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This paper presents the design of a Low latency spectrum analyzer targeted for Systems on Chip applications to perform real time multiband control. The discrete Fourier transforms are computed with the Goertzel Algorithm which performs better than the traditional FFT in our application case. The application is mapped on a Network on Chip. The complete design includes the scheduling, the mapping and the fine tuning of the NoC, which was performed with our Matlab NoC Simulation environment. The Goertzel algorithm dataflow makes it possible to use a broadcast type routing algorithm to reduce the traffic in the NoC. The results present the details of the design and reveal the parameters that can be adjusted to fine tune the Performance/Consumption tradeoff of the application.