ratio. Verify that the result lies within the part’s specified operating range.
- Check clock quality and system effects. Account for clock stability and frequency error, then inspect the device documentation for clock ripple, feedthrough, noise, distortion, and supply requirements relevant to the system.
This sequence helps distinguish two related but different questions: whether the clock can place the filter response where needed, and whether the sampled-data behavior and clock-related artifacts are acceptable in the full signal path.
Why can aliasing happen?
A switched-capacitor filter is a sampled-data system. Sampling can make some higher-frequency input content appear at a lower apparent frequency. TI’s filter introduction identifies input frequencies higher than one-half the clock frequency as a source of aliasing in switched-capacitor filters. Analog Devices explains the system consequence in its anti-aliasing article: if an out-of-band signal aliases into the band of interest, downstream processing cannot recover which part of the observed signal came from the original in-band content and which came from the aliased input.
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That is why a filter’s intended passband alone does not establish protection from all unwanted input frequencies. Consider the input spectrum as well as the filter response. A source may carry energy far above the useful passband; if that energy reaches the sampling operation and folds into the band you care about, the switched-capacitor filter cannot restore the original distinction afterward.
Does every design need an anti-alias filter?
Not automatically. The need depends on the signal the source can deliver, the selected filter and clock, and how much aliased energy the application can tolerate. If input content above half the clock rate is negligible, or the system’s signal and rejection requirements otherwise permit it, a separate input filter may not be needed. If significant out-of-band energy could alias into a sensitive band, address it in the analog path before the switched-capacitor stage.
Anti-alias filtering has to occur before the sampling operation. Once aliasing has happened, filtering after that stage cannot generally distinguish the aliased component from genuine signal at the same apparent frequency. Analog Devices states the principle directly: “Anti-aliasing must be done in the analog domain, before the signal is sampled.”
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Can a simple RC filter go before the switched-capacitor filter?
An input RC low-pass is one possible way to reduce unwanted high-frequency energy before sampling. It is not a universal fix: its corner frequency and attenuation have to suit both the source spectrum and the rejection the application needs. A single RC choice cannot be assumed to remove every possible alias-producing component while preserving every desired signal.
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Practical checks before choosing an RC network
- Establish the useful input band and the highest out-of-band energy the source may contain.
- Identify which out-of-band components could alias into a frequency region that matters.
- Set the required reduction for those components and check whether a simple RC response can supply it.
- Check the RC network’s effect across the wanted passband, especially before a high-pass or notch function.
- Verify the complete source-to-filter response in the intended circuit; do not treat the RC section as a substitute for checking the selected device’s datasheet and application circuit.
The sources do not establish a universal RC corner frequency. It depends on the input spectrum, desired response, and acceptable alias rejection for the particular system.
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What external components does a switched-capacitor filter need?
Requirements differ by device and sometimes by operating range or response requirement. Some filters may need no external components for a stated function or range; others need support components to meet a response condition. Always confirm the pin connections, clock, supply, input and output constraints, and any required capacitors in the selected part’s current datasheet and application circuit.
Two device examples show why the datasheet matters
- LTC1064-1: Analog Devices’ Design Note 16 says no external components are required for cutoff frequencies up to 20 kHz in the described use. Above 20 kHz, it specifies two small capacitors to maintain passband flatness. Its eighth-order Cauer example has a 40 kHz cutoff and uses a 4 MHz clock. These are part- and circuit-specific details in a historical design note, not a rule for the entire filter category.
- TLC04: TI describes a fourth-order Butterworth low-pass with a 50:1 clock-to-cutoff ratio and a listed 0.1 Hz to 30 kHz cutoff range under its stated supply conditions. Those product details do not, by themselves, replace checking the full datasheet for the circuit’s external-component and operating requirements.
The TLC04 figures are on TI’s product information page; the LTC1064-1 guidance is in Design Note 16. Neither example should be generalized to unrelated parts. Current lifecycle and inventory status are not established by those technical examples.
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A switched-capacitor filter is not identical to an ideal continuous-time filter. Analog Devices’ filter primer notes that the output may contain clock-rate steps or spikes, and that the response can depart from an ideal continuous-time model as the filter pole approaches the clock. The amount and significance depend on the design; these observations should prompt a device-specific check, not an assumption that every filter has the same artifact level.
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Analog Devices’ application note AN40 illustrates clock feedthrough, sidebands around the clock, and an input harmonic that appears as an alias in LTC1064-1 examples. These examples make the relevant inspection points concrete, but they do not specify fixed artifact levels for other parts or implementations. See AN40 and the chosen device’s documentation when deciding whether such behavior falls within the system’s bandwidth or noise limits.
How should I compare clock and filter options?
Compare candidates against the application’s actual signal and response needs rather than choosing the highest available clock or copying a ratio from another part. A useful comparison includes:
- the desired passband, cutoff or center frequency, and transition width;
- the device-specific clock-to-characteristic-frequency ratio and supported clock range;
- clock stability and the resulting effect of frequency error on the filter response;
- the expected out-of-band input content and the alias rejection the application requires;
- whether pre-sampling analog filtering can reduce that content without compromising the wanted response;
- external components needed for the chosen part and operating conditions; and
- clock ripple or feedthrough, noise, distortion, and supply requirements relevant to the application.
Manufacturer sources provide examples, not a universal optimum ratio or a universal anti-alias RC corner. Decide first what the input and passband require, then use the chosen device’s specifications to determine whether its clock and any supporting circuitry fit.
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