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Multi-Carrier and Spread Spectrum Systems: From OFDM and MC ...

Multi-Carrier and Spread Spectrum Systems: From OFDM and MC ...

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<strong>Multi</strong>-<strong>Carrier</strong> FDMA 1073.2 <strong>Multi</strong>-<strong>Carrier</strong> FDMAThe concept of the combination of spread spectrum <strong>and</strong> frequency hopping with multicarriertransmission opened the door for alternative hybrid multiple access solutions suchas: <strong>OFDM</strong>A [28], <strong>OFDM</strong>A with CDM (SS-<strong>MC</strong>-MA) [18], distributed DFT-spread <strong>OFDM</strong>(Interleaved FDMA) [35], <strong>and</strong> localized DFT-spread <strong>OFDM</strong>. All of these schemes arediscussed in the following.3.2.1 Orthogonal Frequency Division <strong>Multi</strong>ple Access (<strong>OFDM</strong>A)3.2.1.1 Basic PrincipleOrthogonal frequency division multiple access (<strong>OFDM</strong>A) consists of assigning one orseveral sub-carrier frequencies to each user (terminal station) with the constraint that thesub-carrier spacing is equal to the <strong>OFDM</strong> frequency spacing 1/T s (see References [28]<strong>and</strong> [30] to [32]).To introduce the basic principle of <strong>OFDM</strong>A we will make the following assumptions:– One sub-carrier is assigned per user (the generalization for several sub-carriers peruser is straightforward).– In addition, the only source of disturbance is AWGN.The signal of user k,k = 0, 1,...,K –1,whereK = N c ,hastheforms (k) (t) = Re{d (k) (t)e j2πf kt e j2πf ct }, (3.1)withf k = k T s(3.2)<strong>and</strong> f c representing the carrier frequency. Furthermore, we assume that the frequency f k ispermanently assigned to user k, although in practice a frequency assignment could be madeupon request. Therefore, an <strong>OFDM</strong>A system with, for example, N c = 1024 sub-carriers<strong>and</strong> adaptive sub-carrier allocation is able to h<strong>and</strong>le up to thous<strong>and</strong>s of simultaneoususers.In the following, we consider a permanent channel assignment scheme in which thenumber of sub-carriers is equal to the number of users. Under this assumption the modulatorof the terminal station of user k has the form of an unfiltered modulator with arectangular pulse (e.g. unfiltered QPSK) <strong>and</strong> carrier f k + f c . The transmitted data symbolsare given byd (k) (t) =+∞∑i=−∞d (k)irect(t − iT s ), (3.3)

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