CORDIC algorithm and its applications

openThe CORDIC (Coordinate Rotation Digital Computer) algorithm is used for solving vast sets of functions such as trigonometric functions, hyperbolic functions and natural logarithms. This thesis is going to discuss how the algorithm works and its architecture implementation. It is also going to explore potential applications of the algorithm in digital communication systems, specifically for the realization of the DDS (Direct Digital Synthesis) and digital modulation.The CORDIC (Coordinate Rotation Digital Computer) algorithm is used for solving vast sets of functions such as trigonometric functions, hyperbolic functions and natural logarithms. This thesis is going to discuss how the algorithm works and its architecture implementation. It is also going to explore potential applications of the algorithm in digital communication systems, specifically for the realization of the DDS (Direct Digital Synthesis) and digital modulation

Застосування алгоритму прямого цифрового синтезу (DDS) в системах керування ультразвуковими резонансними приводами

Principles of building control schemes of ultrasonic resonance actuators using direct digital synthesis (DDS) are considered. The advantages of such schemes on the efficiency and adaptability to the traditional schemes are shown.Рассмотрены принципы построения схем управления ультразвуковыми резонансными приводами с использованием прямого цифрового синтеза (DDS). Показаны преимущества таких схем по эффективности и технологичности перед традиционными схемами

Agile low phase noise radio-frequency sine wave generator applied to experiments on ultracold atoms

We report on the frequency performance of a low cost (~500$) radio-frequency sine wave generator, using direct digital synthesis (DDS) and a field-programmable gate array (FPGA). The output frequency of the device may be changed dynamically to any arbitrary value ranging from DC to 10 MHz without any phase slip. Sampling effects are substantially reduced by a high sample rate, up to 1 MHz, and by a large memory length, more than 2.10^5 samples. By using a low noise external oscillator to clock the DDS, we demonstrate a phase noise as low as that of the master clock, that is at the level of -113 dB.rad^2/Hz at 1 Hz from the carrier for an output frequency of 3.75 MHz. The device is successfully used to confine an ultracold atomic cloud of rubidium 87 in a RF-based trap, and there is no extra heating from the RF source.Comment: 10 pages, 6 figure

Function generator with direct digital synthesis

Tato bakalářská práce popisuje návrh a konstrukci generátoru tvarových kmitů, jehož základem je integrovaný obvod přímé číslicové syntézy. Zařízení má dva výstupy; první, generující sinusový nebo trojúhelníkový průběh a druhý s obdélníkovým průběhem. Nastavení výstupního signálu je umožněno prostřednictvím tlačítek, inkrementálního rotačního snímače a potenciometru, zobrazení pomocí LCD displeje. Lze nastavit výstupní frekvenci od 1 Hz do 10 MHz s krokem 1 Hz, úroveň 0 – 10 V špicka-špicka plynule nebo skokově ( -20dB atenuátor) a stejnosměrnou složku -5 až +5 V. Přístroj je navíc připraven pro komunikaci s PC pomocí průmyslového rozhraní RS232.This bachelor’s thesis describes the design and construction of function generator, which is based on an integrated circuit of a direct digital synthesis. The device has two outputs; first generates harmonic or triangular wave and second generates square wave. Adjustment of output signal is enable with using the buttons, the incremental rotation sensor and potentiometer and displaying by using the LCD display. Generator allows adjust output frequency in range from 1 Hz up to 10 MHz with 1 Hz step size, output voltage smoothly 0 – 10 V peak-peak or using -20 dB attenuator and dc-offset in range from -5 V to +5 V. Device has RS232 interface for connect with the PC.

Characterization and benchmarking of a phase-sensitive two-qubit gate using direct digital synthesis

We implement an iSWAP gate with two transmon qubits using a flux-tunable coupler. Precise control of the relative phase of the qubit-control pulses and the parametric-coupler drive is achieved with a multi-channel instrument called Presto using direct digital synthesis (DDS), a promising technique for scaling up quantum systems. We describe the process of tuning and benchmarking the iSWAP gate, where the relative phase of the pulses is controlled via software. We perform the iSWAP gate in 290 ns, validate it with quantum-state tomography, and measure 2\% error with interleaved randomized benchmarking

Investigation of techniques for high speed CMOS arbitrary waveform generation

Today a growing number of applications in design engineering, production and environmental testing, and system service require specific analog waveforms and digital patterns. Such requirements are neither satisfactorily nor easily met by the use of standard function or single purpose, custom generators. Traditional methods of waveform generation suffer from undesirable complexity or mediocre performance and are otherwise limited. For the majority of arbitrary waveform generation applications, including medical engineering, modal analysis and electronic engineering, direct digital synthesis techniques are satisfactory. Direct digital synthesis, based generally on periodic retrieval of predetermined amplitude values, may be used to 2 generate such waveforms. Within the limits imposed by the system\u27s maximum sample rate and the Nyquist criteria, any waveform may be produced using these techniques. The objective of this inquiry, within a particular set of constraints, is to extend the cost/performance envelope of direct digital synthesis techniques for the generation of arbitrary waveforms. Performance is enhanced, particularly in the areas of output bandwidth and signal purity