You are given a bandwidth constraint in the form Fmin=250 MHz, Fmax=500 MHz. To meet the bandwidth constraint, the signal is upsampled by a factor K=4 and interpolated at Fs=1 GHz before going to the analog domain.
Question: Determine the Baud rate (in symbols/s) and throughput (in bits/s), assuming the alphabet A has 32 symbols and all symbols are equiprobable.
Type the values of Baud rate (in symbols/s) and throughput (in bits/s)
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To determine the Baud rate (in symbols/s), we need to understand the relationship between the symbol rate and the signal bandwidth. In this case, the signal is upsampled by a factor of K=4, so the symbol rate must be Fs/K.
The given Fs is 1 GHz, and K is 4, so the Baud rate is (1 GHz)/(4) = 250 MHz = 250,000,000 symbols/s.
To calculate the throughput (in bits/s), we need to consider the number of bits per symbol and the symbol rate. Since the alphabet A has 32 symbols and all symbols are equiprobable, the number of bits per symbol is log2(32) = 5 bits/symbol.
Therefore, the throughput is (Baud rate) * (number of bits per symbol) = 250,000,000 symbols/s * 5 bits/symbol = 1,250,000,000 bits/s = 1.25 Gbps.
So, the values of the Baud rate and throughput are:
Baud rate: 250,000,000 symbols/s
Throughput: 1,250,000,000 bits/s (1.25 Gbps).