PSS Vs SSS In LTE

   Primary Synchronization Signal(P-SS) and Secondary Synchronization Signal(S-SS) sequences used in LTE system.It provides comparison between P-SS and S-SS as per LTE standard.

Primary Synchronization Signal (P-SS) Sequences

•  Three PSS sequences are used in LTE, corresponding to the three physical layer identities within each group of cells.
•  The PSS is constructed from a frequency-domain ZC sequence of length 63.
•  Transmitted on 6th symbol of slot 0 and slot10 of each radio frame on 72 subcarriers centered around DC.

Secondary Synchronization Signal (S-SS) Sequences

•  SSC1 and SSC2 are two codes are two different cyclic shifts of a single length-31 M sequence.
•  Each SSS sequence is constructed by interleaving, in the frequency-domain, two length-31 BPSK-modulated secondary synchronization codes
•  Two codes are alternated between the first and second SSS transmissions in each radio frame
•  This enables the UE to determine the 10 ms radio frame timing from a single observation of a SSS
•  Transmitted on 5th symbol of slot 0 and slot10 of each radio frame on 72 subcarriers centered around DC.

PSS carries physical layer identity (NID)(2)
SSS carries physical layer cell identity group (NID)(1)
Cell identity is computed using (NID)cell = 3*NID(1) + NID (2) ,
Where (NID)(1) = 0,1,.....,167 and (NID)(2) = 0,1,2

Signal	Full Form	Direction	Position	Modulation/ Coding Scheme	Function
P-SS	Primary Synchro- nization Signal	Downlink	6th symbol of slot 0 and slot 10(time exis) mapped on 72 subcarriers centered around DC(frequency axis)	Zadoff Chu sequence of length 63	UE first finds the primary synchronization signal (PSS) which is located in the last OFDM symbol of first time slot of the first and 5th sub-frames This enables UE to be synchronized on sub-frame level Primary Synchronization Signal helps for Slot Timing Detection and Physical Layer ID (0,1,2) detection
S-SS	Secondary Synchro- nization Signal	Downlink	5th symbol of slot 0 and slot 10(time exis) mapped on 72 subcarriers centered around DC(frequency axis)	BPSK modulated length-31 M sequence	From SSS, UE is able to obtain physical layer cell identity group number (0 to 167) It helps for Radio Frame Timing detection, find Physical Layer Cell ID, cyclic prefix length detection, FDD or TDD detection

P-SS Constellation Diagram

As shown in the figure P-SS constellation plots frequency domain view of zadoff chu sequences.

S-SS Constellation Diagram

As shown in the figure S-SS constellation plots BPSK M sequence signals.