SEP performance of triangular QAM with MRC spatial diversity over fading channels

Abstract

This paper presents the mathematical model for symbol error probability of triangular quadrature amplitude modulation in a single-input multi-output environment. The symbol error probability performance is evaluated over fading channels namely Rayleigh, Nakagami-m, Nakagami-n, and Nakagami-q. The maximal-ratio combining technique is considered as spatial diversity algorithm and unified moment-generating-function-based approach is applied to derive the results. The multiple channels considered are independent but not necessarily identically distributed. The results presented are valid for slow and frequency non-selective fading channels only. The symbol error probability expressions obtained contain single integrals with finite limits and integrand composed of elementary functions which help us evaluate our analytical expressions numerically. We also compare these expressions with the error performances obtained through computer simulation, which show excellent agreement. In addition, an example has been simulated to validate our derived mathematical expressions.

Closed‐form solutions to SEP integrals over generalized fading distributions η−μ and κ−μ using approximate computing

“…A slightly related work in Sadhwani and Yadav suffers from many drawbacks and fails to provide a generic solution to SEP integrals over η − μ and κ − μ fading. Firstly, the solution to integral containing is valid only for k ≤ 2, since it considers the integrals containing and as special cases of integral; therefore, the SEP of neither DE‐QPSK nor TQAM (as derived in Qureshi et al) can be calculated, as it requires integral solutions upto k =4 and k =6, respectively. Secondly, the solution is specifically derived for the exponential‐based approximation to Gaussian Q function of Sadhwani et al…”

Better performance of OFDM using three special triangular constellations over AWGN and fading channels

“…11 In Foschini et al, 12 an asymptotic expression is derived for the error rate of signal constellation in the presence of (additive white Gaussian noise) AWGN noise. The rectangular QAM constellation has become the dominant modulation scheme in terms of power and bandwidth efficiency.…”

An efficient OFDM-based system with an insufficient cyclic prefix via a novel constellation algorithm

“…The constellation of Figure 1a, as proposed in [13], has 8 couple points with the same distance to the origin. It means that the points in each couple have the same error probability.…”

“…Some of the most important of these triangular constellations are demonstrated in Figure 1. Although the triangular constellation is almost a well-known mapping, as mentioned in [13][14][15], there are different configuration points with different specifications. This paper aims to achieve more efficiently multicarrier OFDM modulation performance, only by changing its constellation configuration.…”

“…In [13], a triangular constellation is proposed and the authors have presented the mathematical model for symbol error probability of triangular quadrature amplitude modulation in a single-input multioutput environment. The authors in [14] proposed a new code for different constellations.…”