Approximate expressions for the spectrum of constant amplitude polynomial phase signals

作者：Lv Xiaolei^*; Xing Mengdao; Zhang Shouhong

来源：Chinese Journal of Electronics, 2007, 16(4): 688-690.

• integration algorithm
• polynomial-phase signals (PPS)
• constant-amplitude
• hermite polynomials

An integration algorithm is presented for approximate closed-form expressions for the spectrum of constant-amplitude Polynomial-phase signals (PPS) with a given degree. The algorithm introduces a slowly varying function as the amplitude of PPS. The slowly varying function is then approximated by Hermite polynomial expansion and the Fourier transform of PPS with the slowly varying amplitude, i.e., the expression of spectrum is thus expressed as a sum of constituent integrals with integrands containing a Hermite polynomial multiplied by polynomial phase factors. The expression for spectrum of the constant-amplitude PPS is just the first term of the constituent integrals which are approximately expressed by means of obtaining the inverse of a banded coefficients matrix in a system of linear equations. Simulation results are provided to indicate that the expressions derived by using the integration algorithm have high precision.

• 出版日期2007-10
• 单位西安电子科技大学