Chirp Hartley, Chirp cosine and Chirp sine transforms

The definitions of analog Chirp Hartley transform, analog Chirp cosine transform, and analog Chirp sine transform were given firstly. The definitions of discrete Chirp Hartley transform, discrete Chirp cosine transform, and discrete Chirp sine transform were given secondly. These transforms were used to estimate the parameters of real polynomial signal. The parameter estimation ability of two-order discrete Chirp Hartley transform, two-order discrete Chirp cosine transform, and two-order discrete Chirp sine transform were researched in detail. The three-order discrete Chirp Hartley transform was discussed briefly. In order to eliminate the spurious signal in the processing results of two-order discrete Chirp cosine transform and two-order discrete Chirp sine transform, a method that can eliminate spurious signal effectively and depress the sidelobe with a little more computation burden was presented. The computer simulations of two-order discrete Chirp Hartley transform, two-order discrete Chirp cosine transform, and two-order discrete Chirp sine transform were performed. The computer simulation of three-order discrete Chirp Hartley transform was performed. The computer simulations prove the validity of the analysis.