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Unit 3 - Senthil ct2

The document discusses active filters, including low pass, high pass, band pass, and band reject filters, emphasizing their role in frequency selection and signal processing. It highlights the advantages of using operational amplifiers in filter design, such as output gain and easy interfacing with other systems. Additionally, it outlines the design principles and equations for low pass and high pass filters, as well as the concept of creating a band pass filter by cascading the two types.

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Rishi upadhayay
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0% found this document useful (0 votes)
20 views19 pages

Unit 3 - Senthil ct2

The document discusses active filters, including low pass, high pass, band pass, and band reject filters, emphasizing their role in frequency selection and signal processing. It highlights the advantages of using operational amplifiers in filter design, such as output gain and easy interfacing with other systems. Additionally, it outlines the design principles and equations for low pass and high pass filters, as well as the concept of creating a band pass filter by cascading the two types.

Uploaded by

Rishi upadhayay
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Active filters: Low pass, High pass, Band

pass and Band Reject filters. IC voltage


regulators: IC 723 general purpose regulator,
Switching Regulator.

Dr. Senthil Sivakumar M,


Assistant Professor, IIIT Tiruchirappalli
Introduction:
• Filters are frequency selective circuits.
• They pass a particular group of frequencies and disallow the
remaining frequency band.
• An active filter is a type of analog circuit implemented using active
components, typically an amplifier.
• Amplifiers included in a filter design can be used to improve the
cost, performance and predictability of a filter.
• Active filters are used in various applications where precise filter
characteristics
• Audio processing,
• signal conditioning, and
• communication systems.
• In the audio frequency range, op amps combined with resistor-
capacitor pairs are widely used.
• In the higher frequency range, op amps with inductor-capacitor
combinations are used.
Introduction:
• Advantages:
• Output Gain:
• Traditional filters use passive elements like resistors, capacitors, and
inductors, tend to attenuate the input signal. Thus, the output of the
filter circuit is lesser in magnitude.
• However, in op amp filters, the op amp is capable of providing gain to
the output signal. So, the output of the op amp filters is not attenuated.
• Easy interfacing with other systems: Op amp filters have high
input impedance and low output impedance.
• Low cost and high performance: Op amps are available in
compact, discrete IC options.
• Tunability: Filters often require tuning.
• There are four types of filters; low-pass, high-pass, band-pass, and
band-elimination (also referred to as band-reject or notch)
filters.
• Passes a specified frequency range: Allows a certain
range of frequencies to pass through while blocking
others
• Attenuates unwanted frequencies: Blocks a
specified range of frequencies while allowing others
to pass through
Low pass filter

Fig.1 circuit diagram Fig.2 Frequency response

Note : The op-Amp is used in the non- inverting configuration ; hence it does not
load down the RC Network.
Output of an operational amplifier,

AF= (1+R2/R1) → Pass band gain of a filter


w=2Πf
f=input frequency
fc=1/(2ΠR3C) → cut-off frequency

Magnitude→

Phase angle→
Gain of an active low pass filter

•Where:
• AF = the pass band gain of the filter, (1 + R2/R1)
• ƒ = the frequency of the input signal in Hertz, (Hz)
• ƒc = the cut-off frequency in Hertz, (Hz)

Thus, the operation of a low pass active filter can be verified from the
frequency gain equation above as:

•1. At very low frequencies, ƒ < ƒc

•2. At the cut-off frequency, ƒ = ƒc

•3. At very high frequencies, ƒ > ƒc


Designing Low pass filter
1. Choose a value of high cut off Frequency ƒc

2. Select a value of C less than or equal to 1µF. Mylar or tantalum capacitor are
recommended for better performance.

3. Calculate R= 1/(2πƒcC)

4. Select R1 and R2
AF = the pass band gain of the filter, (1 + R2/R1)
HIGH PASS FILTER

Fig circuit diagram Fig . Frequency response


Magnitude,

Phase angle
Gain of an Active high pass filter

•Where:
• AF = the pass band gain of the filter, (1 + R2/R1)
• ƒ = the frequency of the input signal in Hertz, (Hz)
• ƒc = the cut-off frequency in Hertz, (Hz)

Thus, the operation of a low pass active filter can be verified from
the frequency gain equation above as:

•1. At very low frequencies, ƒ < ƒc


•2. At the cut-off frequency, ƒ = ƒc
•3. At very high frequencies, ƒ > ƒc
Band Pass Filter:
Band pass can be realized by simply cascading high pass and low pass section.
High pass filter,

Low pass filter

Band pass filter

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