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The steps involving finding PSD of a line code include • Determine the pulse of the code. • Check if there is a DC component in the code. This is because the derivations of PSD for signals with and without DC component are different (see notes). • Find the energy spectrum density (ESD) of the pulses. ESD is calculated from the Fourier transform of the pulses. • Divide ESD by the pulse duration to obtain PSD. EE306: Modulation and Coding 2022-Tutorial 4 Question 1 For the Manchester line code each transmitted pulse belongs to one of the following types $\tau$ A $-\tau/2$ $\tau/2$ 0 $\tau/2$ $-\tau/2$ 0 -A Pulse for 0 $p_0(t)$ Pulse for 1 $p_1(t)$ Thus there is no DC component in the Manchester line code. Next we need to find ESD of the pulses. Let us consider $p_0(t)$ which can be written as $p_0(t) = \begin{cases} -A & -\tau/2 \le t < 0\\ A & 0 \le t < \tau/2 \end{cases}$ (1) EE306: Modulation and Coding 2022-Tutorial 4

          The steps involving finding PSD of a line code include
• Determine the pulse of the code.
• Check if there is a DC component in the code. This is because the derivations of
PSD for signals with and without DC component are different (see notes).
• Find the energy spectrum density (ESD) of the pulses. ESD is calculated from the
Fourier transform of the pulses.
• Divide ESD by the pulse duration to obtain PSD.
EE306: Modulation and Coding 2022-Tutorial 4
Question 1
For the Manchester line code each transmitted pulse belongs to one of the following types
$\tau$
A
$-\tau/2$
$\tau/2$
0
$\tau/2$
$-\tau/2$
0
-A
Pulse for 0
$p_0(t)$
Pulse for 1
$p_1(t)$
Thus there is no DC component in the Manchester line code. Next we need to find
ESD of the pulses. Let us consider $p_0(t)$ which can be written as
$p_0(t) = \begin{cases} -A & -\tau/2 \le t < 0\\ A & 0 \le t < \tau/2 \end{cases}$ (1)
EE306: Modulation and Coding 2022-Tutorial 4

The steps involving finding PSD of a line code include
• Determine the pulse of the code.
• Check if there is a DC component in the code. This is because the derivations of
PSD for signals with and without DC component are different (see notes).
• Find the energy spectrum density (ESD) of the pulses. ESD is calculated from the
Fourier transform of the pulses.
• Divide ESD by the pulse duration to obtain PSD.
EE306: Modulation and Coding 2022-Tutorial 4
Question 1
For the Manchester line code each transmitted pulse belongs to one of the following types
τ
A
-τ/2
τ/2
0
τ/2
-τ/2
0
-A
Pulse for 0
p0(t)
Pulse for 1
p1(t)
Thus there is no DC component in the Manchester line code. Next we need to find
ESD of the pulses. Let us consider p0(t) which can be written as
p0(t) = -A -τ/2 ≤ t < 0
A 0 ≤ t < τ/2 (1)
EE306: Modulation and Coding 2022-Tutorial 4

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