Astrapi Corporation and the Naval Information Warfare Center Execute a Research Agreement

The Naval Information Warfare Center (NIWC)-Atlantic and Astrapi Corporation executed a Limited Purpose Cooperative Research and Development Agreement (LP-CRADA) to explore Astrapi’s Spiral Modulation Dallas, TX (March 25, 2020) – Astrapi Corporation is pleased to announce the execution of a Limited Purpose Cooperative Research and Development Agreement (LP-CRADA) with the Naval Information Warfare Center (NIWC) … Read more

Unlocking the Power of Future Communications

Astrapi® is the leader in a revolutionary method of communication – non-periodic, spiral-based signal modulation, which has the potential to be a transformative force in radio communications. Based on new mathematics that has been repeatedly validated, Astrapi has proved that spectral efficiency can be dramatically increased by transitioning from traditional periodic signal modulation (based on … Read more

ASTRAPI CORPORATION ANNOUNCES THAT THE USPTO HAS GRANTED ASTRAPI A PATENT FOR A NOVEL APPROACH TO TELECOMMUNICATIONS SIGNALING

FOR IMMEDIATE RELEASE Contact: Andy Roscoe Direct email: [email protected] Direct phone number: 202-345-3085 Washington, DC (June 25, 2013) – Astrapi Corporation, a company that has developed a game changing signal modulation technology that enables more efficient communications transmissions, announced today the United States Patent and Trade Office (USPTO) has granted Astrapi its first U.S. patent 13/902,502, … Read more

Euler’s Formula for Fractional Powers of i

Jerrold Prothero, [email protected] 15, 2007 Copyright c 2007 Jerrold Prothero. All rights reserved.May be distributed freely in unaltered form To Leonhard Euler, on the occasion of his 300th birthday. Having lived, they live forever,Who to purpose grand endeavor.And nor shall time, nor tongue of man,E’er taint or burnish that rare clan;For none may mark them … Read more

Astrapi Technology Summary 3Q 2019

Introduction Astrapi® is a pre-product company that will transform the core technology for the multi-trillion-dollar telecommunications industry. By introducing a fundamentally new form of signal modulation, called ‘Spiral Modulation’, Astrapi has opened the door to pushing spectral efficiency far beyond what was previously viewed as the theoretical limit. This can provide 2X or greater improvements … Read more

The Astrapi Technical Value Proposition

Dr. Jerrold Prothero [email protected] Washington, D.C. October 30, 2014 Version 1.0 Copyright © 2014 Astrapi Corporation Technical Report Table of Contents Abstract 1. Introduction 2. An Open Field for Innovation 3. Specific Applications of Spiral-Based Signal Modulation 4. The Spectral Efficiency Advantage of Spiral-Based Signal Modulation        4.1 What Shannon Proved (And Did Not … Read more

The Shannon Law for Non-Periodic Channels

Dr. Jerrold [email protected], D.C.May 2, 2012 Copyright © 2012 Astrapi Corporation Technical Report Table of Contents Abstract1. Introduction2. The Frequency of Definition3. Power and Signal Distance4. Non-Periodic Channel Capacity5. ConclusionAppendix A: Introduction to Cairns SpaceAppendix B: The Generalized Euler’s Formula Expressed as Series FunctionsAppendix C: The Equivalence of the Cairns Series and Exponential Functions AbstractShannon’s … Read more

Unlocking the Power of Future Communications

Astrapi® is the leader in a revolutionary method of communication – non-periodic, spiral-based signal modulation, which has the potential to be a transformative force in radio communications. Based on new mathematics that has been repeatedly validated, Astrapi has proved that spectral efficiency can be dramatically increased by transitioning from traditional periodic signal modulation (based on … Read more

Instantaneous Spectral Analysis (ISA)

Astrapi® has introduced a ground-breaking technique for constructing and analyzing signals using sinusoidals with continuously-varying amplitude. Instantaneous Spectral Analysis (ISA) is a sharp break from the existing practice of representing signals as sinusoidals which have constant amplitude over some period of time. With ISA, it is possible to construct signals using only sinusoidals in a … Read more

Technical Introduction to Spiral Modulation

Technical Report R-2017-1 Dr. Jerrold [email protected] Washington, D.C.Last Update: February 28, 2017 Version 1.0Copyright © 2017 Astrapi Corporation Technology described in this document is covered by issued and pending Astrapi patents. Table of Contents Acknowledgment & DisclaimerAbstract1. Introduction2. Mathematical Background3. Instantaneous Spectral Analysis    Overview    Technical Description    Detailed Operations         Determine … Read more