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ASAD ALI
Digital
Signal
Processing
FILTER AND
APPLICATION
FILTER And APPLICATION
 Introduction
 Frequency selective
 Digital Filter
 Application
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
 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
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
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
Ideal Filter
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
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
FILTER`S
APPLICATION
 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
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
Introduction of filter & application

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Introduction of filter & application

  • 4. FILTER And APPLICATION  Introduction  Frequency selective  Digital Filter  Application
  • 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