A demodulation system for receiving and demodulating multiple modulated signals, including a first modulated signal having a first bit rate and/or a first modulation format and a second modulated signal having a second bit rate and/or a second modulation format.The demodulator demodulating the first modulation format modulated signal provides a cross-correlated demodulated in-phase and quadrature-phase baseband signal and the demodulator demodulating the second modulation format modulated signal provides a second demodulated baseband signal. A selector selects either the first or the second or both bit rate and/or modulation format demodulated baseband signals. In an alternative embodiment two demodulators are implemented for the demodulation of multiple signals. In certain embodiments the demodulator demodulating the first bit rate modulated signal or the second bit rate modulated signal is comprised of bit rate switchable filters and/or mis-matched filters which are mismatched to that of the filters of the modulator of the first or the second bit rate modulated signal. In some of the applications the first or the second modulated signal is an Orthogonal Frequency Division Multiplexed (OFDM) modulated signal and/or a spread spectrum modulated signal and/or Phase Shift Keying (PSK) modulation, or a Quadrature Modulation (QM), or a Frequency Modulation (FM) modulated signal. In certain implementations and applications the demodulator is used for demodulation of Gaussian Minimum Shift Keying (GMSK) modulated signals and spread spectrum modulated signals.