Several compact multiband antennas used for wireless communications will be presented in this lecture. Most of antennas are based on the slot and coplanar structures. The first antenna is a compact broadband printed slot antenna integrating with filters for band notching. The filters including I-shaped and inverse L-shaped narrow slits and L-shaped conductor strip are integrated in the proposed antenna structure. The EMI mitigation at the frequency ranges of 2.7 to 3.2 GHz, 4.1 to 4.7 GHz, and over 6.1 GHz is obtained. The antenna can operates at frequency ranges of 2.26 to 2.68 GHz, 3.28 to 4.09 GHz, and 4.75 to 6.04 GHz. The nearly omni-directional and likely bi-directional radiation patterns are obtained in xz and yz planes, respectively. The average gains of all bands are given to be 1.67 dB, 2.75 dB, and 5.5 dB, respectively. The second one is a compact quad-band antenna using step-impedance slot with spiral stub technique. The interdigital capacitive coplanar waveguide feed is also employed, resulting in size reduction because of its slow-wave effect. Moreover, with this technique, the second harmonic frequency can be controlled as desired, while the third and fourth harmonics are caused by the step-impedance slot and spiral stub. The antenna has a compact size and can response for the frequency of 1.8 GHz, 2.45 GHz, 3.7 GHz and 5.2 GHz. The antenna has omni-directional patterns at all frequencies and the gains are 2.01 dB, 2.12 dB, 2.03 dB and 2.06 dB, respectively. Also, some other compact multiband antennas will be presented. All of these antennas are suitable to apply for various wireless applications including LTE, WIFI and WiMAX.