Question

Consider the scattered pilot based (fine) timing and frequency offset estimation schemes presented in the lecture notes on synchronization. Assume that the minimum pilot distance is 4 OFDM symbols in time and 3 subcarriers in frequency. Then calculate the unambiguous timing offset and frequency offset estimation ranges. Express the answers in terms of symbol duration, subcarrier spacing, and CP length.

Answer 1

The unambiguous timing offset is 4 times the symbol duration, while the frequency offset estimation range is 3 times the subcarrier spacing.

Step-by-step explanation:

The unambiguous timing offset and frequency offset estimation ranges can be calculated using the given minimum pilot distance in time and frequency. The unambiguous timing offset is the maximum delay in time that can be accurately estimated without ambiguity. In this case, the minimum pilot distance is 4 OFDM symbols, so the unambiguous timing offset is 4 times the symbol duration. The frequency offset estimation range is the maximum frequency offset that can be accurately estimated without ambiguity. In this case, the minimum pilot distance is 3 subcarriers, so the frequency offset estimation range is 3 times the subcarrier spacing.