Digital Signal Processing Reference
In-Depth Information
A n alog sign a l
Digit a l data: 10 1 10
1
1
0.5
0
0
-1
0
2
4
6
0
2
4
6
t-->
t-->
A WGN Noi s e
A WGN Noi s e
1
1
0.5
0.5
0
0
0
2
4
6
0
2
4
6
t-->
t-->
Noisy d(t) at Rx
N o isy v(t) at Rx
2
2
1
1
0
0
-1
0
2
4
6
0
2
4
6
t-->
t-->
Fig. 1.6 AWGN attacked digital and analog signal
hand of we want to convert a digital low pass filter into a high pass filter, we
can easily change the digital filter transfer function [H(z)] just by changing some
coefficients ( a 0 , a 1 , a 2 ...
., b 0 , b 1 , b 2 ,
...
.. ).
Where
a 1 z 1
a 2 z 2
a 0 +
+
+ ...
..
H ( z )
=
b 0 +
b 1 z 1
+
b 2 z 2
+ ...
..
Just taking the example of any multimedia audio player, we can get a clear
view of the system. When the graphic equalizer is set to a 'high treble' preset, the
entire system of reconstruction process responds as a highpass filter. Just at the
very next instance if anyone chose to listen 'high bass' music, the reconstruction
system responds like a lowpass filter. It's done only by dynamically change of
coefficients values.
4. Aging: Aging signifies growing older of the system. It is obviously less effective
in case of digital systems. In case of analog systems, the output may change after
a few years due to aging of the discrete analog components like diode. As time
goes, the cut-in voltage of the diode increases slowly and unsteadily. This causes
fluctuation in the system performance. In digital systems, the system error due
to the problem of aging is totally absent.
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