The RF Characteristics that Define the Performance of a Filter
Time : 2023-05-26

In last article, we introduced the basic concepts of filter. Today, we’d like to discuss further about the RF characteristics of the filter and how it defines its performances.

Usually, the RF characteristics used to describe the filter performance are:

 

  • Orders (Stages)
  • Absolute bandwidth / Relative bandwidth
  • Cutting Frequency
  • VSWR
  • Out-of-Band Rejection
  • Ripple in band
  • Insertion loss
  • Flatness in band
  • Phase Linearity
  • Absolute Group Delay
  • Group Delay Variation
  • Power capacity
  • Phase Consistency
  • Amplitude Consistency
  • Operating temperature

 

These RF performance indicators of the filter are explained one by one as follow.

Orders (Stages): For high-pass and low-pass filters, the steps is the sum of the number of capacitors and inductors in the filter. For a bandpass filter, the steps is the total number of parallel resonators; for a band stop filter, the order is the total number of series resonators and parallel resonators.

Absolute bandwidth/relative bandwidth: This indicator is usually used for bandpass filters, which characterizes the signal frequency range that can pass through the filter and reflects the frequency selection of the filter. Relative bandwidth is the percentage of absolute bandwidth to center frequency.

Five orders Low Pass Filter

Five orders Low Pass Filter

Five orders High Pass Filter

Five orders High Pass Filter

Six orders Band Pass Filter Stimulation Curve

Six orders Band Pass Filter Stimulation Curve

Cutoff frequency: The cutoff frequency is usually used for high-pass and low-pass filters.

For a low-pass filter, the cutoff characterizes the highest frequency range that the filter can pass. For a high-pass filter, the cutoff frequency characterizes the lowest frequency range that the filter can pass.

VSWR: It is the S11 measured by a vector network analyzer, which indicates the matching degree of the filter port impedance and the impedance required by the system. Indicates how much of the input signal fails to enter the filter and is reflected back to the input.

Nine orders Low Pass Filter Stimulation Curve

Nine orders Low Pass Filter Stimulation Curve

Insertion Loss: it represents the energy lost after the signal passes through the filter, that is, the energy consumed by the filter.

Passband flatness: the absolute value of the difference between the maximum loss value and the minimum loss value within the passband range of the filter.

Out-of-Band Rejection: The amount of “attenuation” outside the frequency range of the filter’s passband. It shows the selectivity performance of a filter to unwanted frequency signals.

Band Pass Filter Stimulator curve

Band Pass Filter Stimulator curve

Ripple: The difference between the peak and trough of the undulating S21 curve within the passband of the filter.

Phase linearity: The phase difference between the phase in the passband frequency range of the filter and a transmission line with a delay equal to the center frequency. It characterizes the dispersion characteristics of the filter.

Absolute Group Delay: The time it takes for a signal within the passband of the filter to travel from the input port to the output port.

Group delay fluctuation: The difference between the maximum and minimum values of the absolute group delay within the passband of the filter. It stands for the dispersion characteristics of the filter.

Band Pass Filter Stimulator curves

Band Pass Filter Stimulator Curve

Band Pass Filter Stimulator Group Delay Curve

Band Pass Filter Stimulator Group Delay Curve

Power Capacity: The maximum power of the passband signal that can be input to the filter.

Phase consistency: the difference in the phase of the transmission signal between different filters of the same index and the same batch. It characterizes the difference (consistency) between batches of filters.

Amplitude consistency: the difference in transmission signal loss between different filters of the same index and the same batch. It characterizes the difference (consistency) between batches of filters.

Operating temperature: The temperature range in which the filter can work normally according to the required parameters. It is used to characterize the adaptability of the filter to the temperature environment.

Filters of various structures have their own performance characteristics, and these characteristics correspond to different application occasions.

It does matter on selecting the right filter to improve the system performance of multiple requirements.

In the next article, we will describe the pros and cons of filters with different structures, so stay tuned.