Then, let c=(c 0,c 1,…,c n−1) and x=(x 0,x 1,…,x n−1)=1−2 c∈{−1,+1} n be the transmitted codeword and its baseband BPSK-modulated version (that is, before being modulated with the carrier frequency), respectively.
"Our version is modernized".
The theatrical version is my final version".
That version was rejected.
Neither version was built.
The parallel signals, which in general are streams of data symbols belonging to a complex constellation, e.g., M-ary QAM, are interpolated by a factor N, filtered by the sub-channel pulses g k n = g n e j 2 π M kn, k = {0, …, M − 1} (which are the modulated version of the prototype pulse g(n)), summed and transmitted over the channel.
Note that it is desirable that the similarity between an original music piece and its modulated version becomes high since they have similar melodies, base lines, or harmonics.
Then, we let d ¯ ∈ A J ¯ be the data row vector at the output of the constellation mapper, representing the digitally modulated version of b.
This block accepts a bit sequence as input and yields its digitally modulated version as output.
We define as the modulated symbol alphabet of order M. Now, let b ∈ [0, 1] K be the K-sized row input bit vector fed to the block, such that K ¯ = K log 2 M ∈ N. Consequently, we define d ¯ ∈ A K ¯ as the data row vector at the output of the constellation mapper, representing the digitally modulated version of b.
