3F4%20Line%20Coding-%20PSD%20Proof

1
3F4 Line Coding- PSD Proof

• Dr. I. J. Wassell

2
PSD Proof
From previously,
Where,
We now wish to change the order of integration.
To do this we split into two separate summations
(over m), with appropriate limits for m and n in
the summations.
3
PSD Proof
4
PSD Proof
Now,
Where T(2N1)Ts, so
Consequently,
5
PSD Proof
Provided R(m) becomes sufficiently small for
large values of m, i.e., the second summation is
less than infinity which means that the second
term is zero.