This site has many sole-source technical articles written on a wide range of topics from phase-locked loops and frequency synthesizers to methods of computing square-roots and elliptic integrals. A sampling of these papers follows:
Substantiation of the Water-Filling Concept Using Lagrange Multipliers
Dreaded Interview Questions- Part I
Multimode RF Transceiver Advances WEDGE Radio System
For Sale Items:
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Chapter 5 excerpt from Advanced Phase-Lock Applications- Synthesis titled “Direct Digital Frequency Synthesis” by J.A. Crawford, approx. 75 pages, 140 equations, 87 figures. A few page excerpts here. Price: $20 (US), in PDF format. |
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“Computations of Data Windows Recursively,” J.A. Crawford Discusses simple numerical means suitable for DSP implementation for computing Gaussian and Blackman data windows. Method can be easily extended to many other window types. Price: $2 (US), in PDF format. |
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“Phase Noise Effects on Square QAM Signal Constellations,” J.A. Crawford Mathematical means for computing symbol error rate of QAM signal constellations with phase noise present. Price: $2 (US), in PDF format. |
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“Pendulums and Elliptic Integrals,” J.A. Crawford. Derivation of the formula involved with pendulum motion with specific attention to the calculation of elliptic integrals and accurate time domain simulation using numerical methods.
Price: $2 (US), in PDF format. |
Tutorial on PLLs, Part I & II, J.A. Crawford A broad mathematical perspective on PLLs for frequency synthesis, carrier tracking, bit symbol timing recovery, and estimation theory. Mathcad scripts included (in PDF form). Price: $20 (US), in PDF format. |
Tutorial on Digital Phase-Locked Loops, Michael Perrott
If you would like to have completely free access to the many other papers on this site, there are a few simple steps that you need to follow:
- Provide your name and email address using the entry tool in the right-hand column
- You will receive an email from Aweber asking you to confirm that you are making the request and thereby validating your email address for us.
- Click on the hyperlink within the email to confirm.
- You will be redirected to a new webpage that has the site’s password. Make a note of that and provide it when you are challenged to provide a password for the site.
Once you have made a temporary note of the password, exit the password page and continue your browsing. It’s that simple!
If you do not see an email from us fairly quickly, make sure that the confirmation email did not get channeled to your spam bucket or equivalent.
Your email address will never be sold or provided to anyone else. Signing up is entirely free. Aside from a measure of site effectiveness, it will make it possible to alert you to new papers that get posted, and similar. At best, there may be a short email once every few weeks. We are always adding more articles to the site.
Just a few of the many additional titles that you will obtain access to include:
“Digital Re-Design of Analog Phase-Locked Loops,” J.A. Crawford.
“The Bartlett Bisection Theorem for Analog Filter Design,” J.A. Crawford.
“Translation Loop: Passing GMSK Modulation,” J.A. Crawford.
“Satellite Doppler with Type-3 PLL Tracking,” J.A. Crawford.
“Approximation for Root( I2 + Q2),” J.A. Crawford.
“Computation of Square Roots,” J.A. Crawford .
“Optimum Eigenfilter Design Methodology,” J.A. Crawford.
“Random Variable Sums and the Central Limit Theorem,” J.A. Crawford, Feb. 2005.
“Current Flow in a Conductive Sheet,” J.A. Crawford, May. 2008.
Thank you for your interest in the site!

