RF5G NR Calculator: Sampling Time, Symbol Duration, and Slots
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This article introduces a 5G NR calculator designed to determine key physical layer parameters. By inputting the subcarrier spacing and cyclic prefix type, the calculator outputs the sampling time, symbol duration, CP duration, and the number of slots per frame/subframe. We’ll also explore the formulas and equations underpinning these calculations.
5G NR Calculator for Sampling Time, Symbol Duration, Slots per Frame
This tool helps in understanding the relationship between different numerologies in 5G New Radio.
5G NR CALCULATOR EXAMPLE:
- Inputs: SCS = 240 kHz, CP = 0 (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 and Equations
The table below illustrates the relationship between subcarrier spacing and the resulting physical layer parameters:
| 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
The following equations are used in this 5G NR system calculator to determine the physical layer parameters.
The following points and formulas are key to the 5G NR calculations within the calculator:
- A normal cyclic prefix consists of 14 OFDM symbols in a slot, while an extended cyclic prefix consists of 12 symbols.
- FFT Size (Nf) = 4096
- Symbol time = 1 / subcarrier spacing
