By Bharathwaj Muthuswamy, Santo Banerjee
The function of this introductory publication is to couple the educating of chaotic circuit and structures concept with using box programmable gate arrays (FPGAs).
As such, it differs from different texts on chaos: first, it places emphasis on combining theoretical equipment, simulation instruments and actual recognition to assist the reader achieve an intuitive figuring out of the houses of chaotic platforms. moment, the "medium" used for actual cognizance is the FPGA. those units are vastly parallel architectures that may be configured to gain quite a few good judgment services. consequently, FPGAs might be configured to emulate platforms of differential equations.
Nevertheless maximizing the features of an FPGA calls for the person to appreciate the underlying and in addition FPGA layout software program. this can be completed by means of the 3rd virtue of this ebook: a lab part in each one bankruptcy. right here, readers are requested to test with machine simulations and FPGA designs, to additional their realizing of options coated within the book.
This textual content is meant for graduate scholars in technological know-how and engineering attracted to exploring implementation of nonlinear dynamical (chaotic) structures on FPGAs.
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Additional info for A Route to Chaos Using FPGAs: Volume I: Experimental Observations
In other words, we have two superimposed straight lines in our solution space. 2 plots one of the equations, the result is Fig. 10. The beauty of linear equations is that we can have only two other kinds of solutions to a system of linear equations: a unique solution or no solution. The detailed study of linear systems and their application is the subject of linear algebra . We will introduce concepts from linear algebra, when required in this book. Unlike linear equations, one cannot state beforehand (or a priori) how many solutions a nonlinear equation can have in general.
We are not writing a software program and hence it is essential to approach HDL from the hardware’s perspective. The synthesis software should also be treated as a tool to perform transformation and local optimization. It cannot alter the original architecture or convert a poor design into a good one . A rule of thumb: if we as humans cannot understand the underlying hardware functionality via the HDL, the synthesizer will not translate the design into a correct functional specification. 1 below is a sample VHDL hardware specification.
Eighteen red LEDs are situated above the 18 Slide switches, and eight green LEDs are found above the push-button switches (the 9th green LED is in the middle of the 7-segment displays). Each LED is driven directly by a pin on the Cyclone IV FPGA; driving its associated pin to a high logic level turns the LED on, and driving the pin low turns it off. 10 shows the connections between LEDs and Cyclone IV FPGA. 3 7-Segment Displays The DE2-115 board has eight 7-segment displays. These displays are arranged in two pairs and a group of four.