Abstract
A new method is proposed for generating a pseudo-Gaussian signal by use of a weighted m-sequence signal. This method is based upon the central limit theorem and the uniform distribution property of the weighted m-sequence signal. M-tuples obtained from an n-th order m-sequence are weighted and summed up to obtain pseudo-Gaussian signals, where M≤n. Skewness and kurtosis of the signal thus obtained are calculated theoretically. It is shown that skewness and kurtosis of the signal approach those of the Gaussian signal when the number of additions increases, provided M is suitably chosen. Statistical tests (skewness, kurtosis and X2 test) show that the signals obtained in digital simulations are considered to be Gaussian under the 0.05 significance level. Based on this method, a simple pseudo-Gaussian signal generator is proposed which consists of a shift register, a summing amplifier, a low pass filter and a sample-hold circuit.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
