Trigonometric functions are among the most useful functions in the digital signal processing applications. The design introduced in this paper computes the trigonometric functions by means of the systolic arrays. The method for computing these functions for an arbitrary angle, , is the CORDIC algorithm. A simple standard cell is used for the systolic array. Due to the fixed inputs, in some...

Trigonometric functions are among the most useful functions in the digital signal processing applications. The design introduced in this paper computes the trigonometric functions by means of the systolic arrays. The method for computing these functions for an arbitrary angle, , is the CORDIC algorithm. A simple standard cell is used for the systolic array. Due to the fixed inputs, in some...

Cordic based IIR digital lters possess desirable properties for VLSI implementation such as local connection, regularity, and good nite word-length behavior, but can't be pipelined to ner levels (such as bit or multi-bit levels) due to the presence of feedback loops. In this paper, a pipelining method for the cordic based IIR digital lters is proposed using the constrained lter design methods a...

The numerical controlled oscillator has wide application in radar, digital receiver, and software radio system. Firstly, this paper introduces the traditional CORDIC algorithm. Then in order to improve computing speed and save resources, this paper proposes a kind of hybrid CORDIC algorithm based on phase rotation estimation applied in numerical controlled oscillator (NCO). Through estimating t...

CORDIC algorithms have long been used in digital signal processing for calculating trigonometric, hyperbolic, logarithmic and other transcendental functions. The algorithm requires only shift and add operations and this simplicity encourages its implementation in hardware. Traditional CORDIC architectures have focused on radix-2 implementations because of their higher accuracy. However these ar...

In order to approximate transandental functions, several algorithms were proposed. Historically, polynomial interpolation, infinite series, · · · and other +,×,− and / based algorithms were studied for this purpose. The CORDIC (COordinate Rotation DIgital Computer) introduced by Jack E. Volder in 1959, and generalized by J. S. Walther a few years later, is a hardware based algorithm for the app...

CORDIC algorithm is used for calculation of complex functions in signal processing and wireless communication applications. These functions are the combination of sine and cosine terms that are linked to complex analysis. Pipeline architectures are used in CORDIC algorithm to reduce the critical path, increases the clock speed. An angle recoding method is used to reduce the latency and obtain t...

In this paper, the matrix lookahead transformation is developed to achieve ne-grain pipelining for Cordic based QRD-RLS adaptive ltering algorithm. Various implementation styles are proposed. They include pipelining, block processing, and incremental block processing. The proposed architectures can operate at arbitrarily high sample rates, and consist of only Givens and a few Gaussian rotations...

In this paper we propose a generic algorithm to calculate the rotation parameters of CORDIC angles required for the Discrete Cosine Transform algorithm (DCT). This leads us to increase the precision of calculation meeting any accuracy.Our contribution is to use this decomposition in CORDIC based DCT which is appropriate for domains which require high quality and top precision. We then propose a...

In this paper we give an overview of approximate CORDIC rotations and try to identify when they might be advantageous for various matrix algorithms and signal processing applications. With this respect we analyse the rotation angles occuring during the discussed algorithms. There are various properties of these rotation angles, which imply that approximate CORDIC rotations are advantageous. The...