Filtering and modulating a first bit rate signal into a Gaussian filtered Gaussian Minimum Shift Keyed (GMSK) modulated signal and a second bit rate signal into a Quadrature Amplitude Modulated (QAM) signal. A method for nonlinearly and linearly amplifying GMSK and QAM signals. A diversity receiver and demodulator method for receiving and demodulating transmitted modulated signals. Processing, transmit baseband filtering and modulating signals for providing cross-correlated in-phase and quadrature-phase Gaussian filtered Gaussian Minimum Shift Keying (GMSK) and other cross-correlated modulated signals and spread spectrum Quadrature Phase Shift Keying (QPSK) modulated signals. Transmit processing and filtering for providing time division multiplexed (TDM) Gaussian filtered baseband signal and Orthogonal Frequency Division Multiplexed (OFDM) in-phase and quadrature-phase baseband modulated signal to a cellular network and to separate wireless network. Diversity receiver and demodulator method with multiple antennas for providing demodulated cross-correlated in-phase and quadrature-phase filtered signals.