## What is cyclic prefix (CP)

In the OFDM symbol transmission,ISI occurs at the receiver due to delay spread of the channel.
ISI stands for Inter Symbol Interference. In order to avoid ISI, guard interval is inserted between two OFDM
symbols. This guard internal is referred as **cyclic prefix (CP)**. This is kept greater than delay spread of the
channel to avoid ISI.

Following are basics of cyclic prefix(CP):

• Zeros used in the guard time can alleviate interference between OFDM symbols.

• Orthogonality of carriers is lost when multipath channels are involved, which can be restored
by cyclic prefix.

• It converts a linear convolution channel into a circular convolution channel.This restores the orthogonality at the receiver.

• The disadvantage is wastage of energy in the cyclic prefix samples.

Figure depicts S1 and S2 as OFDM symbols.Tg is the guard time interval and Ts is the data symbol period.

OFDM symbol time = Tg+Ts

There are four options to append samples in the guard time. In other words there are 4 options of cyclic prefix(CP) viz. 1/4,1/8,1/16 and 1/32 of symbol time(no.of fft samples). If we take FFT as 1024 samples and CP is 1/8 then guard samples will be 128.

### What is?

what is RF? what is wireless ? what is zigbee? what is Bluetooth? what is lightwave RF? what is z-wave? what is microcontroller? what is GSM? what is GPRS? what is infrared?