THE DESIGN AND DEVELOPMENT OF THE R-1084 SINGLE-SIDEBAND RADIO RECEIVER
Abstract
A time invariant system is said to be physially realzable if its unit impulse response, ht), is zero for t 0. It is often assumed in treatments of physical realizability that the Fourier transform of h(t) is square integrable (L sub 2 (neg. infinity, pos. infinity)). Some use is then made of the regularity of the transform for real frequencies, to derive further properties of the transform. The condition that the system be stable leads to a different assumption, that the absolute value of h(t) be integrable (is L (negative infinity, positive infinity)); this implies only uniform continuity of the transform for real frequencies. Physically realizable, stable systems are discussed, and several necessary, and a few sufficient, conitions on the Fourier transform of h(t) are summarized. In particular, the behavior of the transform for complex frequencies, the Bode relations, and the Paley-Wiener criterion are reviewed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1962
- Accession Number
- AD0287785
Entities
People
- Paul D. Simpson
Organizations
- Rome Laboratory