Several experiments are currently carried out to measure the magnitude of the B mode polarization of the Cosmic Microwave Background (CMB). It is a strong indicator of the presence of gravitational waves from the early universe inflationary epoch. As the average variations of the B mode components of the CMB are expected to be of the order of a few tens of nK or below, the detection of these polarized signals requires an ultra sensitive system. This article is focused on instruments that take advantage of an interferometer stage, followed by a bolometer stage sensitive to frequencies around the 150 GHz band of the EM spectrum, which corresponds to the measured CMB temperature of 2.7 K. The bolometers in the focal plane of these experiments are usually coupled to an array of direct current Superconducting Quatum Interference Devices (SQUIDs), that allow the highly sensitive detection requirements for observing the B modes. We propose a detection system for these kinds of instruments based on a Software Defined Radio (SDR) that uses Frequency Division Multiplexing (FDM), a Goertzel channelizer and a radio frequency SQUID micro multiplexer (uMUX) working at the cryogenic temperatures of 320 mK. These interfaces are used to read an array of 1024 Magnetic Microbolometers (MMBs) as detectors that are photon limited for CMB detection in the band of interest. As part of the requirements for these measurements, we introduce a design of the detection and read out chain, show its expected performance and potential implementation. The proposed system can read the desired number of detectors from an array in a modular way, which allows future expansions, and its frequency division multiplexing (FDM) system improves the cooling capacity of the cryostat by minimizing the amount of active cryogenic electronics.