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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 ⁢k⁢T= a k ⁢u⁢0+ISI+ν⁢k⁢T 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 ⁢s⁢t−n⁢T X t n a n s t n T
(2)
We can design s⁢t s t such that
u⁢n⁢T={large  if  n=0zero or small  if  n≠0 u n T large n 0 zero or small n 0
(3)
where y⁢k⁢T= a k ⁢u⁢0+∑n=−∞∞ a n ⁢u⁢k⁢T−n⁢T+ν⁢k⁢T 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, n≠k n k .) Also, y⁢n⁢T=s*⁢g*⁢ h opt ⁢n⁢T y n T s g h opt n T The signal s⁢t 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

y⁢k⁢T=∑n=−∞∞ a n ⁢(k⁢T−n⁢T)+ν⁢k⁢T y k T n a n k T n T ν k T
(4)
By observing y⁢T , y⁢2⁢T , … 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?

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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.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks