Slide-Rule Functions Reference List

 

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Grammar and Imbedded Control

#define

Define constant for conditional #ifdef

#else

Else for conditional #ifdef/#ifndef

#endif

End statement for #ifdef or #ifndef

#ifdef

Conditional if (True) for compile

#ifndef

Conditional if (False) for compile

break

Break out of loop( for, do, while, switch)

case

Part of switch statement

char

Data type(8 bits) for ASCII strings definition

colSize

Returns column size

complex

Real and Imag. data type (64-bit floats)

const

Definition of read only constants

continue

Continue with a loop (for, do, while)

default

Part of switch statement

dialog

Generic Dialog Procedure

do while

The do while statement

double

Real data type (64-bit float)

echof

Same as printf, but to display monitor also

else

False part of if statement

exit

Terminate shell with message

float

Real data type (64-bit float)

for

First part of for loop

if

Conditional statement

int

Fixed data type (32-bit, signed)

long

Fixed data type (32-bit, signed)

matcmplx

Matrix of complex data types

matrix

Matrix of double data types

pause

Output message to display monitor and pause

printf

printf statement (as standard in C)

Print

Print of Matrix/Vector (Real/Complex arrays)

return

Return from user subroutine

rowSize

Returns row size

Sizeof

Returns size of array in type elements

sprintf

sprintf statement (as standard in C)

switch

First part of complex multiple if/else

veccmplx

Vector of complex data types

vector

Vector of double data types

void

The void return type

while

The while statement

 

 

Mathematical  Functions

abs

Absolute value

acos

Inverse cosine

acosh

Inverse hyperbolic cosine

arg

Angle of

asin

Inverse sine

asinh

Inverse hyperbolic sine

atan

Inverse tangent

atanh

Inverse hyperbolic tangent

atan2

Inverse tangent y, x

ceil

Rounds up to nearest integer

cmplx

Complex number of

conj

Complex conjugate

cos

Cosine

cosh

Hyperbolic cosine

exp

Exponential

expM

Matrix Exponential

fabs

Absolute value (for real argument)

floor

Rounds down to nearest integer

fmod

Modulo function

imag

Imaginary part of complex number

ln

Natural logarithm

log

Natural logarithm

log10

Logarithm base 10

log2

Logarithm base 2

max

Maximum function

min

Minimum function

norm

Square of

polar

Complex of magnitude and angle

pow

Power x of y

real

Real part of complex num.

round

Round to nearest integer

sigNum

The Signum function

sin

Sine

sinh

Hyperbolic sine

sqrt

Square root

tan

Tangent

tanh

Hyperbolic tangent

 

 

Special Mathematical Functions

besselIn

Bessel function In(x), n = 0,1,2...

besselJn

Bessel function Jn(x), n = 0,1,2,...

besselKn

Bessel function Kn(x), n = 0,1,2,...

besselYn

Bessel function Yn(x), n = 0,1,2,...

beta

Beta function B(z,w)

betaI

Incomplete beta function Ix(a,b)

cosint

Cosine Integral function

ellipticC

Elliptic Integral of 1st kind

ellipticJ

Jacobian Elliptic function

ellipticS

Elliptic Integral of 2nd kind

erf

Error function erf(x)

erfc

Complementary of error function erf(x)

expi

Exponental Integral Ei(x)

expn

Exponental Integral En(x)

factorial

Factorial function

gamma

Gamma function

gammaln

Natural log of gamma(x)

gammaP

Incomplete gamma function P(a,x)

gammaQ

Incomplete gamma function Q(a,x)

sinint

Sine Integral function

 

 

Random Numbers and Distributions

chisqrPDF

Chi-squared distribution (Central)

chisqrProb

Chi-squared probabilities (Central)

chisqr2PDF

Chi-squared distribution (Non-central)

chisqr2Prob

Chi-squared probabilities (Non-central)

F PDF

F Distribution  (Central)

F_Prob

F probabilities  (Central)

normal

Gaussian noise generation (vector/matrix)

normalPDF

Normal(Gaussian)  Distribution

normalProb

Probabilities from a Gaussian PDF

rand

Uniform Random number generators

randn

Gaussian number

rayleighPDF

Rayleigh Distribution of a random variable

rayleighProb

Rayleigh probabilities

ricianPDF

Rician Distribution of a random variable

ricianProb

Rician probabilities

srand

Initialize randf with seed

uniform

White noise generation (vector/matrix)

 

 

Matrix/Vector Operations

cod

Complete Orthogonal Decomposition

chol

Cholesky factorization

det

Matrix Determinant

eig

Matrix Eigenvalues/Eigenvectors

expM

Matrix Exponential

hess

Hessenburg Decomposition

inv

Matrix Inverse

kron

Calculates the Kronecker tensor product

kurt

Calculates kurtosis of vector

linequ

Matrix linear equation solver

linequOD

Matrix equation solver (over determined)

lsq

Least squares fit

lu

Matrix LU factorization

'

