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Generic BCS Signals
| Fundamentals | |
|---|---|
| Title | Generic BCS Signals |
| Author(s) | J.A Ávila Rodríguez, University FAF Munich, Germany. |
| Level | Advanced |
| Year of Publication | 2011 |
Two particular cases of the BCS modulation are the BPSK and BOC modulations. Nonetheless, we show in the next lines how the Power Spectral Density (PSD) of a generic BCS could be derived.
Let us assume a BCS signal with vector s = [+1, +1, -1]. We have thus [math]\displaystyle{ s_1 = +1 , s_2 = +1 , s_3 = -1 }[/math]. The modulating term of the PSD can be easily calculated as:
which can be further simplified to:
while
Thus the spectrum of this BCS sequence would adopt the following form:
In general, in order to understand how the spectrum will look like for a given sequence, we have to be able to understand how every term of the sum above contributes to the total PSD.