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In this study, the performance analysis of Fast Fourier Transform and Chirp Z transform based OFDM systems for cognitive radio networks with energy detector model for the spectrum sensing method is realized. Here, energy detection model for noncooperative spectrum sensing is investigated. On the other hand, the analysis is implemented by segmented Chirp z transform. In this study Chirp z transform based spectrum sensing is proposed for the increase of dispersed spectrum utilization and in this context firstly used in literature. Also with the system model, using inverse fast Fourier transform in transmitter and Chirp z transform in receiver rather than fast Fourier transform, the computational complexity and the processing time are reduced, and performance increase is observed for high signal to noise ratio values.