Noise probability density function in fixed-point systems based on smooth operators

To satisfy cost constraints, application implementation in embedded systems requires fixed point arithmetic. Thus, the application defined in floating point arithmetic must be converted into a fixed-point specification. This conversion requires accuracy evaluation to ensure algorithm integrity. Indeed, fixed-point arithmetic generates quantization noises due to the elimination of some bits during a cast operation. These noises propagate through the system and degrade computing accuracy. In this paper, a method based on Generalized Gaussian PDF is presented to model and generate the output noise of the system. The accuracy of the proposed model is evaluated through different experiments.