Signal processing with fractals: a wavelet-based approach
Signal processing with fractals: a wavelet-based approach
Digital signal processing (3rd ed.): principles, algorithms, and applications
Digital signal processing (3rd ed.): principles, algorithms, and applications
1/fα signal synthesis with precision control
Signal Processing - Fractional calculus applications in signals and systems
Discrete-time models for statistically self-similar signals
IEEE Transactions on Signal Processing
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This paper presents a simple, efficient and fast procedure for generation of 1/fβnoise sequences. The proposed procedure is based on the impulse invariance method applied to the impulse response of the ideal fractional order integrator whose order 茂戮驴= β/2is between 0 and 1. First, an optimal value for the initial value of the impulse response is obtained by minimizing a least squares error criterion and then any of the well-established signal modeling techniques can be employed for the parameterization of the discrete impulse response by pole-zero models. For a given model order, the approximation accuracy depends on the signal modeling technique used. An illustrative example is presented to demonstrate the effectiveness of the method.