Processor, transmit filter and modulator for processing, filtering a signal into time division multiplexed (TDM) Gaussian filtered signal and into Orthogonal Frequency Division Multiplexed (OFDM) signal and for modulating Gaussian filtered signal into Gaussian Minimum Shift Keying (GMSK) modulated signal and processed OFDM signal into OFDM modulated signal. Processor for processing a signal into processed cross-correlated in-phase and quadrature-phase filtered signal and into cross-correlated in-phase and quadrature-phase spread spectrum signal. GMSK modulated signal provided to a cellular network and OFDM modulated signal provided to a different wireless network. A first amplifier and transmitter for nonlinearly amplifying and a second amplifier for linearly amplifying modulated signal and for providing signals to a transmitter. Receiver and demodulator system for receiving and demodulating transmitted GMSK modulated and OFDM modulated signal. Receiver and demodulator having two or more than two antennas and incorporating diversity reception. Receiver and demodulator system for receiving and demodulating transmitted GMSK modulated signal has a receive filter and receive processor for filtering, processing and providing demodulated cross-correlated in-phase and quadrature-phase filtered signal, Receive filter is mismatched to transmit filter.