symbol rate

how to calculate symbol rate in MATLAB, if we are given a binary data of 1Kbits/second.

Answer 1

[Walter Roberson]

If the number of bits per symbol is constant, then I already showed you the formula. You deleted my answer, however -- why did you do that?

1000 bits per second, divided by (N bits per symbol) gives how many symbols per second?

If different symbols have different numbers of bits, then you can only speak about the average number of symbols per second. You would either have to have a measured average, or you would have to have a known probability distribution for each symbol. Multiply the number of bits for any one symbol by its probability, sum over all the symbols to get the statistical average bits per symbol, and then proceed as per the above outline.

[pinna Afff]

i have four symbols, and per symbol there are two bits,

so this means that 1000/2 will be the symbol duration?

right?

[Walter Roberson]

No, 1000/2 would be the symbol rate. You have not provided enough information to calculate the symbol duration (a bit _rate_ of 1000 per second allows you to calculate the _maximum_ bit duration, but does not give enough information to calculate the actual bit duration.)

[pinna Afff]

fter mapping how will i calculate the symbol duration, im only given that the binary rate is of 1000bits per second

[Walter Roberson]

The question cannot be answered knowing only the bit rate.

Suppose you were to throw one ball every minute. Does that tell us that the ball will be in the air for a full minute? No: it just tells us that you are only throwing one ball every minute. The duration required to receive (say) 3 balls would not be 3 minutes: it would be 2 minutes plus the time-in-flight for one ball... which is something that could vary from nanoseconds up to years (e.g., in space.)

Answer 2

[Honglei Chen]

You need to know how many bits form one symbol.

[Walter Roberson]

Only if the number of bits per symbol is fixed.