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Advantages of Cyclic Prefix CP-OFDM | Disadvantages of CP

This page covers advantages and disadvantages of Cyclic Prefix (CP) in OFDM. It mentions benefits or advantages of Cyclic Prefix (CP) and drawbacks or disadvantages of Cyclic Prefix (CP).

What is Cyclic Prefix ?

Introduction:
OFDM stands for Orthogonal Frequency Division Multiplexing. Unlike FDM, OFDM consists of densely packed subcarriers which are orthogonal to each other. Peak of one subcarrier occurs at null of the other as shown. OFDM is more bandwidth efficient than FDM.

OFDM is used in WLAN, WIMAX and LTE wireless technologies. It uses multiple orthogonal subcarriers to enhance bandwidth efficiency. Each of these subcarriers carry multiple bits (n) which provides higher bit rate based on level of modulation such as QPSK (n=2), 16QAM (n=4), 64QAM (n=6), 256QAM (n=8) etc.

FDM versus OFDM

OFDM mitigates frequency selective fading in multipath channel environment. In channel fading conditions, OFDM causes ISI (Intersymbol Interference) and ICI (Intercarrier Interference) due to delay spread.

cyclic prefix

The last few samples of OFDM symbol are extracted and prefixed at the beginning of the transmission. This part is known as cyclic prefix and the time interval comprising of these repeated samples is known as "guard interval (Tg)". The OFDM symbol duration is designated as "Ts". Based on delay spread, various CP ratios are used in various systems such as 1/4, 1/8, 1/16 and 1/32. LTE uses normal length CP and extended length CP. Following equations mentions cyclic prefix addition process.

K = Length of FFT/IFFT , Kcp = Number of samples in cyclic prefix.
OFDM vector = [ X0, X1, X2, .... XK-cp ,....., XK-2, XK-1, XK ]
CP vector = [XK-cp ,....., XK-2, XK-1, XK]
OFDM with CP vector = [XK-cp ,....., XK-2, XK-1, XK, X0, X1, X2, .... XK-cp,.....,XK-2,XK-1,XK ]

Following block diagram depicts position of cyclic prefix addition and removal in the OFDM transmitter and receiver. As shown, it is inserted after IFFT in the OFDM transmitter and removed before FFT in the OFDM receiver.

cyclic prefix additiona and removal in OFDM transmitter and receiver

Example #1 :
For OFDM symbol with FFT size of 256 samples as used in WiMAX and Cyclic Prefix ratio of say 1/16, we can have following.
NFFT = 256
CP = 1/16 = 16 samples

Example #2 :
For OFDM symbol with FFT size of 64 samples as used in WLAN 802.11a standard and with CP of 1/4 we can have following.
NFFT = 64 samples
CP = 1/4 = 16 samples

No ISI due to guard interval

CP is choosen based on delay spread of the channel. CP is kept greater than the delay spread value to avoid ISI. This is shown in the figure above. Refer ISI vs ICI to understand how Cyclic prefix helps to avoid ISI in OFDM system.

Benefits or advantages of Cyclic Prefix (CP)

Following are the benefits or advantages of Cyclic Prefix (CP):
➨It offers robustness to OFDM signal with the help of retransmitted data.
➨Guard symbol helps in reducing effect of ISI.
➨Cyclic prefix is inserted in guard interval to suppress ACI (adjacent channel interference) and to retain orthogonality of OFDM subcarriers.
➨It helps in time synchronization of the packet using correlation technique at the receiver. Refer Time offset estimation and correction >> MATLAB code.
➨It is very easy to implement using any programming languages such as MATLAB, C etc.

Drawbacks or disadvantages of Cyclic Prefix (CP)

Following are the drawbacks or disadvantages of Cyclic Prefix (CP):
➨It reduces system capacity and consecutively reduces overall data rate of the system due to use of redundant data.
➨Cyclic prefix based OFDM packet need more power to transmit due to increase in overall bandwidth.
➨CP based OFDM packet takes more time for transmission. Hence it increases overall latency of useful payload transmission carried by OFDM subcarriers.



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