Abstract
This paper describes a new method for obtaining a pseudo-Gaussian signal by simply low-pass filtering an antisymmetric m-sequence. Theoretical considerations show that the skewness of amplitude distribution of the obtained signal is always zero and the kurtosis can be calculated for each characteristic polynomial generating the m-sequence.
The theoretical kurtosis is calculated and shown in Table 1 for each of the characteristic polynomials having 3, 5 or 7 terms, in the range n=17 to 34, where n is the order of the m-sequence.
Table 1 shows that, in order to obtain a good pseudo-Gaussian signal, we should use those characteristic polynomials which consist of 5 or 7 terms, because the kurtosis for 3 term polynomial is much larger than 3, the value for a Gaussian signal.
Results of hybrid simulations show good agreements with the theoretical considerations. The skew, kurtosis and χ2 tests were performed on the signals obtained in the simulations and the tests show that the signals are considered to be Gaussian within the 0.01 significance level.