The matrix transpose operator

.^

The matrix/vector power operator

*

The Matrix Product operator

norms

Matrix/Vector  norms

pinv

Moore-Penrose pseudoinverse of a matrix

qr

QR Decomposition

rank

Rank of a Matrix

rcond

Matrix reciprocal condition number

rref

Reduced row echelon form

schur

Schur Matrix Decomposition

skew

Calculates skewness of vector

svd

Singular value Decomposition

toeplitz

Generates a Toeplitz matrix

 

 

Matrix/Vector Auxiliary Functions

casting ops

Convert matrix/vector to vector/matrix

cmplx

Create complex matrix or complex vector

colLen

Column size of a matrix (length)

colSize

Column dimension of a matrix

convToA

Matrix/Vector elements to array elements

copyV

Copy a portion of a vector to a new vector

diag

Diagonal of Matrix and Diagonal Matrices

dnSamp

Down sample a matrix or vector

expM

Matrix Exponential

expand

Matrix/Vector  expansion

even

Even function

eye

Square matrix to singular type

flip

Reverse elements function

matGen

Generate Matrix Sequence

matLin

Generate Matrix Sequence

odd

Odd function

ones

Generate 1ís matrix or vector

Print

Matrix/Vector print

reduce

Matrix reduction

reshape

Matrix shaping

resizeM

Matrix resize

resizeV

Vector resize

rotM

Matrix rotation

rowLen

Row size of a matrix (length)

rowSize

Row dimension of a matrix

sigNum

The Signum function for real matrices/vectors

sort

Sort a vector in ascending order

sortRows

Sort matrix rows on column specification

trace

Sum of diagonal elements of a matrix

triL

Lower triangular part of matrix

triU

Upper triangular part of matrix

upSamp

Up sample a matrix or vector

vecGen

Generate Vector Sequence

vecLin

Generate Vector Sequence

vecLog

Generate Vector Logarithmic Sequence

zero

Zeros elements of matrix or vector

zeros

Generate zero matrix or vector

zeros3D

Generate 3D zero matrix or vector

 

 

Special Matrices

compan

Companion matrix

 

gallery

Wilson/Rosser matrices

 

hadamard

Hadamard matrix

 

hankel

Hankel matrix

 

hilb

Hilbert matrix

 

magic

Magic matrix

 

pascal

Pascal matrix

 

toeplitz

Toeplitz matrix

 

vander

Vandermonde matrix

 

wilkinson

Wilkinson test matrix

 

 

 

 

 

 

 

Digital Filters

butterF

Butterworth Filter Design

chebyIF

Chebyshev I Filter Design

chebyIIF

Chebyshev II Filter Design

elliptF

Elliptic Filter Design

filtadj

Filter section gain adjustment

filter

Vector filter function in direct form

filterD

General filter function

firpm

Parks McCellan FIR filter Design with vectors

firwin

FIR Windowed Filter Design with vectors

firwindF

FIR Windowed Filter Design

gainF

Complex gain over range

groupD

Group Delay over range

hogSym

Hogenauer Filter Design

iifixedR

IIR Fixed Point Coefficients Response

impulseF

Impulse Response

interpFIR

Interpolated multi-FIR Filter design

MaxFlat

MaxFlat FIR Symmetric Filter design

meteorFIR

FIR constraint based design

ParksMc

Parks McCellan FIR Filter Design

phaseF

Complex phase over range

SavGov

Savitzky-Golay Smoothing Filter

stepF

Step Response

unwrap

Phase unwrap

 

 

Spectral Analysis

blackharrisW

4-term Blackman harris window

blackWin

Blackman window

chebyWin

Dolph-Chebyshev window

chirpZ

Chirp Z transform

dct

Discrete Cosine Transform (DCT)

dct2

Two-dimensional DCT

dft

Discrete Fourier Transform (DFT)

fft

Fast Fourier Transform(FFT)

fft2

Two-dimensional FFT

fftshift

Shift zero freq. of FFT to center of spectrum

gaussianWin

Gaussian window

hammWin

Hamming window

hannWin

Hanning window

hilbert

Hilbert transform

idct

Inverse Discrete Cosine Transform (DCT)

idct2

Inverse two-dimensional DCT

idft

Inverse Discrete Fourier Transform (IDFT)

ifft

Inverse FFT

ifft2

Inverse of two-dimensional FFT

kaiserWin

Kaiser window

normal

Gaussian noise generation

rand

Random number generators

taprectWin

Tappered rectangular window

triangWin

Triangular window

uniform

White noise generation

 

 

Correlation/Convolution

autocor

The Auto Correlation function

autocorMat

Generates the Autocorrelation matrix

autocovar

The Auto Covariance function

autocovarMat

Generates the Autocovariance matrix

cepstralC

LPC coefficients to Cepstral Coefficients

conv

The Convolve function

convMat

Computes the convolution matrix

corCoef

Calculates the correlation coefficient

crosscor

The Cross Correlation function

crosscovar

The Cross Covaraince function

lar2rc

Log area ratio;s to reflection coefficients

LevDurbin

The Levinson-Durbin Recursion

LevRecur

The Levinson Recursion

lineSpec

Line Spectral Pairs from LPC coefficients

rc2lar

Reflection coefficients to Log Area Ratios

 

