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Rydberg atoms can serve as an atomic radio frequency receiver for digital and analog information transmission. In this paper, a ladder-type electromagnetically induced transparency system is prepared in a room temperature cesium atomic vapor cell. Microwave electric fields in the Ku band at a frequency of 12.52 GHz and the Ka band at a frequency of 39.80 GHz are used as two-channel communication carriers to demonstrate concurrent information transmission. Analog and digital communications are demonstrated by performing audio and pseudo-random binary sequence signal transmission, respectively. The dynamic range of the proposed system is ∼50 dB, and the communication bandwidth is more than 10 MHz. The obtained results demonstrate the fundamental principles of two- or multi-band communication systems based on different Rydberg final states.