Design and chip implementation of modified CORDIC algorithm for Sine and Cosine functions application: PARK transformation

Ghariani, Moez; Masmoudi, N.; Kharrat, Maher; Kamoun, Lotfı

doi:10.1109/icm.1998.825609

Cited by 8 publications

(6 citation statements)

References 2 publications

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“…Indirect access dimensional vector, in linear, circular or hyperbolic coordinate systems, using only add and shift operations [17]. Its current applications are in the field of digital signal processing, image processing, filtering, matrix algebra, etc.…”

Section: Direct Accessmentioning

confidence: 99%

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Transformation Matrix for 3D computer Graphics Based on FPGA(English)

Ali¹

2012

(AREJ)

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The real time of the computer graphics system performance is one of the fast many computing applications. The 3D (three-dimensional) geometric transformations are one of the most important principles of interactive computer graphics, which are essential for modeling, viewing and animation. This paper tends to construct a general form of a single matrix representation for multiple geometric transformations for threedimensional objects. This way, a speed up factor of 1 to 5 can be gained. Architecture is designed, and implemented as a hardware unit, and then tested for the single matrix transformation, using Field Programmable Gate Array (FPGA).

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Section: Direct Accessmentioning

confidence: 99%

“…The sum of all rotation angles is equal to the value of α , while the value of the x-component corresponds to the length R of the vector (x, y). The mathematical relations for the adopted rotation mode are given by equations 7, (8), and (9) [17].…”

Section: Direct Accessmentioning

confidence: 99%

Transformation Matrix for 3D computer Graphics Based on FPGA(English)

Ali¹

2012

(AREJ)

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“…The CORDIC algorithm is capable of evaluating many elementary trigonometric functions such as Sine and Cosine. CORDIC is an iterative procedure for the calculation of the rotation of a two-dimensional vector, in linear, circular or hyperbolic coordinate systems, using only add and shift operations [17]. Its current applications are in the field of digital signal processing, image processing, filtering, matrix algebra, etc.…”

Section: Cordic Algorithmmentioning

confidence: 99%

“…The sum of all rotation angles is equal to the value of , while the value of the x-component corresponds to the length R of the vector (x, y). The mathematical relations for the adopted rotation mode are given by equations (8), (9), and (10) [17]. x (i+1) =x (i)…”

Section: Cordic Algorithmmentioning

confidence: 99%

Fpga Based Implementation Of Concatenation Matrix

Ali¹,

Dawod²

2010

(AREJ)

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The computer graphics system performance is increasing faster than any other computing application. The Geometric transformations and animation are one of the most important principle of the interactive computer graphics which are essential for modeling and viewing. This paper tends to construct a general form of matrix representation of the geometric transformations and implement it using Field Programmable Gate Array (FPGA). In addition to that the sine and cosine function evaluation is done using two techniques, the lookup table method and CORDIC algorithm.

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“…Some of the techniques to design the DDFS are Coordinate Rotation Digital Computer (CORDIC) Technique, Lookup Table Technique. While 2, 3, 4 have used Lookup Table based approaches, CORDIC based approaches have been used in 5,6,7 for the generation of Sine and Cosine. Both LUT and CORDIC technique can be used to design the DDFS 8 .…”

Section: Introductionmentioning

confidence: 99%

VLSI Design and Implementation of Efficient Software Defined Radio Using Optimized Quadrature Direct Digital Frequency Synthesizer on FPGA

Vishnu¹,

Karthik²,

Jabeen³

2015

Procedia Computer Science

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This paper presents an framework for efficient design and implementation of software defined radio (SDR) on FPGA platform using optimized Quadrature Direct Digital Frequency Synthesizer (QDDFS). An basic SDR System consists of RF Antennas, Analog to Digital converter (ADC), Digital to Analog converter (DAC), Filters and processing units.Reconfigurability and optimization can be achieved in the processing unit to a maximum extent. Processing unit of the SDR System is designed and implemented completely in this paper. The important parts of the SDR system designed are 16-Quadrature Amplitude Modulation (16-QAM), Orthogonal Frequency Division Multiplexing (OFDM) (16 point Fast Fourier Transforms (FFT), Inverse Fast Fourier Transform (IFFT) and Cyclic Prefix) and QDDFS. QDDFS generates the sine and cosine values in digital domain and it is optimized in terms of the device utilization with efficientperformance and the functionality of rapidly hopping between the different frequencies, faster response time are also achieved. Both in transmitter and receiver, the same QDDFS architecture is used. The Input to the SDR system designed is Text Data which is fed and retrieved in the ASCII Format.

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Design and chip implementation of modified CORDIC algorithm for Sine and Cosine functions application: PARK transformation

Cited by 8 publications

References 2 publications

Transformation Matrix for 3D computer Graphics Based on FPGA(English)

Transformation Matrix for 3D computer Graphics Based on FPGA(English)

Fpga Based Implementation Of Concatenation Matrix

VLSI Design and Implementation of Efficient Software Defined Radio Using Optimized Quadrature Direct Digital Frequency Synthesizer on FPGA

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