5G NR Calculator | Sampling time, symbol duration, slots per frame

This page mentions 5G NR calculator. It takes subcarrier spacing and cyclic prefix type as inputs and provides sampling time, symbol duration, CP duration, slots per frame/subframe as outputs. The formula or equations used for physical layer parameters calculations in 5G NR calculator are also mentioned.

5G NR Calculator for Sampling time, symbol duration, slots per frame

Subcarrier Spacing (Enter: 15 / 30 / 60 / 120 / 240 / 480 KHz) :

CP Type (Enter: 0 for normal and 1 for extended) :

Sampling time, ns (Output#1):
Symbol duration, µs (Output#2):

CP duration, µs (Output#3):

Slots per subframe (Output#4):

Slots per frame (Output#5):

5G NR CALCULATOR EXAMPLE:
Inputs :
SCS = 240 , CP = 0 (i.e. Normal)
Outputs :
Sampling time = 1.017 ns
Symbol duration = 4.166 µs
CP duration = 0.29 µs
Slots per subframe = 16
Slots per frame = 160

5G NR calculator formula or equations

 Subcarrier spacing (KHz) 15 30 60 120 240 Symbol duration (µs) 66.7 33.3 16.7 8.33 4.17 CP duration (µS) 4.7 2.3 1.2 (Normal CP), 4.13 (Extended CP) 0.59 0.29 Max. nominal system BW (MHz) 50 100 100 (sub-6 GHz), 200 (mmwave) 400 400 FFT size (max.) 4096 4096 4096 4096 4096 Symbols per slot 14 14 14 (normal CP), 12 (extended CP) 14 14 Slots per subframe 1 2 4 8 16 Slots per frame 10 20 40 80 160

Table: Subcarrier spacing, Number of OFDM symbols and slots

Following equations or formula are used in this 5G NR system calculator. It calculates physical layer parameters.

Following points and formula are used for 5G NR calculations in the above mentioned 5G NR calculator.
➤Normal cyclic prefix consists of 14 OFDM symbols in a slot where as Extended cyclic prefix consists of 12 symbols.
➤FFT Size (Nf)= 4096
➤Symbol time = 1/subcarrier spacing