Rainbow + ODEcalc + CurvFit Software 4 Engineers & Scientists
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Fortran Calculus - Ordinary Differential Equations
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Problem-Solving Application Example #3

Match-n-Freq (tm): Finds optimal transfer function

Input Signal/Pulse Matched Filter transfer function Output/desired Signal/Pulse
    Match-n-Freq (tm) for Windows 95/98: Pulse shaping filter program that finds the pole-zero locations of a transfer function H(s) for a matched filter. H(s) equals a -desired- signal (Yout) divided by a given input signal (Yin). Both Yout and Yin are functions of frequency (not time).
    Group delay may also be calculated to compliment a given data set, thus, providing a flat group delay.
    Minimizing Intersymbol Interference in a read/write channel for disc drives by shaping and slimming an isolated readback pulse was the main objective for writing this matched filter program. For more info, see Kost, R. and P. Brubaker; 'Arbitrary equalization with simple LC structures';IEEE Transactions on Magnetics, Nov. 1981, pp 3346-3348.
    The original matched filter problem was 'solved' in hours! Years of testing hardware designs and modifying design requirements/goals finally produced present program logic. All those minus signs in the transfer function gave me many white hairs! User input and objectives are from or in the frequency domain. Someday a time domain version of this matched filter program will be developed with a better objective function.
    Match-n-Freq was made possible due to the Fortran Calculus compiler. The source code is relatively short (7 pages + 11 input/output pages) showing the Fortran Calculus programming simplicity. Sometimes Match-n-Freq has three nested solvers in execution at once. For more see Calculus-level Compiler info.
(Click Any Image To Enlarge)
Pole/Zero Constellation
Transfer Function H(s); Zeros on Y-axis
Mainlobe Transfer Function
Output Signal: H(s) with Zeros on Y-axis
Sidelobes
Output Signal Sideband Only: H(s) with Zeros on Y-axis
    Note: Match-n-Freq program works only on WIN 95 & 98 OS platforms.

    Description Price
1.   Transfer Function Software 4 Matched Filter Designing $433.00
2.   Match-n-Freq + Rainbow Software 4 Filter Designing $433.00
3.   Match-n-Freq + Rainbow + CurvFit Software 4 Filter Designing $433.00
4.   Fortran Calculus - Algebra Problems $300,000.00
All prices in US Dollars

Problem-Solving Application Examples include:

CurvFit: a curve fitting program with Lorentzian, Sine, Exponential and Power series are available models to match your data.

ODEcalc: an Ordinary Differential Equation Calculator! Solves BVP & IVP.

Match-n-Freq: a Matched Filter program used to filter signals and slim pulses.

Robot4: Robotic Arm Movement; determines how to get from a point to another point.

Industry Problem-Solving Descriptions include:

AC Motor Design: a simulation program for A.C. motor design that was reapplied as a constrained optimization problem with 12 unknown parameters and 7 constraints.

Body Plasma Chemistry: determine the concentration of a Therapeutic treatment drug that is in the body over a period of time.

Efficient Solar Cells: Modeling a Nanostructured Solar Cell. Problem: How to develop solar cells with a new (higher) efficiency; grätzel cells.

Pulse Slimming to minimize InterSymbol Interference: via Arbitrary Equalization with Simple LC Structures to reduce errors.

Voice Coil Motor: basically an electromagnetic transducer in which a coil placed in a magnetic pole gap experiences a force proportional to the current passing through the coil.

Heat Transfer Boundary Value Problem: Solves second order Differential Equation for temperature distribution in a tapered fin.

Electrical Filter Design: find the transfer function's poles & zeros; H(s) = Yout(s) / Yin(s).

Digitized Signal from Magnetic Recording: Magnetic recording of transitions written onto a computer disc drive may produce an isolated pulse as shown.

PharmacoKinetics: an open-two- compartment model with first order absorption into elimination from central compartment is presented here.

Rocket Feed System: illustrates solving implicit differential equations that model a liquid propellant rocket feed system in the presence of a longitudinal vibration.

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