Cross-Correlated Time Division Multiple Access (TDMA), Spread Spectrum, Code Division Multiple Access (CDMA) and Orthogonal Frequency Division Multiplexed (OFDM) modulated OFDM receiver and demodulator systems. Receiver for receiving a Time Division Multiple Access (TDMA) modulated signal having a first modulation format and a second modulated signal having a second modulation format and demodulator, filter and processor for demodulating, filtering and processing the received TDMA modulated signal and for filtered, processed cross-correlated in-phase and quadrature-phase baseband signals and demodulating the second modulated signal providing a demodulated baseband signal. A demodulator system containing two demodulators for demodulating the received signal. Receiver for receiving a Time Division Multiple Access (TDMA) and a Orthogonal Frequency Division Multiplexed (OFDM) modulated signal. A demodulator, filter and processor for demodulating, filtering and processing the received TDMA modulated signal and for providing demodulated filtered, processed TDMA cross-correlated in-phase and quadrature-phase baseband signals and demodulating the spread spectrum modulated signal and providing a demodulated filtered spread spectrum signal.