Astrapi Corporation awarded a United States Air Force (USAF) Agility Prime Phase I STTR

Astrapi Selected with Teaming Partner Morgan State University for “Advanced RF using Spiral Modulation” project. Dallas, TX (January 8, 2020) –The United States Air Force has awarded Astrapi Corporation a Phase I STTR contract for “Advanced RF using Spiral Modulation” through the new AFWERX Agility Prime program. RF communication links have multiple impacts on air … Read more

Astrapi Corporation and Space Strategies Consulting Limited Execute a Strategic Alliance

Space Strategies Consulting Limited and Astrapi Corporation are pleased to announce the successful execution of a Strategic Alliance to advance Spiral Modulation Dallas, TX (December 14, 2020) – Astrapi Corporation is pleased to announce the successful execution of a Strategic Alliance with Space Strategies Consulting, LLC (SSCL), located in Kanata, Ontario, Canada. This Alliance extends … Read more

Astrapi Corporation is selected to participate in the United States Air Force (USAF) Department of Defense Commercial Space Partnerships Showcase supported by AFWERX

Astrapi selected to present Advanced RF Crosslink Capability in the SATCOM Transport Layerthrough Spiral Modulation DALLAS, TX. September 08, 2020 — The USAF has accepted Astrapi Corporation to participate in the upcoming DoD Commercial Space Partnerships Showcase the week of September 28, 2020. Over eighty USAF subject matter experts and evaluators vetted over eight hundred … Read more

Catalyst Accelerator Announces Astrapi Joins Cyber for Space Applications Cohort

COLORADO SPRINGS, Colo – August 25, 2020 – Catalyst Accelerator announces that Astrapi Corporation has joined seven other firms in the Cyber for Space Applications Cohort. The Catalyst Accelerator, powered by the Air Force Research Lab Space Vehicles Directorate (AFRL/RV), was developed to promote technology advancement for the warfighter and guide technology transfer for the … Read more

Astrapi Corporation Continues to Grow its Pioneering Patent Portfolio Driving Spectrally-Efficient Communication

Dallas, TX June 29, 2020 – Astrapi Corporation is pleased to announce that the United States Patent and Trade Office (USPTO) has issued Astrapi U.S. Patent Application No: 16/116,368, “Spiral Polynomial Division Multiplexing”. This patent has profound implications for addressing exponentially-growing data transfer demands. Spectrum demand has been further amplified by COVID-19 as people are forced to shelter-in-place and demand for … Read more

Astrapi Corporation Receives a National Science Foundation (NSF)Technology Enhancement for Commercial Partnerships (TECP) Award

NSF Grants Astrapi a TECP Supplemental Award to accelerate product roadmaps and commercialization of Spiral Modulation The National Science Foundation (NSF) awarded Astrapi Corporation a Technology Enhancement for Commercial Partnerships (TECP) supplemental contract to the existing Phase II Small Business Innovation Research (SBIR) grant. This award will enable Astrapi to accelerate the transition of Spiral … Read more

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


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