DESIGN OF INPUT WAVEFORMS TO YIELD TIME-LIMITED ORTHOGONAL OUTPUTS,
Abstract
Given a time-invariant, linear system, with impulse response h(t), system function H(s), is there a set of input signals which results in a set of output signals that are orthogonal on a given interval of time. A solution to the pro blem is discussed. Restraints are imposed on in put and output sets to evolve problems of prac tical engineering interest. A feasibility study is made of the solution proposed. For this pur pose a rational system function H(s) N(s)/D(s) is assumed. Restraints imposed on both input and output sets are that the functions be real-val ued, of finite energy and time-limited. It is shown that the proposed solution involves finding a set of real-valued, finite-energy pk(t) which are 'sufficiently differentiable' for the ra tional system function and which have the prop erty that the set N( ) pk(t) is orthogonal, N( ) being the polynomial of differentiation equivalent to the polynomial N(s). Techniques for determining members of a set pk(t) are described. It is demonstrated that many such sets can be found for a given rational H(s). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1963
- Accession Number
- AD0411224
Entities
People
- F. B. Reis
- Jane B. Campbell
Organizations
- Northeastern University