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Unformatted text preview: E5. Due to the definitions given in equation E3, each timedomain symbol constituting { x CP + OFDM } has the following interesting property: x [ m k ] = x [( m k )% N ] where m ( N 1) and k (E6) where % represents the modulo operation. This property makes { x CP + OFDM } circularly symmetric. As a result, the convolution between the channel h and { x CP+OFDM } can be written in the form of circular convolution in the following way: y [ m ] = h [ l ] x [ m l ] l = L 1 where m ( N 1) (E7) y [ m ] = h [ l ] x [( m l )% N ] l = L 1 y [ m ] = h [ m ] x [ m ] (E8) Y [ k ] = H [ k ] X [ k ] (E9)...
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This note was uploaded on 09/27/2009 for the course ECE 399 taught by Professor Prof during the Spring '09 term at University of Texas at Austin.
 Spring '09
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