This document discusses digital signals and provides examples to illustrate the concept. It states that in a digital signal, both time and magnitude are discretized. The magnitude axis is divided into fixed levels that the signal can only take on as values. An example shows a discrete time signal taking on any value continuously, while a digital signal takes on only the fixed value levels. Increasing the number of levels reduces the error between the digital signal value and the actual signal value.
2. What is Digital Signal ?
In digital signal, we discretise both time and magnitude.
We divide the magnitude axis in to fixed number of levels and the signal take value
equal to these values only.
T(t)
t1 t2 t3 t4 t5
t= t1-t0 = tntn-1
500 C
00 C
380
240
150
90
T(t1 )= 90 C
T(t2 )= 380 C
T(t3 )= 240 C
T(t4 )= 150 C
T(t5 )= 500 C
Discrete Time Signal Digital Signal
T(t1 )= 00 C
T(t2 )= 300 C
T(t3 )= 150 C
T(t4 )= 150 C
T(t5 )= 450 C
300 C
150 C
450 C
t sec
0-9=90 C
15-9=60 C
To minimize the error,
we have to take the
lower value
DTS can have any value of temperature between 0 to 500 C
DS , can have the temperature value equal to fixed value on
3. V(t
)
tt10
5v
2v
One more example, in which we consider the digital signal with two fixed levels of voltages i.e 0 &
Case1:
At time t1,voltage is equal to 2v
Therefore V(t1)=0v, so here error voltage=2v
Case2: ( increasing the levels to 4, so(
5/4=1.25)
At time t1, voltage is equal to 2v, whereas
allowed signal voltages are 1.25v, 2.5v
,3.75v & 5v
Therefore V(t1)=1.25v, so error
voltage=0.75v
Case3: ( increasing the levels to 5)
At time t1, voltage is equal to 2v, whereas
allowed signal voltages are 1v, 2v,3v,4v
& 5v
Therefore V(t1)=2v, so here error
voltage=0v
So to reduce the error,
increase thenumberof
levels