This thesis work contains a litterature study about electrical motors in general and how PWM-patterns for brushless DC-motors can be made. A suitable method has been implemented as a simulation model in VHDL. A simulation model of a brushless DC-motor which describes the phasecurrents, torque and angular velocity has also been made. The motor model made simulations easier for the complete PWM-system. The design was synthesised and tested with a prototypeboard including a SPARTAN II FPGA. In order to test the design, a powerstage and a motor was included. The tests showed that the design was working as expected according to the previous simulations. A study about an alternative way to control a brushless DC-motor has also been made. This alternative is best suited when the generated back-EMK for the motor is sinusoidal. A simulation model for a part of a system like this has been made, and it has been synthesised in order to examine if it is possible to implement using a FPGA availible today.

Communication and digital signal processing applications of today are often developed as fully integrated systems on one single chip and are implemented as application specific integrated circuits using e.g. VLSI technology. As the systems are getting more and more complex in terms of speed and performance the chip size and the design time tend to increase rapidly. This will result in search for cheaper and less time consuming alternatives. One alternative is field programmable gate arrays, so called FPGAs. The FPGAs are getting faster, cheaper and the number of gates increases all the time. A long list of ready to use functional blocks so called intellectual property (IP) blocks can be used in FPGAs. The latest FPGAs can also be bought with one or more embedded processors, in form of hard processor cores or as licenses for soft processor cores. This will speed up the design phase and of course also decrease the crucial time to market even more. The purpose of this master’s thesis was to develop a waveform generator to generate a sine signal and a cosine signal, I and Q, used for radio/radar applications. The digital signals should have an output data rate of at least 100 MHz. The digital part of the system should be implemented in hardware using e.g. an FPGA. To convert the digital signals to analog signals two D/A converters are used. The analog signals, I and Q, should have a bandwidth of 1 MHz - 11 MHz. The waveform generator was developed and implemented using a Virtex II FPGA from Xilinx. An embedded microprocessor within the FPGA, MicroBlaze, in form of a soft processor core was used to control the system. A user interface program running on the microprocessor was also developed. Testing of the whole system, both hardware and software, was done. The system is able to generate digital sine and cosine curves of an output data rate of 100 MHz.

The development in electronics increases the demand for good design methods and design tools in the field of electrical engeneering. To improve their design methods Ericsson Microwave Systems AB is interested in using computer tools to create a link between the specification and the implementation of a digital system in a FPGA. Xilinx System Generator for DSP is a tool for implementing a model of a digital signalprocessing algorithm in a Xilinx FPGA. To evaluate Xilinx System Generator two testcases has been designed. The testcases are selected to represent the FPGA designs made at Ericsson Microwave Systems. The testcases show that Xilinx System Generator can be used to effectivly implement a model made in Simulink in a FPGA from Xilinx. The result of the implementation is comparable to the implementation of VHDL code written by hand. The use of tools for implementation of a model in hardware cause change in the design methods used at Ericsson Microwave Systems. The higher level of abstraction introduced by System Generator results in the design decisions made at system level having a higher impact on the final realization.

This work is focused on the CORDIC algorithm for wireless LAN. The primary task is to create a VHDL description for CORDIC vector rotation algorithm. The basic research has been carried out in MATLAB. The VHDL implementation of the CORDIC algorithm is based on the results obtained from the MATLAB simulation. Mentor Graphics FPGA Advantage© for Xilinx 4010XL FPGA has been used for the hardware implementation.

The use of microcontrollers and FPGAs is getting more and more wide spread in electronic designs. A recent developmenthas been to implement microcontrollers onboard the FPGA, there are a lot of benefits but also disadvantages with this. Often the microcontroler requires a lot of resources in the expensive FPGA. This is where PicoBlaze, a microcontroller provided by Xilinx, fits in. It is designed with one main object, keep it as small and powerful as possible. In this report PicoBlaze is evaluated and documented. Two implementations have been done. One smaller to show how to use PicoBlaze and one larger implementation of an Ethernet network interface. The function of the implementations have been verified on a experiment board utilizing a Virtex-II FPGA. The conclusion is that PicoBlaze is a very powerful microcontroller in comparison to the resources it uses on the FPGA. It uses only a little more than 80 slices on a Virtex II FPGA. This is its main advantage, the disadvantages of PicoBlaze is its limited program memory and the limited address space.

In this thesis, we explore different algorithms for the inversion of Vandermonde matrices and the corresponding suitable architectures for implement in FPGA. The inversion of Vandermonde matrix is one of the three master projects of the topic, Implementation of a digital error correction algorithm for time-interleaved analog-to-digital converters. The project is divided into two major parts: algorithm comparison and optimization for inversion of Vandermonde matrix; architecture selection for implementation. A CORDIC algorithm for sine and cosine and Newton-Raphson based division are implemented as functional blocks.

