AttenuationVoltage loss in dB suffered
by a signal in passing through a dissipative network or other medium.
Band Reject FilterA filter that rejects one band of frequencies and passes both higher and lower frequencies. Sometimes called a notch filter.
Bandpass FiltersA filter that passes one band of frequency and rejects both higher and lower frequencies.
BandwidthThe width of the passband of a bandpass filter is the frequency difference between lower and upper 3dB points.
Bessel FunctionA mathematical function used to yield maximally constant time delay in a filter with no consideration for amplitude response. This function is very close to a Gaussian function.
Butterworth FunctionA mathematical function used to yield maximally constant amplitude response in a filter with no consideration for time delay, or phase response.
Center Frequency (F0)In standard Bandpass Filters the center frequency is geometrically related to the 3dB points,
F1 & F2
F0 = F1
In Linear Phase (Constant Delay) Bandpass Filters the center frequency is arithmetically related to the 3dB points
F1 & F2
F0 = 1/2(F1 + F2)
Characteristic ImpedanceThe characteristic impedance of a
filter is usually taken as equal to L/C
where L is the total series inductance in
Henries and C is the total shunt capacity in Farads. Characteristic impedance is measured in ohms.
Chebyshev FunctionA mathematical function that produces a curve that ripples within certain bounds (see ripple). This produces a squarer amplitude response than the Butterworth Function but with less desirable phase, and time delay characteristics. There is a whole family of Chebyshev functions (0.1 ripple, 0.5 ripple, etc.).
Cutoff Frequency(Fc)The upper passband edge in lowpass filters
or the lower passband edge in highpass
filters. The passband edge closest to the stop band. Sometimes called the 3dB
Decibel(dB)A unit of gain or attenuation for expressing the ratio of two voltages. It is used to describe voltage gain, voltage loss, performance figure or anything which can be considered
as a ratio of two voltages. A decibel is defined as 20 Log (E1/E2) where
E1 and E2 are two voltages such as input and output
voltages, or peak voltage and average voltage, etc.
DissapationEnergy losses in a filter due to resistive or core losses, etc.
DistortionGenerally speaking, the modification of signals which produce undesirable end effect. These modifications can relate to phase, amplitude, delay etc. The distortion of a sinewave is usually defined as the percentage of signal power remaining after the fundamental sinewave component has been removed.
Elliptic FunctionA mathematical function used to yield the squarest possible amplitude fitter response with a given number of circuit elements. The elliptic function has a Chebychev response in both the passband and the stop band. The elliptic function filter has a poorer phase response and transient response than any of the classical transfer functions.
Envelope DelayThe propagation time delay of the envelope of an amplitude modulated signal as It passes through a filter. Sometimes called time delay or group delay. Envelope delay is proportional to the slope of the phase shift response versus frequency curve. Envelope delay distortion occurs when the delay is not constant at all frequencies in the passboard area.
Filter QAn important parameter of bandpass and band reject filters:
Bandpass & Band Reject Q
Gaussian FunctionA mathematical function used to design a filter which passes a step function with zero overshoot with maximum rise time. Similar to a Bessel Function filter.
Highpass FilterA filter which passes high frequencies and rejects low frequencies.
Insertion LossThe loss of signal caused by a filter being inserted in a circuit. It has many different definitions and is usually measured in dB. In general, it is the ratio of voltage delivered to the load (at peak frequency response) with the filter in the circuit, to the voltage in the load if a perfect lossless matching transformer replaced the filter. When a filter is inserted between two circuits whose impedance differs widely, it is sometimes more practical to specify insertion loss some other way.
Linear Phase FilterA filter that exhibits a constant change in degrees per unit of frequency. The resultant plot of frequency versus phase is a straight line. This type of filter ideally displays a constant delay in its
Load ImpedanceThe impedance that normally must be connected to the output terminals of the filter in order to meet filter specifications; the filter will drive this load.
Lowpass FilterA filter which passes low frequencies and rejects high
OvershootThe amount in percent by which a signal exceeds its steady- state output on its initial rise.
PassbandThe frequency range in which a filter is intended to pass
Passband RippleVariations of atttenuatlon with frequency within the passband of a filter.
Phase ShiftThe changing of phase of a signal as it passes through a filter. A delay in time of the signal is referred to as phase lag and in normal networks, phase lag increases with frequency, producing a positive envelope delay (see envelope delay).
Relative AttenuationAttenuation measured with the point of minimum attenuation taken as zero dB, or Relative Attenuation
Attenuation minus Insertion Loss.
ResponseThe term used to describe how a filter reacts to input signals. It is defined as the ratio of the input signal compared to the output signal (for amplitude response and phase response).
RippleGenerally referring to the wavelike variations in the amplitude response of a filter. Chebyshev and Elliptic Function filters ideally have
equi-ripple characteristics, which means that the differences in peaks and valleys of the amplitude response in the passband are always the same.
Butterworth, Gaussian, and Bessel functions have no ripple. Ripple is usually measured in dB.
Rise TimeThe length of time it takes a step-function at the output of a filter to move from 10% to 90% of its steady state value on the initial rise.
Roll OffA term used to describe the stop band characteristics of a filter. For example, a filter may be specified to have a roll off of 42dB per octave. This is somewhat obsolete method of specifying a filter characteristic. It implies that the second octave would be down 84dB and the third octave 126dB and so on. In reality the ultimate attenuation levels off at somewhere around 80dB and spurious come-backs are difficult to keep below 80dB.
Shape FactorAn important parameter of all filters:
Band & Band Reject: S =
Lowpass & Highpass: S
Step FunctionA signal change in amplitude from one level to another which occurs in zero time. Usually refers to a rectangular front wavefrom used in testing transient response.
Stop BandThe area of frequency where it is desirable to reject or attenuate all signals as much as practical. Also called reject band.
SynthesisA modern mathematical approach for the approximation of realizeable transfer functions used in the design of bandpass filters.
Time DelayThe amount of time it takes for
certain signals to pass through a filter.