Fixed-angle rotation operation of vectors is widely used in signal processing, graphics, and robotics. Various optimized coordinate rotation digital computer (CORDIC) designs have been proposed for uniform rotation of vectors through known and specified angles. Nevertheless, in the presence of faults, such hardware architectures are potentially vulnerable. In this thesis, we propose efficient e...

In this paper, the design of a CORDIC algorithm based radix8 FFT processor is presented for real-time harmonic analyzer. The actual need of FFT is the obtaining a levels of harmonics in power signal. Generally the radix-8 FFT processor is a twiddle factor based butterfly computation. At each stage of the butterfly the twiddle factor is multiplied with the input sequence and each stage required ...

The notion of Lehrer-concave integral is generalized taking instead of the usual arithmetical operations of addition and multiplication of reals more general real operations called pseudo-addition and pseudomultiplication.

The COordinate Rotation DIgital Computer (CORDIC) algorithm is an arithmetic algorithm to evaluate various elementary functions through a series of iterative operations. In this paper, a high-speed sine/cosine generator is based on double rotation of the original CORDIC algorithm by predicting all the rotation directions from the initial input angle. The proposed architecture has a simple predi...

—In this paper, we present a coordinate rotation digital computer (CORDIC) based fast algorithm for power-of-two point DCT, and develop its corresponding efficient VLSI implementation. The proposed algorithm has some distinguish advantages, such as regular Cooley-Tukey FFT-like data flow, identical post-scaling factor, and arithmetic-sequence rotation angles. By using the trigonometric formula,...

This paper presents a reusable intellectual property (IP) Coordinate Rotation Digital Computer (CORDIC)-based split-radix fast Fourier transform (FFT) core for orthogonal frequency division multiplexer (OFDM) systems, for example, Ultra Wide Band (UWB), Asymmetric Digital Subscriber Line (ADSL), Digital Audio Broadcasting (DAB), Digital Video Broadcasting – Terrestrial (DVB-T), Very High Bitrat...

This paper presents a FPGA implementation of micro-rotation selection algorithm for CORDIC architecture. By selection of third order of approximation of Taylor series, the proposed CORDIC circuit meets the accuracy requirements, and attains the desired range of convergence. The proposed architecture is a scale-free design which provides the flexibility to manage the number of iterations dependi...

In this paper we present the practical hardware implementation of a systolic array for performing recursive leastsquares minimisation via orthogonal matrix triangularisation. This is an extremely demanding task for high speed, real-time operation such as required in many modern adaptive antenna, radar, and sonar systems. Since the underlying Givens rotations can be e ciently computed by the COR...

This paper describes the design of a low-power DCT (Discrete Cosine Transform) architecture using varies techniques. The low-power design is one of the most important challenges to maximize battery life in portable devices and to save the energy during system operation. Discrete Cosine Transform (DCT) is one of the most popular lossy techniques used in image and video compression standards. Sev...

Coordinate Rotation Digital Computer is a general purpose digital computer for the real time computations. At present the need of Multipliers is increasing in various real time domains which have the core operations like trigonometric computations, Multiplication and Division. The three important parameters which affect the current trends of VLSI domains are power, speed and area. Usage of conv...