The use of CORDIC in software defined radios: a tutorial

Valls, Javier; Sansaloni, T.; Perez-Pascual, A.; Torres, V.; Almenar, Vicenç

doi:10.1109/mcom.2006.1705978

Cited by 75 publications

(27 citation statements)

References 8 publications

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“…In communications systems the target waveforms are the sine and cosine ones. A DDS is composed of a phase accumulator and a phase-to amplitude converter [3], as shown in Fig. 2 a.…”

Section: A Direct Digital Synthesismentioning

confidence: 99%

FPGA implementation of cordic algorithm used in DDS based modulators

Godbole¹,

R.H²

2015

International Journal of Advanced Research in Computer and Comm

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Abstract:The modern communication systems and software radio based applications demands smart transceivers, consisting of only an antenna and a fully programmable circuit with digital modulators and demodulators. A basic communication system's transmitter modulates the amplitude, phase or frequency proportional to the signal being transmitted. An efficient solution (that doesn't require large tables/memory) for realizing universal modulator is CORDIC (CO-ordinate Rotation Digital Computer) algorithm. The CORDIC algorithm is used in the rotation mode, to convert the coordinates from polar mode to rectangular mode. CORDIC is a versatile algorithm widely used for VLSI implementation of digital signal processing applications. This paper presents how to use CORDIC to implement different communication subsystems that can be found in software defined radio. Specifically, it shows how to use CORDIC to implement direct digital synthesizers and ASK, PSK, FSK Modulators. The focus of this paper is to analysis and simulation of ASK, FSK, PSK modulation scheme using Direct Digital Synthesizer having CORDIC algorithm at the place of ROM Look up Table. CORDIC Algorithm provides many significant advantages over Conventional ROM Look up Table. Keywords: Software Defined Radio, CORDIC algorithm, DDS, ASK, FSK, PSK. I INTRODUCTIONThe Coordinate Rotation Digital Computer (CORDIC) was introduced in 1959 by Volder [1]. It is an easy-toimplement and versatile algorithm widely used for digital signal processing applications. It computes iteratively the rotation of a two-dimensional vector using only add and shift operations. CORDIC has been traditionally used for hardware implementations. In [2] several algorithms which admit efficient implementation using CORDIC were reviewed: linear transforms, digital filtering, and matrix based DSP computing algorithms. It was shown that CORDIC-based architectures are a very appealing alternative to conventional multiply-and-add hardware. However, CORDIC may be also applied to implement different communication subsystems found in a digital radio: direct digital synthesizers; amplitude shift keying (ASK), phase shift keying (PSK), and frequency shift keying (FSK) modulators. • Rotation Mode (RM): Rotation of a vector (I, Q) by an angle q when it is operating in rotation mode (RM); the rotated output vector is multiplied by a constant value K. II CORDIC FUNDAMENTALS•Vectoring Mode (VM): Cartesian-to-polar conversion, when it is operating in vectoring mode (VM); the modulus of the vector is also scaled by K. (1) Z i+1 = Z i -d i × a i

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“…In communications systems the target waveforms are the sine and cosine ones. A DDS is composed of a phase accumulator and a phase-to amplitude converter [3], as shown in Fig. 2 a.…”

Section: A Direct Digital Synthesismentioning

confidence: 99%

FPGA implementation of cordic algorithm used in DDS based modulators

Godbole¹,

R.H²

2015

International Journal of Advanced Research in Computer and Comm

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“…CORDIC algorithm can be used for efficient implementation of various functional modules in a digital communication system [85]. Most applications of CORDIC in communications use the circular coordinate system in one or both CORDIC operating modes.…”

Section: Applications To Communicationmentioning

confidence: 99%

“…9 it could be used for digital realization of analog amplitude modulation (AM), phase modulation (PM), and frequency modulation (FM), as well as the digital modulations, e.g., amplitude shift keying (ASK), phase-shift keying (PSK), and frequency-shift keying (FSK) modulators. It could also be used for the up/down converters for quadrature-amplitude modulators (QAM) and full mixers for complex signals or phase and frequency corrector circuits for synchronization [85].…”

Section: ) Analog and Digital Modulationmentioning

confidence: 99%

50 Years of CORDIC: Algorithms, Architectures, and Applications

Meher

Valls

Juang

et al. 2009

IEEE Trans. Circuits Syst. I

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456

198

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“…It is also used in 3D graphics as vector interpolator [3]. CORDIC has found a significant place even in upcoming technologies like Cognitive radio and Software Define Radio (SDR) [8].…”

Section: Introductionmentioning

confidence: 99%

A Novel Scaling Free Vectoring CORDIC and its FPGA Implementation

Jain¹,

Khare²,

Aggarwal³

2013

IJCA

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This research paper proposes a novel scaling free CORDIC algorithm to operate in vectoring mode which computes absolute magnitude and phase angle of input vector. Using this algorithm, the micro rotation of the vector is unidirectional and totally scaling free. The range of convergence is successfully extended to cover entire coordinate space without increasing any hardware complexity.Further a 16 bit Scaling free vectoring CORDIC architecture based on this proposed algorithm is synthesized on FPGA Xilinx Virtex-5 device using Verilog hardware description language. Synthesized results show throughput every clock cycle with maximum operating frequency of 243.55MHz and demonstrate very low dynamic power consumption.

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The use of CORDIC in software defined radios: a tutorial

Cited by 75 publications

References 8 publications

FPGA implementation of cordic algorithm used in DDS based modulators

FPGA implementation of cordic algorithm used in DDS based modulators

50 Years of CORDIC: Algorithms, Architectures, and Applications

A Novel Scaling Free Vectoring CORDIC and its FPGA Implementation

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