ORTHOGONAL SIGNALLING PULSES WITH THE SAME AUTOCORRELATION,
Abstract
Two methods for synthesizing orthogonal code pulses with the same autocorrelation are presented. One method determines polynomials of differentiation that operate on a pulse to generate the code waveforms. It is shown that these polynomials determine the moments of the energy density spectrum of this pulse. Polynomials are presented for generating N code waveforms, and the moments of the associated energy density spectrum are determined, for any N. A method for constructing an energy density spectrum of a pulse with a specified sequence of moments is presented. A second approach for constructing orthogonal pulses is explored. This method makes use of trigonometric polynomials. The constraints on these polynomials are established, and an algorithm is presented for constructing any number of orthogonal waveforms. Examples are provided to demonstrate the use of both methods. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1965
- Accession Number
- AD0624217
Entities
People
- Denis W. Fermental
Organizations
- Northeastern University