The modified generalized quadrature spatial modulation (mGQSM) scheme is introduced to improve the transmission rate of the spatial modulation (SM) and quadrature SM (QSM). In mGQSM, the information symbols are separated as real and imaginary coefficients, which are modulated on in-phase and quadrature dimensions, respectively. In addition, this scheme presented a novel codebook design to enhance the rate of 1 bit per channel use over generalized QSM (GQSM). In this paper, we present mGQSM and reduced codebook mGQSM (RC-mGQSM) system performances over Nakagami-m, Rayleigh, and Rician fading channels. However, the Rayleigh fading is a special case of Nakagami-m fading when m = 1. For the computer simulations, we use several values for the Nakagami parameter, m, and Rician factor, K. We present the mGQSM and RC-mGQSM system performances and compare them to the GQSM, QSM, and SM system performances, using the maximum-likelihood (ML) detection. For the RC-mGQSM scheme, we present a low-complexity detection method. We also present the performances of mGQSM and SM systems in the presence of imperfect channel conditions.