5. Introduction
what are Filters
A filter is a device or process that removes some
unwanted components or features from a signal
filter is a system that lets input signal components with
some frequencies pass with little change, while
essentially eliminating input signal components with
other frequency
Filters are designed to achives the desires frequencies
6. Frequency Selective Filters
Frequency selective filters pass signals with frequency
components in some band While they attenuate signals
containing frequency in other frequency bands.
Lowpass Filter
Highpass Filter
Bandpass Filter
Bandstop Filter
7. Low-pass filter
A low-pass filter (LPF) is a filter that passes signals with a frequency lower
than a selected cutoff frequency
Low-pass filter passes all
Signal components having frequency less than ww radian per second with no
distortion and completely attenuates signal components having frequencies
greater than wc Hz
-wc wc
w
(w)
w
8. High-pass filter
High-Pass filter passes all signal components greater than ww radian per second with no
distortion and completely attenuates signal components having frequencies less than ww
radian per second.
Band-pass Filter
Band pass filter passes all signal components having frequencies in a band of B centered at
the frequency w0 with no distortion and completely attenuates signal components having
frequencies outside this band.
Band-Stop Filter
Band stop filter is a filter that completely stops all signal components having frequencies in a
band of B
10. Digital Filter
IIF (infinite impulse Response)
FIR (Finite impulse Response)
Infinite Impulse Response
Infinite impulse response (IIR) is a property applying to many linear time-invariant
systems. ... Systems with this property are known as IIR systems or IIR filters, and
are distinguished by having an impulse response which does not become exactly
zero past a certain point, but continues indefinitely
yn = b0xn + b1xn-1 + …. + bMxn-M + a1yn-1 + … + aPyn-P
11. Finite Impulse Response (FIR)
FIR filters can have an exactly linear phase response. The implication of this is
that no phase distortion is introduced into the signal by the filter.
Where as the phase response of IIR filters is non linear, especially at the band
edges
In FIR the number of filter coefficients is not too large and in particular little
or no phase distortion is desired.
yn = b0xn + b1xn-1 + …… + bMxn-M
13. In aspect to application filter can be devided in two catagries
Analog Filter
Digital Filter
Analog Filter
Analog filter are used to remove the undesired frequencies from audio signal
It is also remove the noise from signal
It is used for preventing of signal-Noise-Ratio in multiple stage amplification
These are used in Radios , TVs and radar Communication
Telephone and Sampling systems also in Audio equipment
14. Digital Filter
There are many application of Digital Filter
They are provides accurate Response as compare to analog
filter
They also Remove undesired frequenices in digitized form
IIR filter worked faster and required less memory space
They are provides Linear phase
These are done in order to improve the efficiency of the
processing