• Journal of the Institute of Electronics Engineers of Korea SD
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• v.41 no.12
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• pp.75-81
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• 2004

AE-CORDIC improves the CORDIC operation speed with a rotation direction pre-computation algorithm. Its CORDIC iteration stages consist of non-predictable rotation direction states and predictable rotation stages. The non-predictable stages are replaced with lookup-table which has smaller hardware size than CORDIC iteration stages. The predictable stages can determine rotation direction with the input angle and simple encoder. In this paper, a rotation direction pre-computation algorithm with input angle encoder is proposed. and AE-CORDIC which have optimized Lookup-table is compared with the P-CORDIC algorithm. Hardware size, delay, and SQNR of the AE-CORDIC are verified with Samsung 0.18㎛ technology and Synopsys design compiler when input angle bit length is 16.

• Journal of KIISE:Computing Practices and Letters
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• v.14 no.8
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• pp.763-767
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• 2008

In this paper, to make a high performance and low power CORDIC architecture for 3D operations in mobile devices, we suggest two off-line vectoring algorithms named Angle Based Search (ABS) and Scaling Considered Search (SCS). The ABS algorithm represents a 3D vector with two angles and those angles are used as a condition for searching CORDIC rotation sequences. The SCS algorithm determines the best CORDIC rotation sequence in advance to eliminate extra scaling computation. Using the proposed algorithms, we can observe 50% of latency is reduced. Furthermore, we perform a simple analysis and discuss possible reduction of power consumption by applying voltage scaling method together with the proposed algorithm.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.29 no.5C
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• pp.692-699
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• 2004

In this paper we studied an implementation of QR decomposition-based RLS algorithm using modified Givens rotation method. Givens rotation can be obtained with a sequence of the CORDIC operations. In order to reduce the computing time of QR decomposition we restricted the number of iterations of the CORDIC operation per a Givens rotation and used double-rotation method to remove the square-root in the scaling factor.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.46 no.2
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• pp.66-72
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• 2009

In this paper, an efficient frequency offset synchronization structure for OFDM(Orthogonal Frequency Division Multiplexing) is proposed. Conventional CORDIC(Coordinate Rotation Digital Computer) algorithm for frequency offset synchronization utilizes two CORDIC hardware i.e., one is vector mode for phase estimation, the other is rotation mode for compensation. But proposed structure utilizes one CORDIC hardware and divider. Through simulation, it is shown that hardware implementation complexity is reduced compared with conventional structures. The Verilog-HDL coding and front-end chip implementation results for the proposed structure show 22.1% gate count reduction comparison with those of the conventional structure.

• Journal of the Institute of Convergence Signal Processing
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• v.11 no.1
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• pp.41-46
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• 2010

In this paper, the DoA(Direction of Arrival) estimator using unitary MUSIC algorithm is studied. The complex-valued correlation matrix of MUSIC algorithm is transformed to the real-valued one using unitary transform for easy implementation. The eigenvalue and eigenvector are obtained by the combined Jacobi-CORDIC algorithm. CORDIC algorithm can be implemented by only ADD and SHIFT operations and MUSIC spectrum computed by 256 point DFT algorithm. Results of unitary MUSIC algorithm designed by System Generator for FPGA implementation is entirely consistent with Matlab results. Its performance is evaluated through hardware co-simulation and resource estimation.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.45 no.3
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• pp.103-110
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• 2008

In this paper, an efficient butterfly structure for 8K/2K-Point Radix-4 FFT algorithm using CORDIC(coordinate rotation digital computer) is proposed. It is shown that CORDIC can be efficiently used in twiddle factor calculation of the Radix-4 FFT algorithm. The Verilog-HDL coding results for the proposed CORDIC butterfly structure show 36.9% cell area reduction comparison with those of the conventional multiplier butterfly structure. Furthermore, the 8K/2K-point Radix-4 pipeline structure using the proposed butterfly and delay commutators is compared with other conventional structures. Implementation coding results show 11.6% cell area reduction. Due to its efficient processing scheme, the proposed FFT structure can be widely used in large size of FFT like OFDM Modem.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.47 no.9
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• pp.1-8
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• 2010

A digital phase wrapping modulation (DPM) open-loop polar transmitter can be efficiently applied to a wideband orthogonal frequency division multiplexing (OFDM) communication system by converting in-phase and quadrature signals to envelope and phase signals and then employing the signal mapping process. This mapping process is very similar to quantization in a general communication system, and when taking into account the error that appears during mapping process, one can replace the coordinates rotation digital computer (CORDIC) algorithm in the coordinate conversion part with the Taylor series approximation method. In this paper, we investigate the application of the Taylor series approximation to the cartesian to polar coordinate conversion part of a DPM polar transmitter for wideband OFDM systems. The conventional approach relies on the CORDIC algorithm. To achieve efficient application, we perform computer simulation to measure mean square error (MSE) of the both approaches and find the minimum approximation order for the Taylor series approximation compatible to allowable error of the CORDIC algorithm in terms of hardware design. Furthermore, comparing the processing speeds of the both approaches in the implementation with FPGA reveals that the Taylor series approximation with lower order improves the processing speed in the coordinate conversion part.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.47 no.10
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• pp.49-56
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• 2010

In this paper, a low-power frequency offset synchronization structure using CORDIC algorithm is proposed. Main blocks of frequency offset synchronization are estimation and compensation block. In the proposed frequency offset estimation block, implementation area is reduced by using sequential CORDIC, and throughput is accelerated by using 2 step CORDIC. In the proposed frequency offset compensation block, pipeline CORDIC is utilized for area reduction and high speed processing. Through MatLab simulation, function for proposed structure is verified. Proposed frequency offset synchronization structure is implemented by Verilog-HDL coding and implementation area is estimated by Synopsys logic synthesis tool.

• Proceedings of the IEEK Conference
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• 1999.11a
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• pp.985-988
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• 1999

This paper describes the architecture and the IC implementation of a Direct Digital Frequency Synthesizer (DDFS). That is based on an angle rotation algorithm (CORDIC). It is shown that the architecture can be implemented as a multipliers, feedfoward, and easily pipelineable datapath. A prototype IC has been designed, fabricated in 0.35${\mu}{\textrm}{m}$ SAMSUNG KG90 Library.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.35 no.12C
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• pp.1029-1034
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• 2010

For All Digital QPSK receivers, a phase recovery scheme is required to fix the arbitrarily rotated I/Q quadrature signals due to the transmission path and clock mismatch between the transmitter and the receiver. The conventional Costas phase recovery loop scheme requires a separate AGC(Automatic Gain Control) to obtain the performance independent of input signal power. This paper proposes a simple scheme which separates the phase and amplitude of the input signal via CORDIC algorithm and performs the phase recovery and amplitude compensation simultaneously. The proposed scheme can considerably reduce the logic resources in hardware implementation, has been verified by C++ and Model Sim simulations.