Telecommunications relies on transmitting and receiving signals containing specific modulation patterns in both the real and complex domains. Classifying modulation patterns is difficult because noise and poor signal to noise ratio (SNR) obfuscate the `input' signal. Although deep learning approaches have shown great promise over statistical methods in this problem space, deep learning frameworks have been developed to deal with exclusively real-valued data and are unable to compute convolutions for complex-valued data. In previous work, we have shown that CNNs using complex convolutions are able to classify modulation patterns by up to 35\% more accurately than comparable CNN architectures. In this paper, we demonstrate that enabling complex convolutions in CNNs are (1) up to 50\% better at recognizing modulation patterns in complex signals with high SNR when trained on low SNR data, and (2) up to 12\% better at recognizing modulation patterns in complex signals with low SNR when trained on high SNR data. Additionally, we compare the features learned in each experiment by visualizing the inputs that results in one-hot modulation pattern classification for each network.