CORDIC rotations are applied in parallel to zero out the second and fourth ..... Householder reflection into a proper rotation, with de- terminant l . Thus, our new ...
Santiago de Compostela. 15706 Santiago de Compostela. SPAIN. Mailing address: Emilio L. Zapata. Dept. Arquitectura de Computadores. University of Málaga.
vol. 19, no. 2, pp. 127-147, July 1998. University of Malaga. Department of Computer Architecture. C. Tecnologico • PO Box 4114 • E-29080 Malaga • Spain ...
Electronics & Electrical Engineering, Lovely Professional University,. Jalandhar, Punjab, India, Email: - [email protected]. â¢. Lavish Kansal is currently ...
1972, the HP-41C in year1980. He told how the unified CORDIC algorithm i.e. combining rotations in the circular, hyperbolic, and linear coordinate systems and.
shows the input vector Xin and Yin, while Xout and. Youtare the outputs ... Yout=Yin.cosθ +Xin.sinθ (2) .... [8] Terence K. Rodrigues and Earl E. Swartzlander, Jr.,.
Department of Computer Science, AGH-UST, Kraków, Poland, ... Fuzzy Q-Learning algorithm proposed by Glorennec and Jouffe [2] uses reinforcement learning ...
Zaproponowano także nową procedurę wyboru reguł dla polepszenia prędkości działania w systemach z bezwładnością. Słowa kluczowe: modele rozmyte, ...
introduced in 1956 by Jack Volder as a highly efficient, low-complexity, and robust ... Andraka. R. ( 1998). The basic block diagram of CORDIC processor is ...
Index Terms-CORDIC, angle recoding, rotation based computing, VLSI, arithmetic unit, backward angle ..... [x(O)y(O)f by 180-degrees by simply changing the.
The original work was credited to Jack Volder [3]. Extensions to ...... R. J. Andraka, (1996) âBuilding a high performance bit serial processor in an FPGAâ, Proc. of.
Index Terms : Double Step, Branching CORDIC, Constant Scale Factor, Redundant Signed-Digit ... For a fairly detailed list of CORDIC related references, tutorials, and simulation .... For the purpose of illustration, also assume that sign of Zi.
Nov 5, 2014 - 1Atmospheric Chemistry Division, National Center for Atmospheric Research, Boulder, CO, USA ... As described in a technical report available on the MOPITT ...... P. H., Neu, J., Orlando, J. J., Rasch, P. J., and Tyndall, G.
CORDIC For Dummies. CORDIC is a method of calculating a math function using
much simpler math operations in a loop called a Binary. Search.
Oct 9, 2017 - Website Refresh. Highlights. â«. What is changing? â¢. Site design of the public LPN website. â¢. Site
of other applications, since trigonometric functions play an important role in ..... We first verified the functional behavior of the redundant CORDIC algorithm.
to 8 dimensions of Quaternion CORDIC algorithms, offered by J.M. Delosme and S.F.. Hsiao. This leads to significantly reduced computations in contrast to 8-D ...
fully pipelined or serial. The functionality required for CORDIC includes arithmetic units. (X,Y,Z adder/subtractors), shift sequence parameters, Z- coefficient sets ...
MPLS is an integration of Layer 2 and Layer 3 technologies. By making
traditional Layer 2 features available to Layer 3, MPLS enables traffic
engineering. Thus ...
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Feb 16, 2017 - Bx,zAy â³ x,z â³ xAx â³ z,y â³ z where A(x, y) and B(x, y) are denoted Ax,y and Bx,y. Given a finite biquandle X = {x1,...,xn}, an X-bracket can be ...
low latency CORDIC, and discuss an application to adap- tive filtering (normalized ... Custom design of CORDIC units for individual applica- tions is a complex ...
Basics of CORDIC Goal Enhancement References. CORDIC - Basic Algorithm
and Enhancements. K.Sridharan, IIT Madras. February 25, 2010 ...
