Spectrum Sensing Based on Goertzel Algorithm

The spectrum scarcity, which is a serious problem in wireless communication, shows the extreme importance of spectrum sensing technologies. For the traditional spectrum sensing algorithms, they are very difficult to have a good tradeoff between accuracy and simplicity. This paper is based on the application of Goertzel algorithm to the cyclostationary feature detector, which makes fast-searching and precise-searching of spectrum come true. The result of simulation indicates that it is feasible to get nearly zero Percentage Missed Detect (PMD) when the Signal to Noise Ratio (SNR) is 3. The Goertzel algorithm is capable of computing the spectrum of some appointed frequency, while the Fourier Transform is only allowed to get the spectrum of the whole frequency band. So while detecting whether there exist a primary user in several frequencies rather than the whole band, the proposed algorithm is superior in simplicity of calculation.