5G NR- Physical Layer Timing Unit

In 5G, New Radio the basic time unit is represented by Tc and as per 3GPP TS38.211 can be expression by following equation:


Where is subcarrier spacing and is FFT size. Considering above  equation timing can be calculated as follows:
Tc = 1 / (480 x 103  x 4096)

= 1 / 1966080000
= 1 x 10 -3 / 196608 = 5.0862 x 10-10
= 0.509 nano second

LTE basic time unit is represented by Ts and expressed by following equation

Ts =  1 / (15 x 103  x 2048)
= 1 / 30720000
=  1 x 10 -3 / 30720 = 3.2552 x 10-8
= 32.55 nano second

Ts and  Tc  Relation 
The specification provided a constant   to relate NR basic time unit and LTE basic time unit and represented by following equation.

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