  In this paper, the sum of L independent but not necessarily identically
distributed (i.n.i.d.) extended $\eta$-$\mu$ variates is considered. In
particular, novel expressions for the probability density function and
cumulative distribution function are derived in closed-forms. The derived
expressions are represented in two different forms, i.e., in terms of confluent
multivariate hypergeometric function and general Fox's H-function.
Subsequently, closed-form expressions for the outage probability and average
symbol error rate are derived. Our analytical results are validated by some
numerical and Monte-Carlo simulation results.
