Passive Band Pass RC Filter, Study Guides, Projects, Research of Design

Download Passive Band Pass RC Filter and more Study Guides, Projects, Research Design in PDF only on Docsity! Passive Band Pass RC Filter Introduction We can say that a Band pass filter is a combination of both low pass filter and high pass filter. The name of the filter itself indicates that it allows only a certain band of frequencies and blocks all the remaining frequencies. In audio applications, sometimes it is necessary to pass only a certain range of frequencies, this frequency range do not start at 0Hz or end at very high frequency but these frequencies are within a certain range, either wide or narrow. These bands of frequencies are commonly termed as Bandwidth. Passive Band Pass Filter Band pass filter is obtained by cascading passive low pass and passive high pass filters. This arrangement will provide a selective filter which passes only certain frequencies. This new RC filter circuit can able to pass either a narrow range of frequencies or wide range of frequencies. This passage range of frequencies that is either narrow or wide range will depend upon the way the passive low pass and high pass filter cascade. The upper and lower cut-off frequencies depend on filter design. This band pass filter is simply appears like a frequency selective filter. The above figure shows the Band pass filter circuit. The input given is a sinusoidal signal. The properties of low pass and high pass combinations give us Band pass filter. By arranging one set of RC elements in series and another set of RC elements in parallel the circuit behaves like a band pass filter. This gives us a second order filter because the circuit has two reactive components. One capacitor belongs to low pass filter and another capacitor belongs to high pass filter. Without any variations in the input signal this band pass filter will pass a certain range of frequencies. This filter does not produce any extra noise in the signal. The cut-off frequency of the circuit can be calculated as follows. fC = 1/(2πRC) By adjusting the cut-off frequencies of the high pass and low pass filters we can obtain the appropriate width of the pass band for the band pass filter. Since this filter passes a band of frequencies this filter contains two cut off frequencies, lower cut-off frequency ‘ fL' and higher cut-off frequency ‘fH’. Thus the range of the frequencies which are passed through the filter is called as Band Width of the filter. In general the Band Width of the circuit can be calculated by the frequencies 'fH and fL'. BW = fH - fL Where, fH is the cut-off frequency of the high pass filter and fL is the cut-off frequency of the low pass filter. ‘BW’ is the bandwidth of the filter. The band pass filter will pass the frequencies higher than the cut off frequency of the high pass filter and lower than the cut off frequency of the low pass filter. This shows that the cut off frequency of the low pass filter must be higher than the cut off frequency of the high pass filter. Passive Band Pass Filter Summary The band pass filter is obtained by cascading a low pass and high pass filter. It is a second order filter since it contains two reactive elements. The order of the filter depends on the number of cascading circuits using in the circuit. The gain of the output signal is always less than the input signal. At the centre frequency the output signal is in-phase, but below centre frequency the output signal leads the phase with shift of +90° and above centre frequency the output signal will lag in phase with the phase shift of -90°. The practical characteristics of the band pass filter are a bit different with respect to the ideal characteristics. This variation is mainly due to cascading of high pass filter with low pass filter. The output gain is always less than unity. When we provide electrical isolation between the high pass and low pass filters we can attain better performance of the filter. The band pass filter will optimize the sensitivity of the receiver. The high pass filter is first added to the design later low pass filter is added. Even though if we add a low pass filter first and then the high pass filter it will never make changes in the output signal. The quality factor of the filter will depend upon the resistor value R1. If R1 is low the quality factor is low and if the R1 value is high then, the quality factor is high. Applications of Band Pass Filter • These are used in wireless communication medium at transmitter and receiver circuits. In transmitter section this filter will pass the only required signals and reduces the interfering of signals with other stations. In receiver section, it will help from unwanted signal penetration in to the channels. • These are used to optimize the signal to noise ratio of the receiver. • These are used in optical communication area like LIDARS. • They are used in some of the techniques of colour filtering. • These are also used in medical field instruments like EEG. • In telephonic applications, at DSL to split phone and broad band signals.