Basics of CORDIC Goal Enhancement References
CORDIC - Basic Algorithm and Enhancements K.Sridharan, IIT Madras
February 25, 2010
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
The CORDIC algorithm provides an iterative method of performing vector rotations by arbitrary angles using only shifts and adds. Vector rotation transform: For rotating in a Cartesian plane by angle φ. x 0 = x cos φ − y sin φ y 0 = y cos φ + x sin φ
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
The CORDIC algorithm provides an iterative method of performing vector rotations by arbitrary angles using only shifts and adds. Vector rotation transform: For rotating in a Cartesian plane by angle φ. x 0 = x cos φ − y sin φ y 0 = y cos φ + x sin φ
OR x 0 = cos φ[x − y tan φ] y 0 = cos φ[y + x tan φ]
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
If rotation angles are selected such that tan φ = ±2−i , then Xi+1 = Ki (Xi − Yi · di · 2−i ) Yi+1 = Ki (Yi + Xi · di · 2−i ) Zi+1 = Zi − di · tan−1 (2−i ) where Ki
= cos(tan−1 (2−i )) = √
1 1 + 2−2i
(1)
The scale factor Ki can be accumulated and the vector is scaled by Yp An = 1 + 2−2i n
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
Polar (R, θ) to Rectangular (X,Y) transformation:
+Y
Rotation by 65◦ θ = 65◦
+X
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
Polar (R, θ) to Rectangular (X,Y) transformation:
Initialize
+Y
X0 = R Y0 = 0 Z0 = θ +X
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
Polar (R, θ) to Rectangular (X,Y) transformation:
Rotate by tan−1 (20 ) = 45◦
+Y
X1 = X0 − Y0 Y1 = Y0 + X0 45◦
Z1 = Z0 − tan−1 (20 ) +X
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
Polar (R, θ) to Rectangular (X,Y) transformation:
Rotate by tan−1 (2−1 ) = 26.5◦ +Y 26.5◦
Y1 2 X1 = Y1 + 2 = Z1 − tan−1 (2−1 )
X2 = X1 − Y2 +X
Z2
Basics of CORDIC Goal Enhancement References
Example Conventional CORDIC architecture
Polar (R, θ) to Rectangular (X,Y) transformation:
Rotate by tan−1 (2−2 ) = 14◦
+Y 14◦
Y2 4 X2 = Y2 − 4 = Z2 + tan−1 (2−2 )
X3 = X2 + Y3 +X
Z3
Basics of CORDIC Goal Enhancement References
X0 −X0 X0 [M SB] mode
0 MUX 1 sel
Y0
Z0 [M SB]
sel
0 MUX 1 sel
register
1
+ −
mode
−Xi+1
+ barrel shifter
adder/ subtractor +/− sub
scalar
+ barrel shifter
Zi [M SB] 0 Yi [M SB] MUX
180
Z0
register
sel1
¯ reset 0 −180 1MUX sel
0 MUX 1 sel
Example Conventional CORDIC architecture
sel
adder/ subtractor +/− sub
scaler
Xi+1
Xout 0 MUX 1 sel
Yout
sel
subtractor 0 MUX 1 sel
|Z0 | < 90
comparator
0 MUX 1 sel
register counter
3
sel0 Basic CORDIC
mode
ROM
+ sub adder/ subtractor +/−
Zi+1 [M SB] 180 −180
sel 0 Zout MUX 1
Zi+1
sel 0 MUX 1
− subtractor +
Basics of CORDIC Goal Enhancement References
X0 −X0 X0 [M SB] mode
0 MUX 1 sel
Y0
Z0 [M SB]
sel
0 MUX 1 sel
register
1
+ −
mode
−Xi+1
+ barrel shifter
adder/ subtractor +/− sub
scalar
+ barrel shifter
Zi [M SB] 0 Yi [M SB] MUX
180
Z0
register
sel1
¯ reset 0 −180 1MUX sel
0 MUX 1 sel
Example Conventional CORDIC architecture
sel
adder/ subtractor +/− sub
scaler
Xi+1
Xout 0 MUX 1 sel
Yout
sel
subtractor 0 MUX 1 sel
|Z0 | < 90
comparator
0 MUX 1 sel
register counter
3
sel0 Basic CORDIC
mode
ROM
+ sub adder/ subtractor +/−
Zi+1 [M SB] 180 −180
sel 0 Zout MUX 1
Zi+1
sel 0 MUX 1
− subtractor +
Basics of CORDIC Goal Enhancement References
Bottlenecks for area
Reduce area consumption without affecting the performance in terms of accuracy and number of iterations.
