5 filter passive

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    FILTER

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    A filter is a device that passes electricsignals at certain frequencies or

    frequency ranges while preventing the

    passage of others.Electronic filters are electronic circuits

    which perform signal processing

    functions, specifically to remove

    unwanted frequency components fromthe signal, to enhance wanted ones, or

    both.

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    Passive or active

    Analog or digitalHigh pass, low pass, bandpass.

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    Combinations of resistors (R),

    inductors (L) and capacitors (C)

    Do not depend upon an externalpower supply

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    RC and RL filters,

    L-section, T-section and -section

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    An active filter is a type of analog electronic

    filter.

    Combination of passive and active (amplifying)

    components,

    Require an outside power source.

    Op-amps are frequently used in active filter

    designs.

    These can have high Q factor and can achieveresonance without the use of inductors.

    However, their upper frequency limit is limited

    by the bandwidth of the amplifiers used.

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    Passive filter:

    1. Using passive components such as resistors,

    capacitors , inductors etc

    2. No power consumption.3. low voltage gain.

    Active filter:

    1. Using active components such as transistor,

    op amps etc

    2. need power source

    3. can have high voltage gain

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    PASSIVE FILTER

    Speaker

    Power supply

    Filters in power distribution networks etc

    ACTIVE FILTER

    Instrumentation Communication

    Audio application

    Biomedical systems

    etc

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    Inductors block high-frequency signals and

    conduct low-frequency signals,

    Capacitors do the reverse.

    Resistors have no frequency-selectiveproperties, but are added to inductors and

    capacitors to determine the time-constants

    of the circuit, and therefore the frequencies

    to which it responds.

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    Passive filter can be divided into three (3)

    types:

    i. Low pass filter

    ii. High pass filteriii. Band pass filter

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    Cut-off frequency - a frequency level above

    or below which a device fails to respond or

    operate efficiently .the cutoff frequency

    reduces energy flow through the device andprevents it from working as designed.

    Frequency pass-band - The range of

    frequencies that can pass through the filter.

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    Frequency bandwidth - the frequency range

    between two specified frequency cut-off

    points (c), that are 3dB below the maximum

    centre or resonant peak while attenuating orweakening the others outside of these two

    points.

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    Consists of a resistor and capacitor .

    The capacitive reactance, (Xc) will be very

    large compared to the resistive value of theresistor, R

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    As a result the voltage across the capacitor, Vc

    will also be large while the voltage drop across

    the resistor, Vr will be much lower.

    At high frequencies the reverse is true with Vc

    being small and Vr being large.

    A filter in which the signal passes through an

    inductor, or in which a capacitor provides a

    path to ground, presents less attenuation to

    low-frequency signals than high-frequency

    signals

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    = RC

    Gain (dB) = 20 log Vout

    Vin

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    an input voltage across the series

    combination of a capacitor and a resistor

    and using the voltage across the resistor asan output.

    http://en.wikipedia.org/wiki/Capacitorhttp://en.wikipedia.org/wiki/Resistorhttp://en.wikipedia.org/wiki/Resistorhttp://en.wikipedia.org/wiki/Capacitor
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    If the signal passes through a capacitor, or

    has a path to ground through an inductor,

    then the filter presents less attenuation to

    high-frequency signals than low-frequency

    signals.

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    The circuit gain, Av which is given as

    Vout/Vin (magnitude) and is calculated as:

    Gain (dB) = 20 log VoutVin

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    By connecting or "cascading" together a single

    Low Pass Filter circuit with a High Pass Filter

    circuit, produces a Band Pass Filter. Band Pass Filters passes signals within a certain

    "band" or "spread" of frequencies without

    distorting the input signal or introducing extra

    noise.

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    This band of frequencies can be any width

    and is commonly known as the filters

    Bandwidth.

    Bandwidth is defined as the frequency range

    between two specified frequency cut-off

    points (c), that are 3dB below the maximum

    centre or resonant peak while attenuating or

    weakening the others outside of these two

    points.

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    BW = HL

    The upper and lower cut-off frequency points

    for a band pass filter can be found using the

    same formula as that for both the low and highpass filters, For example.

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    High-pass filters attenuation of frequencies

    below their cut-off points.

    Low-pass filters attenuation of frequencies

    above their cut-off points. Band-pass filters attenuation of frequencies

    both above and below

    those they allow to pass.

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    1. Explain the frequency response for thefollowing filter below:-

    i. Low pass filter

    ii. High pass filteriii. Bandpass filter

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    The Bode Plot shows the Frequency

    Response of the filter to be nearly flat for

    low frequencies and all of the input signal is

    passed directly to the output, resulting in a

    gain of nearly 1, called unity, until it reaches

    its Cut-off Frequencypoint ( c ).

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    This is because the reactance of the

    capacitor is high at low frequencies and

    blocks any current flow through the

    capacitor. After this cut-off frequency point

    the response of the circuit decreases giving a

    slope of -20dB/ Decade or (-6dB/Octave)

    "roll-off" as signals above this frequency

    become greatly attenuated, until at very

    high frequencies the reactance of the

    capacitor becomes so low that it gives the

    effect of a short circuit condition on the

    output terminals resulting in zero output.

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    For this type ofLow Pass Filter circuit, all

    the frequencies below this cut-off, c point

    that are unaltered with little or no

    attenuation and are said to be in the filters

    Pass band zone. This pass band zone also

    represents the Bandwidth of the filter. Any

    signal frequencies above this point cut-off

    point are generally said to be in the filters

    Stop band zone and they will be greatly

    attenuated.