5G NR- Physical Layer Timing Unit

In 5G, New Radio the basic time unit is represented by T_c 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:
T_c = 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 T_s and expressed by following equation

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

T_{s and}  T_{c  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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