The article discusses the synthesis of radiation patterns using circular arrays of directive elements. This type of array is suitable for phased array applications and for multiple beam systems, and it could also be an excellent candidate to face up base-station demands for future wireless communication services. A Fourier series synthesis method is utilized to synthesize different radiation patterns using circular arrays of N elements with a cardioid pattern (ideal elements) and of N dipoles uniformly arranged in front of an infinite metallic cylinder.