Bit Error Rate Performance of a MIMO-CDMA System Employing Parity-Bit-Selected Spreading in Frequency Nonselective Rayleigh Fading

Table 2

The received vectors for the parity-bit-selected spreading technique for 𝑁_𝑡=4 and 𝑁_𝑟=1.

Messages	Received vector
𝐦^(𝑛)	𝐮^(𝑛)
0 : 0000	[−𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21+𝛼^(𝑛)31+𝛼^(𝑛)41),0,0,0,0,0,0,0]
15 : 1111	[𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21+𝛼^(𝑛)31+𝛼^(𝑛)41),0,0,0,0,0,0,0]
1 : 0001	[0,−𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21+𝛼^(𝑛)31−𝛼^(𝑛)41),0,0,0,0,0,0]
14 : 1110	[0,𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21+𝛼^(𝑛)31−𝛼^(𝑛)41),0,0,0,0,0,0]
2 : 0010	[0,0,−𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21−𝛼^(𝑛)31+𝛼^(𝑛)41),0,0,0,0,0]
13 : 1101	[0,0,𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21−𝛼^(𝑛)31+𝛼^(𝑛)41),0,0,0,0,0]
3 : 0011	[0,0,0,−𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21−𝛼^(𝑛)31−𝛼^(𝑛)41),0,0,0,0]
12 : 1100	[0,0,0,𝐸𝑏(𝛼^(𝑛)11+𝛼^(𝑛)21−𝛼^(𝑛)31−𝛼^(𝑛)41),0,0,0,0]
4 : 0100	[0,0,0,0,−𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21+𝛼^(𝑛)31+𝛼^(𝑛)41),0,0,0]
11 : 1011	[0,0,0,0,𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21+𝛼^(𝑛)31+𝛼^(𝑛)41),0,0,0]
5 : 0101	[0,0,0,0,0,−𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21+𝛼^(𝑛)31−𝛼^(𝑛)41),0,0]
10 : 1010	[0,0,0,0,0,𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21+𝛼^(𝑛)31−𝛼^(𝑛)41),0,0]
6 : 0110	[0,0,0,0,0,0,−𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21−𝛼^(𝑛)31+𝛼^(𝑛)41),0]
9 : 1001	[0,0,0,0,0,0,𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21−𝛼^(𝑛)31+𝛼^(𝑛)41),0]
7 : 0111	[0,0,0,0,0,0,0,−𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21−𝛼^(𝑛)31−𝛼^(𝑛)41)]
8 : 1000	[0,0,0,0,0,0,0,𝐸𝑏(𝛼^(𝑛)11−𝛼^(𝑛)21−𝛼^(𝑛)31−𝛼^(𝑛)41)]