Overview of key DNAx Technology Applications

The DNAx Technology* is a completely original and very simple mathematical tool that is suitable to accelerate signal and control processing on the electrical, communications and computer engineering fields. All application solutions involving DNAx will present a total equivalency between the mathematically defined function and the electrical signal output, and vice-versa. The calculations involve polynomial roots, which are naturally very accurate when timing precision is a factor. For more information see: Publication 1450014.

* US patent 7,801,936

1. Polynomial Signal Processing using DNAx Technology: PSP-D

2. Simultaneous Logic Calculations and Pulse Shaping for Minimum Signal Bandwidth

3. High Rate Data Compression for Fiber Optics Applications

4. Slew Rate Modulation

5. Sine Wave Generator with Extremely low Harmonic Distortion

6. Image Vectorization Processing

7. DNAx and Ultra Wide Band Communication

8. Modeling Dynamic Nyquist Pulses with DNAx Technology

9. Real-Time Adaptive Domain Multiplexers: ATDM

10. Multichannel Pulse Width Modulation

The PSP proved to be very efficient for programmable logic applications. PSP explores the FPGA parallelism executing complete instructions using much fewer clock cycles. For one tested application, a Pulse Position Modulator required 100,592 clock cycles of instructions when using serial DSP logic programming. The same operation can be achieved with equal performance, but in just 27 clock cycles when PSP programing is implemented. The processing power was increased by a factor of 4,096 times. For more information, Contact Us.

Software based manipulations can dynamically change in real time with the DNAx Operator parameters. Because of that, without the need to digital filters, it is possible to build the ideal pulse shape that is most suitable for the communication channel characteristics at a given moment. The same pulse shape is used to implement logic calculations during the programming process. More specifically, same calculation routines can be executed on the logic block of the system, using pulses with different roll-offs. For more information, Contact Us.

This application carries the potential to achieve a dramatic increase the data compression rates. A conceptual prototype was already tested successfully, showing a 4/3 compression rate at 207Mbit/s. The compressed output data stream was chosen to be a Pulse Position Modulated (PPM) stream. The compressed data occupied 0.75 of the time compared to the original uncompressed data stream. The coding algorithm is based in a family of sixteen polynomials that are able to represent a four-bit digital word. The conceptual prototype was part of the demo track show at the IEEE congress in Newport Beach on January 2014. See: Paper 241.

DNAx technology mathematically defines the rectangular function transitions, 0-1-0, as continuous. As consequence, variations on how fast the transitions occurs is a simple matter of changing the parameters of the DNAx equation. If the DNAx parameters are changed according to a modulating function, it is possible to impose correlated slew rate variations to complete the modulation process. The slew rate is in fact the fourth parameter that is now available to transmit information. The other three parameters are; the amplitude, the frequency and the phase. See: Paper 129.

The total harmonic distortion, THD, can be set as low as desired for a sine waveform function. DNAx Technology developed a linear process of sum of DNAx square-waves-like, SWL, which is able to generate a sine waveform. The more SWL signals are parceled in the sum process, the lower the THD will be. Each SWL will have a specific amplitude and specific phase, however, all the SWL's are generated on the same frequency, and this frequency is also the frequency of the output sine waveform signal. This process is named the dual of the Fourier series. A system composed by eight SWL has generated a sine waveform signal showing a THD of -72dB. Increasing the number of SWL up to 24, the THD becomes -304dB. For more information, Contact Us.

The DNAx family of functions refers to a group of modified exponential functions which exhibit behavior similar to a Gaussian function, but which allow the pulse width and flatness characteristic to be modified. It is possible to explore these characteristics in many fields of digital processing; however, a less-obvious potential application of these functions is in the field of image vectorization. By implementing the DNAx equations, processing power of any given system will increase dramatically for the same resulting image quality. Conversely, the image quality can be increased for the same amount of data processing used. Potential fields of application for image vectorization with DNAx technology include object recognition, 3D printing, modern CAD/CAM, real time Medical images processing, the games Industry, finger printing ID, and biometrics. See: Paper 246.

The solution for UWB applications that the DNAx Technology offers is an alternative to overcome the difficulties on generating short duration pulses; it is a new technique for UWB pulse synthesis. Simulations have shown encouraging results. The DNAx proposed solution exceed the FCC mask requirements in about 10dB on the flat noise region. See: Paper 140.

A family of Nyquist pulses can be modeled and generated on demand exhibiting a full range of zero-to-one roll values. The same roll-off value will be present on the rise and on the fall time of the pulse. Another family of Nyquist pulses can be generated showing different values of roll-off for the rise time and for the down time. The DNAx Nyquist Pulse generator for any of the conditions described above requires the use of digital filters. The signal generating process is fully based on proper software manipulation of the DNAx operator parameters. The Nyquist Pulse generated by the DNAx technology does not exhibit undershoot and overshoot fringe signals common in traditional Nyquist pulses. This feature can ease the problem of ISI interferences. See: Paper 198.

The DNAx Technology is able to mathematically create and manipulate one or more what are named Operational Window Aperture, or OWA. On the time domain, the OWA is a region where insertion of analog signals is a result of a linear operation. Outside of the OWA, the DNAx function is equal to zero. Under DNAx Technology proprieties, a four channels multiplex would require four side-by-side OWA's on superposition. Dynamic software by operation demands (heavy traffic, signal-to-noise conditions) can change the parameters of the DNAx equation dynamically as needed, including the number of OWA's and the width of each OWA independently. These possibilities allow the development of a family of ATDMs with great capabilities of synchronization and adaptability for applications in the telecommunications field. For more information, Contact Us.

Two data digital channels, A and B, can be transmitted when multiplexed into one single transport stream. This communication channel is implemented when the single transport stream is Pulse Width Modulated, PWM. When on steady state, no modulation, the pulse width is minimum. Channel A data when present will change the width of the carrier pulse from the center to the right. Channel B data when present will change the pulse width from the center to the left. In the event where the channel data A is the logic value one, it will force the width of the carrier pulse to its maximum value on the right direction, in event of the channel A is the logic value zero, the width of the carrier pulse will de dragged to the right, but not as far. Same, per analogy, applies to the data channel B. For more information, Contact Us.