What does the following expression indicates?

In my research work I came across the following representation:

Let B(m) be the transmitted symbols, B(m)∈{-1,1}, for m=1,2,...,1000.

My query is what does above statement indicates.

As per my understanding it is indicating that B(m) have values either -1 or 1 and in total the B will be a vector of dimension 1 X 1000.

Please comment if my understanding is correct and please let me know the mistake if my understanding is wrong.

Any help in this regard will be highly appreciated.

Answer 1

[Vinayak Agrawal]

Hi Charu,

Your understanding is correct. The given statement indicates that the transmitted symbols, denoted as B(m), take values of either -1 or 1. The range of m is from 1 to 1000, which implies that there are 1000 symbols in total.

Based on this information, you can infer that B(m) forms a vector of size 1x1000. Each element of the vector represents a transmitted symbol, and it can take the value of either -1 or 1.

To summarize, your understanding is accurate, and the vector B will have dimensions 1x1000, with each element representing a transmitted symbol that can be either -1 or 1.

Hope it helps Charu!

[charu shree]

@Vinayak Agrawal, Thanks a lot for your comment.

Is it necessary that vector B will have equal number of -1 and +1.

[Vinayak Agrawal]

Without further information or constraints specified, the distribution of -1 and +1 values in the vector B can vary. It is possible to have an equal number of -1 and +1 values, but it is also possible to have an unequal distribution.

If there are no additional constraints or information provided regarding the distribution of -1 and +1 values, you cannot assume that the vector B will have an equal number of -1 and +1 values.

Hope it helps charu!

[charu shree]

Once again thank u so much ....