Index coded PSK modulation

Abstract

Abstract-In this paper we consider noisy index coding problem over AWGN channel. We give an algorithm to map the index coded bits to appropriate sized PSK symbols such that for the given index code, in general, the receiver with large amount of side information will gain in probability of error performance compared to the ones with lesser amount, depending upon the index code used. We call this the PSK side information coding gain. Also, we show that receivers with large amount of side information obtain this coding gain in addition to the bandwidth gain whereas receivers with lesser amount of side information trade off this coding gain with bandwidth gain. Moreover, in general, the difference between the best and worst performance among the receivers is shown to be proportional to the length of the index code employed.

Layered Space-Time Index Coding

“…Combining (9), (14), and (15) To prove the second statement, we note that if the ideal Π s∈S q s is principal, then we can indeed find an element in the ideal such that the inequality in (14) holds with equality. Hence, if q 1 , .…”

“…The second category including [14]- [18] considers designing codes/constellations that possess some desired properties in the finite dimension regime. The main objective is to design codes such that the probability of error will decrease by an amount that is proportional to the amount of information contained in the side information.…”

“…In [14], Mahesh and Rajan consider the AWGN broadcast channel and assume that the transmitter knows all the index sets, i.e., the side information configuration is available at the transmitter. The scheme proposed in [14] consists of a linear index coding followed by an algorithm that Y.-C. Huang maps coded bits onto a phase shift keying (PSK) modulation. It is shown in [14] that this scheme indeed can provide a reduction in probability of error proportional to the amount of side information.…”

“…The scheme proposed in [14] consists of a linear index coding followed by an algorithm that Y.-C. Huang maps coded bits onto a phase shift keying (PSK) modulation. It is shown in [14] that this scheme indeed can provide a reduction in probability of error proportional to the amount of side information.…”

“…The main objective is to design codes such that the probability of error will decrease by an amount that is proportional to the amount of information contained in the side information. In [14], Mahesh and Rajan consider the AWGN broadcast channel and assume that the transmitter knows all the index sets, i.e., the side information configuration is available at the transmitter. The scheme proposed in [14] consists of a linear index coding followed by an algorithm that Y.-C. Huang is with the Department of Communication Engineering, National Taipei University, 237 Sanxia District, New Taipei City, Taiwan (email: ychuang@mail.ntpu.edu.tw).…”