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Unformatted text preview: Homework #4 – Solution Key For a ) consider relation ∆= R R 1 where = − 4 B ∆ 10 2 A.1 – When is decimation and expansion commutative? From B.Porat p.464 we have the definitions for expansion and decimation: x[nM / L] nM divisible by L {x(↓ M ) }(↑ L ) = 0 else x[nM / L] n divisible by L { x ( ↑ L ) }( ↓ M ) = 0 else These two expressions are equal if M and L are coprime. In that case M is not divisible by L and so “n” will determine divisibility in both cases. ...
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This note was uploaded on 10/30/2009 for the course EE 4541 taught by Professor Na during the Fall '06 term at Kentucky.
 Fall '06
 NA

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