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Precoding and Bandlimited Signals

Module by: Behnaam Aazhang. E-mail the author

Summary: A description of various ways to deal with the problem of intersymbol interference which occurs in bandlimited channels.

Precoding

The data symbols are manipulated such that

y k kT= a k u0+ISI+νkT y k k T a k u 0 ISI ν k T
(1)

Design of Bandlimited Modulation Signals

Recall that modulation signals are

X t =n= a n stnT X t n a n s t n T
(2)
We can design st s t such that
unT={large  if  n=0zero or small  if  n0 u n T large n 0 zero or small n 0
(3)
where ykT= a k u0+n= a n ukTnT+νkT y k T a k u 0 n a n u k T n T ν k T (ISI is the sum term, and once again, nk n k .) Also, ynT=s*g* h opt nT y n T s g h opt n T The signal st s t can be designed to have reduced ISI.

Design Equalizers at the Receiver

Linear equalizers or decision feedback equalizers reduce ISI in the statistic y t y t

Maximum Likelihood Sequence Detection

ykT=n= a n (kTnT)+νkT y k T n a n k T n T ν k T
(4)
By observing yT , y2T , y T , y 2 T , the date symbols are observed frequently. Therefore, ISI can be viewed as diversity to increase performance.

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

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