Implementation Method of CORDIC Algorithm to Improve DDFS Performance

Frequency synthesizer has been used in numerous communication applications. This is acknowledged as the heart of the electronics systems. Numerically controlled oscillator (NCO) is the primary part of this frequency synthesizer, which helps in generating high precision & high frequency signal. One of the best suited methods to empower the NCO is CORDIC algorithm. CORDIC (Coordinate Rotation Digital Computer) algorithm is one of the well-known methods used for the trigonometric & arithmetic calculation and applications of digital signal processing. This algorithm can work with higher efficiency for the signal generation & hardware utilization. CORDIC architecture is used in the NCO, which is the central part of DDFS (Direct Digital Frequency Synthesis) to produce analog signal. Here in this paper, a sinusoidal waveform generator is implemented using an efficient 16-stage pipelined CORDIC architecture with a very small look-up table (LUT). The architecture is designed, and its RTL simulation is carried out using Xilinx Vivado. The purpose of the work is to improve the output frequency and the accuracy. The architecture had been implemented on a Xilinx Spatran-6 (XC6SLX9) FPGA & the final results showed that the proposed pipelined architecture is capable of generating a maximum output frequency of 157.684 MHz with less than 1% (approximately 0.34%) of error.

This paper presents an ultra-high-speed direct digital frequency synthesizer (DDS) microwave monolithic integrated circuit (MMIC) implemented in 1μm GaAs HBT technology. The DDS has the capabilities of direct frequency modulations with 8-bit frequency resolutions. Utilizing a Double-Edge-Trigger (DET) 8-stage pipeline accumulator with sine-weighted DAC based ROM-less architecture, this DDS MMIC can maximize the utilization ratio of GaAs HBT's high-speed potential. With an external clock output frequency of 5GHz, the DDS can output sine signal of up to 5GHz frequency giving an average Spurious Free Dynamic Range (SFDR) of 23.24dBc through the first Nyquist band. The DDS MMIC consumes 2.4W of DC power from a single -4.6V DC supply. Using 1651 GaAs HBT transistors, the total area of the DDS chip is 2.4 × 2.0mm <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> .

A ROM-less direct digital frequency synthesizer (DDFS) is implemented based on a new 8th-order polynomial approximation of a cosine function, where digital square circuits are used to realize the components of the polynomial. MATLAB tools are used to simulate the performance of the DDFS system, where the spurious free dynamic range (SFDR) is employed as the performance factor. For a DDFS with a superior quality, the higher the SFDR, the better the spectrum purity. To validate the performance of the DDFS, the Altera FPGA platform is used with Quartus II and ModelSim, where simulation results based on Verilog implementation are illustrated.

This paper presents new techniques to implement direct digital frequency synthesizers (DDFSs) with optimized piecewise-polynomial approximation. DDFS performances with piecewise-polynomial approximation are first analyzed, providing theoretical upperbounds for the spurious-free dynamic range (SFDR), the maximum absolute error, and the signal-to-noise ratio. A novel approach to evaluate, with reduced computational effort, the near optimal fixed-point coefficients which maximize the SFDR is described. Several piecewise-linear and quadratic DDFS are implemented in the paper by using novel, single-summation-tree architectures. The tradeoff between ROM and arithmetic circuits complexity is discussed, pointing out that a sensible silicon area reduction can be achieved by increasing ROM size and reducing arithmetic circuitry. The use of fixed-width arithmetic can be combined with the single-summation-tree approach to further increase performances. It is shown that piecewise-quadratic DDFSs become effective against piecewise-linear designs for an SFDR higher than 100 dBc. Third-order DDFSs are expected to give advantages for an SFDR higher than 180 dBc. The DDFS circuits proposed in this paper compare favorably with previously proposed approaches.

A direct digital frequency synthesizer (DDFS) based on a non-equal division parabolic polynomial interpolation method is proposed in this paper. To attain high spurious free dynamic range (SDRF) and reduce area cost, a parabolic polynomial interpolation method is adopted in the proposed design to replace conventional ROM-based phase-to-sine mapper methods. Particularly, the left 1/4 of the phase range is approximated using a low-curvature parabolic curve. The proposed design is manufactured using a standard 0.18 μm CMOS technology. The maximum output frequency is 50 MHz, the core area is 1.4528 mm <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> , and the spurious free dynamic range (SFDR) is 68.67 dBc. The proposed DDFS outperforms prior works' SFDR and energy efficiency.

Arbitrary Waveform Generator (AWG) is an important signal generation module in many applications such as communication and mixed signal testing. This paper describes an AWG based on Direct Digital Frequency Synthesizer (FFDS). The CORDIC algorithm with an iterative process and a pipeline plus parallel structure are used to implement the AWG whose frequencies and amplitudes of sinusoid waveforms in the arbitrary wave can be controlled by frequency control words (FCWs), initial vectors of CORDIC module respectively. Compared to the conventional AWG, it is flexible and saves much hardware.

A novel design is presented about ROM-less direct digital frequency synthesizer (DDFS) using phase to sinusoid amplitude conversion blocks based on the two segment fourth-order parabolic approximation. The mathematical maximum error analysis shows that the resolution is up to 14 bits. In order to reduce the hardware complexity without sacrificing speed, the squarer and constant multipliers have been decomposed and optimized. The whole architecture has been split into twenty pipelining stages with a 200 MHz clock rate and a single phase output up to 50 MHz. Meanwhile, because the sine and cosine phase to amplitude modules share the same hardware, reduction of hardware complexity and power consumption can be achieved. Spectral purity analysis shows that the worst case spurious free dynamic range (SFDR) is about -90 dBc. The implementation demonstrates that the proposed DDFS architecture can be realized with a smaller hardware scale and lower power consumption than many other existing approaches.

