## NPTEL 5G Wireless Standard Design Week 1 Assignment Answers 2024

1. The minimum SNR (in dB) required to achieve the capacity of 10 bps/Hz is approximately

- 22 dB
- 28 dB
- 30 dB
- 35 dB

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2. The number of slots/subframe if the system uses a sub-carrier spacing of 60kHz

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3. The system which is using incremental redundancy retransmission mode with an effective code rate of 3/4 did an initial transmission. But the receiver failed to successfully decode the data in first attempt and asked for 2 more retransmissions. Calulate the code rate at which the receiver was able to successfully decode the data

- 1/4
- 3/4
- 3/8
- 3/16

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4. The 5G system has been designed with the following specifications:

(i) Bandwidth = 50 MHz, with usable bandwidth begin 49.5 MHz

(ii) Subcarrier Spacing, ∆f = 15kHz

(iii) Uses N = 4096 point FFT

Calculate ceil(Sampling Rate/10^{6})

Answer :-

5. The 5G system has been designed with the following specifications:

(i) Bandwidth = 50 MHz, with usable bandwidth begin 49.5 MHz

(ii) Subcarrier Spacing, ∆f = 15kHz

(iii) Uses N = 4096 point FFT

Calculate Slot Duration(in ms) ×Subframe Duration (in ms)

Answer :-

6. The 5G system has been designed with the following specifications:

(i) Bandwidth = 50 MHz, with usable bandwidth begin 49.5 MHz

(ii) Subcarrier Spacing, ∆f = 15kHz

(iii) Uses N = 4096 point FFT

Calculate the CP length of the first symbol if rest of the symbols in slot have a CP length of 288 samples.

Answer :-

7. The system uses a Modulation Scheme with the following specifications:

Modulation Order = 2

Target Code Rate (1024 x R) = 894

Calculate it’s spectral efficiency

- 0.8730
- 1.7461
- 1.8951
- 1.9541

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