Today, wireless communications is used more then ever before. Wired systems are replaced with wireless versions. New methods and transmission standards are developed and tested. The purpose of this thesis is development of a flexible high-performance System Test Platformfor test of the SoCTRix Wireless LAN Transceiver. The result is a Xilinx Virtex-II FPGA based System Test Platform board with CardBus PC Card interface to a computer. The hardware achieved has the following features: - 8-layer PCB - PCMCIA CardBus PC Card interface, enabling 133 MB/s data throughput - 1M Gate Virtex-II FPGA with reprogrammable configuration memory - Debugging via LEDs and Logic Analyzer connectors - 2x SPI EEPROM - 40 MHz system clock - Easy connection of two daughter-boards Specially designed for wireless transmitter development, can also be used for other computer related highperformance applications.

Digital Radio Frequency Memory (DRFM) is a technique widely used by the defense industry in, for example, electronic countermeasure equipment for generating false radar targets. The purpose of the DRFM technique is to use high-speed sampling to digitally store and recreate radio frequency and microwave signals. At Saab Bofors Dynamics AB the technique is used, among others, in the Electronic Warfare Simulator (ELSI). The DRFM technique is implemented in a full-custom ASIC circuit that has been mounted on circuit boards in ELSI. Today, the progress in the programmable hardware field has made it possible to implement the DRFM design in a Field Programmable Gate Array (FPGA). The FPGA technology has many advantages over a full custom ASIC design. Hence, the purpose of this master's thesis has been to develop a new DRFM design that can be implemented in an FPGA, using a hardware description language called VHDL. The method for this master's thesis has been to first establish a time plan and a requirement specification. After that, a design specification has been worked out based on the requirement specification. The two specifications have served as a basis for the development of the DRFM circuit. One of the requirements on the design was that the circuit should be able to communicate through an external Ethernet interface. A part of the work has, thus, been to review available external Ethernet modules on the market. The result is a DRFM design that has been tested through simulations. The tests shows that the design works as described in the design specification.

In FIPS 186-2, NIST recommends several finite fields to be used in the elliptic curve digital signature algorithm (ECDSA). Of the ten recommended finite fields, five are binary extension fields with degrees ranging from 163 to 571. The fundamental building block of the ECDSA, like any ECC based protocol, is elliptic curve scalar multiplication. This operation is also the most computationally intensive. In many situations it may be desirable to accelerate the elliptic curve scalar multiplication with specialized hardware. In this thesis a high performance elliptic curve processor is developed which is optimized for the NIST binary fields. The architecture is built from the bottom up starting with the field arithmetic units. The architecture uses a field multiplier capable of performing a field multiplication over the extension field with degree 163 in 0. 060 microseconds. Architectures for squaring and inversion are also presented. The co-processor uses Lopez and Dahab's projective coordinate system and is optimized specifically for Koblitz curves. A prototype of the processor has been implemented for the binary extension field with degree 163 on a Xilinx XCV2000E FPGA. The prototype runs at 66 MHz and performs an elliptic curve scalar multiplication in 0. 233 msec on a generic curve and 0. 075 msec on a Koblitz curve.

The Galois/Counter Mode of Operation (GCM), recently standardized by NIST, simultaneously authenticates and encrypts data at speeds not previously possible for both software and hardware implementations. In GCM, data integrity is achieved by chaining Galois field multiplication operations while a symmetric key block cipher such as the Advanced Encryption Standard (AES), is used to meet goals of confidentiality. Area optimization in a number of proposed high throughput GCM designs have been approached through implementing efficient composite Sboxes for AES. Not as much work has been done in reducing area requirements of the Galois multiplication operation in the GCM which consists of up to 30% of the overall area using a bruteforce approach. Current pipelined implementations of GCM also have large key change latencies which potentially reduce the average throughput expected under traditional internet traffic conditions. This thesis aims to address these issues by presenting area efficient parallel multiplier designs for the GCM and provide an approach for achieving low latency key changes. The widely known Karatsuba parallel multiplier (KA) and the recently proposed Fan-Hasan multiplier (FH) were designed for the GCM and implemented on ASIC and FPGA architectures. This is the first time these multipliers have been compared with a practical implementation, and the FH multiplier showed note worthy improvements over the KA multiplier in terms of delay with similar area requirements. Using the composite Sbox, ASIC designs of GCM implemented with subquadratic multipliers are shown to have an area savings of up to 18%, without affecting the throughput, against designs using the brute force Mastrovito multiplier. For low delay LUT Sbox designs in GCM, although the subquadratic multipliers are a part of the critical path, implementations with the FH multiplier showed the highest efficiency in terms of area resources and throughput over all other designs. FPGA results similarly showed a significant reduction in the number of slices using subquadratic multipliers, and the highest throughput to date for FPGA implementations of GCM was also achieved. The proposed reduced latency key change design, which supports all key types of AES, showed a 20% improvement in average throughput over other GCM designs that do not use the same techniques. The GCM implementations provided in this thesis provide some of the most area efficient, yet high throughput designs to date.