Quality Factor Of Bandpass Filter

December 22, 2023 Post a Comment

Quality factor of bandpass filter

A band-pass filter can be characterized by its Q factor. The Q-factor is the reciprocal of the fractional bandwidth. A high-Q filter will have a narrow passband and a low-Q filter will have a wide passband. These are respectively referred to as narrow-band and wide-band filters.

What is the Q factor for narrow band pass filter?

Explanation : Narrow & Wide band-pass filters can be distinguished only on the basis of quality factor. This figure of merit conveys that if 'Q' > 10, the filter is considered to be a narrow band-pass filter whereas if 'Q' < 10 , then the filter is considered as a narrow band-pass filter.

What is quality factor of low-pass filter?

The Q or quality factor of a filter describes the selectivity of the circuit. For a 2nd-order band-pass filter it defines the bandwidth to the center frequency, Q = B/fc and the higher the bandwidth the more selective is the filter. The center frequency of an active filter is tuneable and therefore its Q-factor.

What is quality factor formula?

Q-factor: In LCR Circuit, the ratio of resonance frequency to the difference of its neighbouring frequencies so that their corresponding current is 1/2 times of the peak value, is called Q-factor of the circuit. Formula: Q=R1CL.

What is meant by quality factor?

In physics and engineering, the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation.

How is Q factor of bandpass filter calculated?

For a band pass filter, the quality factor is the ratio of the center frequency of the bandpass over the entire bandpass region from the lower to upper cutoff frequencies. Therefore, for a bandpass filter, the quality factor, Q= fcenter/ (f2 - f1).

What is the Q of a Butterworth filter?

This is because it has a “quality factor”, “Q” of just 0.707. However, one main disadvantage of the Butterworth filter is that it achieves this pass band flatness at the expense of a wide transition band as the filter changes from the pass band to the stop band.

What is a good Q factor value?

Good high-Q capacitors can have a Q factor value of over 10,000 at 1MHz and over 1,000 at 100MHz, while standard capacitors can have a Q factor as low as 50 at 1kHz. The difference between a high-Q capacitor and a standard capacitor is in the actual design of the capacitor, as as well as the materials used.

What is FS in low pass filter?

If Specify order is selected in the Filter Order region, specify the following frequencies in the text boxes: Fs (sampling frequency)--required when Hz , kHz , MHz , or GHz is selected. Fc (or wc)--cutoff frequency, the frequency at which the magnitude response is 3 dB below the passband gain.

What is high pass and low pass filter?

Low pass filter: Low pass filter is the type of frequency domain filter that is used for smoothing the image. It attenuates the high frequency components and preserves the low frequency components. High pass filter: High pass filter is the type of frequency domain filter that is used for sharpening the image.

What is the range of low pass filter?

Low Pass Filter Summary This cut-off frequency point is 0.707 or -3dB ( dB = –20log*VOUT/IN ) of the voltage gain allowed to pass. The frequency range “below” this cut-off point ƒC is generally known as the Pass Band as the input signal is allowed to pass through the filter.

What is Q factor write its formula?

Q = Pstored/Pdissipated = I2X/I2R Q = X/R where: X = Capacitive or Inductive reactance at resonance R = Series resistance. This formula is applicable to series resonant circuits, and also parallel resonant circuits if the resistance is in series with the inductor.

How is Q factor measured?

To measure the Q factor, simply measure the distance between the pedals. However, since the cranks are alternating, you should measure the distance by rotating the crank on the bicycle while applying a measuring tape.

What is the unit of Q factor?

As quality factor is dimensionless, thus it has no SI unit.

What are the 3 types of quality?

The levels of quality that the authors talk about are: Acceptable quality. Appropriate quality. Aspirational quality.

What are the three quality factors?

The 11 factors are organised into three product quality factors – product operation, product revision, and product transition factors.

Why is the quality factor important?

Bandwidth: When the Q factor or quality factor is increased then the bandwidth of the tuned circuit is decreased. When bandwidth is decreased then losses through the circuit are decreased, and the tuned circuit becomes shaper, and now more energy is stored in the circuit.

What is Q factor and selectivity?

Selectivity of a resonant circuit is defined as the ratio of resonant frequency fr to the half power bandwidth. Selectivity = resonance frequency/3-dB Bandwidth. = f r f 2 − f 1. Important Points. The quality factor Q is defined as the ratio of the resonant frequency to the bandwidth, i.e.

What is 3 dB frequency formula?

The cutoff frequency of a device (microphone, amplifier, loudspeaker) is the frequency at which the output voltage level is decreased to a value of (−)3 dB below the input voltage level (0 dB). (−)3 dB corresponds to a factor of √½ = 1/√2 = 0.7071, which is 70.71% of the input voltage.

Why Butterworth is called Butterworth filter?

It is also referred to as a maximally flat magnitude filter. It was first described in 1930 by the British engineer and physicist Stephen Butterworth in his paper entitled "On the Theory of Filter Amplifiers".