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<p>Typically, the length of the cyclic prefix must be longer than the length of the dispersive channel to completely remove ISI The main result is that a cyclic prefix allows almost all channels, including channels with otherwise unstable inverses, to be inverted accurately and moreover, it is the most efficient way of achieving this stability. Cyclic prefix (CP) has been widely used in practice to mit-igate inter-symbol interference (ISI), for example, for OFDM in the UMTS long-term evolution (LTE)  This paper analyses the effect of different cyclic prefix lengths on OFDM performance on multipath channels using Matlab. Orthogonal frequency division multiplexing (OFDM) is a block transmission technique with bandwidth efficient signalling scheme for This paper is an attempt to understand multiple effects of varying length of cyclic prefix for Additive White Gaussian Noise (AWGN) channel and with Rayleigh fading channel distortion in high data rate OFDM sy stems, cyclic prefix is introduced to eliminate inter-symbol interference (ISI). CYCLIC PREFIX. It copies the end section of an IFFT packet to the beginning of an OF DM symbol. a‘[n] = ˆ q‘[N P+ n] n<P q‘[n P] n P; n2f0;;N+ P 1g (5) cyclic prefix (CP) are analyzed to remove the influence of symbol time offset (STO) for correct synchronization stream is divided into lowin Orthogonal Frequency Division Multiplex (OFDM) system I. INTRODUCTION FigureAn OFDM transmitter, channel model, and receiver. Here, the cyclic prefix length as the main parameter  Effects of cyclic prefix on OFDM system. Next, the last Psamples of the result of this IFFT are prepended to the beginning of the block, forming the so-called cyclic pre x, and collectively forming a block of size N+ P samples which is called one OFDM symbol. Consider sending the symbols 1,2,3 over a length FIR channel by first precoding the symbols to form one of: (A) 0,1,2,3, (B) 1,2,3,0, or (C) 3,1,2,Consider  Abstract—In this paper synchronization techniques using cyclic prefix (CP) are analyzed to remove the influence of symbol time offset (STO) for correct synchronization in  I. INTRODUCTION. Index Terms— CP-OFDM, Cramer–Rao bound, cyclic prefix, or-thogonal frequency division multiplex, TZ-OFDM.</p></translate>
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