A receiver for use in a wireless communication system to receive signals transmitted over a wireless channel. The receiver includes a plurality of radio-frequency (RF) chains coupled a plurality of antennas. Each RF chain has at least one-bit analog-to-digital converter (ADC) to convert each measurement of an analog signal received by the antenna into at least one bit of information representing a result of a comparison of the measurement with a randomly selected threshold to produce a sequence of bits and a corresponding sequence of thresholds. Each bit in the sequence of bits represents a relative value of the measurement of the analog signal with respect to a threshold from the corresponding sequence of thresholds. A processor coupled to the plurality of RF chains estimates parameters of the wireless channel using the sequences of bits and the corresponding sequences of thresholds received from the plurality of RF chains.