Direct digital frequency synthesis (DDS) as an indispensable key technology for modern communication systems, is widely used in digital communications, satellite communications, aerospace and high-speed instrumentation. In practical applications, DDS technology is usually required to generate different kinds of communication signals. In view of the fact that there is no related research on spurious signals when DDS technology generates communication signals, this paper based on a DDS model that can generate arbitrary symbol rate communication signals, analyzes spurious signals of the structure in detail. The conclusions of this paper can be used for the spur evaluation and parameter selection in DDS engineering applications. At the same time, this paper provides a theoretical basis for the low spurious design of DDS, and has certain reference value for DDS to generate communication signals.

A 4-stage pipeline ROM-less direct digital frequency synthesizer (DDFS) with equal division interpolation is proposed in this work. To attain higher SFDR (spurious free dynamic range) and faster clock rate, the hardware cost and delay using different segments with various interpolation equations are analyzed systematically to explore the optimal solution. The parabolic equations with proper selection of coefficients and factorized operation orders based on optimized hardware cost and delay are finally utilized to enhance SFDR. The proposed design is demonstrated by the physical implementation on Altera FPGA platform. The average SFDR is measured to be 68.4242 dBc with 1.1659 dBc deviation over 33 times of experiments. The measured SFDR is proved to outperform many previous DDFS works even if they were implemented on silicon.

In this paper, we analyze the design and the possible optimization methods of the direct digital frequency synthesizer (DDFS) based on quadratic approximation. The goal is to design a DDFS with reduced hardware cost and very high spectral purity. For the DDFS based on quadratic approximation, there is a trade-off between the size of the memory and the approximation logic. We show that by exploring this trade-off, it is possible to design a DDFS which requires less hardware and features higher spectral purity than the previously presented solutions. By using the proposed design method, a DDFS that generates 16-bit sinusoidal waves with a spurious free dynamic range of 132 dBc (126 dBc if the phase is truncated) was designed.

In this paper, a quadrature direct digital frequency synthesizer (DDFS) based on a new angle rotation algorithm is presented. It is shown that the proposed architecture features higher spectral purity,, reduced hardware cost, power consumption, and tuning. latency when compared to previously presented designs. The introduced DDFS produces 16-bit sine and cosine waveforms with a spurious free dynamic range (SFDR) of 114 dBc. The design was implemented using a 0.35 /spl mu/m CMOS technology. It occupies an area of 0.46 mm/sup 2/ and dissipates 115 mW at 3.3 V supply voltage and 100 MHz clock.

This paper introduces a novel Direct Digital Frequency Synthesizer (DDFS) based on Complementary Dual-Phase Latch-Based digital design. Compared to conventional DDFS using Flip-Flop as synchronizing element, the proposed approach allows to double the sampling data rate while enhancing the clock skew tolerance and system latency. The design features a 24 bits pipelined Phase Accumulator (PA) and a 14×10 bits Phase to Amplitude Converter (PAC). The Phase to Amplitude Converter module is compressed using Quarter Wave Symmetry technique and is entirely made up of combinational logic inserted into 12 Complementary Dual-Phase Latch-Based pipeline stages. The logic is represented in the form of Sum of Product (SoP) terms obtained from a 14×10 bits sinusoidal Look-Up-Table. The proposed DDFS is designed and simulated based on TSMC 65nm CMOS standard-cell technology. A maximum data sampling rate of 6.8 GS/s and 0.022 W/ GS/s Power Efficiency (PE) is expected.

In this paper, we propose an application of new direct digital frequency synthesizer, which clock frequency is up to 3.2 GHz. The design can generate single signal, chirp signal, stepped-frequency signal and stepped-frequency chirp signal from dc to 1500 MHz. The conclusions are drawn after comparing the NEW DDS with AD9858: phase noise and spurious spectrum of the NEW DDS are better than AD9858.

Polar modulation techniques offer the capability of multimode wireless systems and the potential for a high efficiency power amplifier (PA). This paper describes a new design of digital signal processing (DSP) engine for the polar transmitter. The digital part includes a rectangular-to-polar converter and digital phase modulator, and the engine is designed for the EDGE (2.5G) system. We employ the coordinate rotation digital computer (CORDIC) and direct digital frequency synthesizer (DDFS) techniques in our design. A prototype chip has been designed and fabricated in the UMC 0.18 /spl mu/m CMOS process with 1P6M technology.

In a satellite, there exist various communication subsystem like Telecommand, Telemetry and Payload data transfer. Depending on the requirements of a particular system, different modulation techniques are being used. In general, M-PSK modulation techniques are preferable as they are power and bandwidth efficient. The paper presents the digital implementation QPSK & 8-PSK modulators for satellite communication. The modulators are realized using the concept of Direct Digital Frequency Synthesis (DDFS). The use of look up table and COrdinate Rotation Digital Computer (CORDIC) algorithm is explained in details with their comparison on the basis of spectral purity and hardware requirements. The paper describes different methods of implementations of QPSK and 8-PSK modulator with comparison in terms of hardware requirement. The design of modulators are first developed, simulated and optimized on the software tool and then coded in VHDL for hardware realization. The designs are tested on Xilinx platform.