A new coded modulation technique for signal sets designed combining wavelet functions and M-quadrature amplitude modulation (MQAM) is presented. Trellis-coded modulation (TCM) is implemented using the ring of integers modulo-Q as the algebraic structure of the multilevel convolutional encoder. These schemes are suitable for adaptive time-frequency unequal error protection, multiple-access and multiplexing, as well as being effective replacements for existing schemes. Wavelet-based ring-TCM schemes and MQAM ring-TCM schemes are first presented, and then combined to constitute a concatenated ring-TCM scheme. The concatenated scheme shows a coding gain of around 8 dB over uncoded BPSK, and does not require iterative decoding