11.1-1 In a baseband binary transmission, binary digits are transmitted by using A pt) 0

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In a baseband binary transmission, binary digits are transmitted by using

A*p(t) 0<t<Tb sending 1

-A*p(t) 0<t<Tb sending 0

The bit duration Tb second and the pulse shape is 

p(t) = 1-(|Tb-2t|)/Tb , 0<t<Tb

0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2.

a)Find the optimum reciever filter h(t) for sampling instant tm=Tb and sketch h(t) in the time domain

b)Determine the probability of error as a function of the Eb/N ratio

c)Compare the results in parts a) and b) for the case when the pulse shape is p(t) = 1-t/Tb , 0<t<Tb

11.1-1 In a baseband binary transmission, binary digits are transmitted by using
A-p(t) 0<t< T sending 1
-A p) 0<t< Ty sending 0
The bit duration is Ty second and the pulse shape is
17, – 21
Pt) = 1 –
Th
O and 1 are equally likely. The channel noise is AWGN with power spectrum N//2.
(a) Find the optimum receiver filter h(t) for sampling instant fm = Ty and sketch h() in the
time domain.
(b) Determine the probability of error as a function of the Ep/N ratio.
(e) Compare the results in parts (a) and (b) for the case when the pulse shape is
p(1) = | –
Transcribed Image Text:11.1-1 In a baseband binary transmission, binary digits are transmitted by using A-p(t) 0<t< T sending 1 -A p) 0<t< Ty sending 0 The bit duration is Ty second and the pulse shape is 17, – 21 Pt) = 1 – Th O and 1 are equally likely. The channel noise is AWGN with power spectrum N//2. (a) Find the optimum receiver filter h(t) for sampling instant fm = Ty and sketch h() in the time domain. (b) Determine the probability of error as a function of the Ep/N ratio. (e) Compare the results in parts (a) and (b) for the case when the pulse shape is p(1) = | –
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