A Multi-mode-multi-band direct conversion receiver with complex I and Q channel interference mitigation processing for cancellation of intermodulation products (IMPs) are described. In one embodiment, a method comprising over sampling of the entire receiver passband to acquire the IMP source signals that can generate IMPs within the signal of interest (SOI), generate a coherent complex I-Q channel estimates of the interference, generating estimates of 2nd and 3rd order IMP products, sampling of the transmitter feed thru signal and blocking signals and computing the cross modulation products estimate, using the cross modulation cancellation to cancel of the effects of the on chip transmitter feed thru to support building a single transceiver chip with full duplex operation, and creation of an estimate of the DC offset in the receiver in a closed loop fashion to cancel the DC offset in the I and Q channels independently and simultaneously, and adjusting the rate of update to match system parameters.