 

Signal Processing Toolbox

bilinear

Bilinear transform

butterAF

Butterworth analog filter design

butterAP

Butterworth analog prototype

butterORD

Butterworth filter order calculation

cas2dir

Second-order cascade to direct form

casfilter

Second-order cascade filter

cheby1AF

Chebyshev-I analog filter design

chebyIAP

Chebyshev I analog prototype

chebyIDF

Chebyshev I digital filter design

cheby1ORD

Chebyshev-I filter order calculation

cheby2AF

Chebyshev II analog filter design

cheby2AP

Chebyshev II analog prototype

Cheby2DF

Chebyshev II digital filter design

cheby2ORD

Chebyshev-II filter order calculation

circonv

Circular convolution

circonvt

Circular convolution (time-domain)

cirFold

Circular folding of a sequence

cirshift

Circular shift of samples in time domain

dfs

Compute discrete Fourier Series Coefficients

dir2cas

Direct form of filter to second-order sections

dir2fs

Direct form of filter to frequency form

dir2par

Direct form of filter to parallel 2nd order

ellipticAF

Elliptic analog filter design

ellipticAP

Elliptic analog prototype

ellipticDF

Elliptic digital filter design

ellipticORD

Elliptic filter order calculation

evenodd

Signal decomposition to even/odd parts

freqS

Frequency response of analog filters

freqZ

Frequency response of digital filters

FIR2Lat

Direct form of FIR filter to all-zero Lattice form

FIRIIR2Lat  

Direct form of all pole/zero IIR filter to Lattice/Latter form

groupDelay

Group delay calculation

IIR2Lat

Direct form of IIR filter to lattice IIR form

impseq

Impulse sequence generation

imp_invr

Impulse invariance transformation

Lat2FIR 

All-zero Lattice form to FIR direct form conversion

Lat2IIR

Lattice IIR form to IIR direct form conversion

Lat2FIRIIR

Lattice/Ladder form to pole/zero direct form conversion

LatFiltIIR

Lattice/Ladder module to filter input sequence

LatFilt

All-zero Lattice filter

ovrlpsav

Overlap-save method of block convolution

par2dir

Parallel 2nd order form to direct filter form

residueZ

Z-transform partial fraction expansion

sdir2cas

Direct form of filter to 2nd order for s-domain

sigadd

Signal addition

sigmult

Signal multiplication

sigshift

Signal shift

sinc

Sinc signal generation

STrans

Prototype frequency band transformation

Smapping

Analog frequency band transformation

stepseq

Step sequence generation

Zmapping

Digital frequency band transformation

 

 

Statistical and Adaptive Signal Processing Toolbox

AllPoleCor 

All Pole Signal Model using the Auto-Correlation Method

AllPoleCovar

All Pole Signal Model using the  Covariance Method

AllPoleModCovar

All Pole Signal Model using the Modified Covariance Method

apa

Affine Projection Algorithm. for an adaptive FIR filter

BTpds 

Computes the Blackman-Tukey Periodogram

cma1 

Constant Modulus Algorithm (CMA1-2) for an adaptive FIR filter

cma2

Constant Modulus Algorithm (CMA2-2) for an adaptive FIR filter

convMat

Computes the convolution matrix

covarMat

Computes the covariance matrix

Covarpds

The Covariance Method for Power Density Spectrum

EigVecpds 

The Eigenvector Method for Power Density Spectrum

fastAlg 

The Fast Array algorithm for an adaptive FIR filter

fbnlms

The fast Block (FFT) NLMS algorithm for an adaptive FIR filter

harrisPDS

Computes a Periodogram using the Window Overlap Method

LevDurbin

The Levinson-Durbin Recursion

LevRecur

The Levinson Recursion

lms

The LMS Algorithm for an adaptive FIR filter

LSIfilter

FIR Least Squares Inverse Filter

MUSICpds

The MUSIC Algorithm for Power Density Spectrum

MinNormpds

The Minimum Norm Algorithm for Power Density Spectrum

ModCovarpds

The Modified Covariance Method for Power Density Spectrum

nlms

The Normalized LMS Algorithm for an adaptive FIR filter

pnlms

The NLMS Alg. with power normalization

rca

The Reduced-Constellation Algorithm (RCA) for an adaptive FIR filter

rls

The Exponentially Weighted RLS Algorithm for an adaptive FIR filter

selms

The Sign-Error LMS Algorithm for an adaptive FIR filter

steepestD

The Steepest Descent Algorithm for an adaptive FIR filter

Welchpds

Computes the Modified or Welch Periodogram

wienerF

The Wiener FIR filter

YuleWalkerpds

Computes the Yule-Walker Power Density Spectrum

 

 

Control Engineering Toolbox

ackerMan

State feedback gain matrix calculation

bodeSS

Bode plot data from State-space

bodeTF

Bode plot data from transfer function

feedbackTF

Feedback transfer functions connection

gainTF

Gain to force step function to zero dB

gridRL

Plot Root-Locus grid

impulseSS

Impulse response from State-space

impulseTF

Impulse response from transfer function

INITsysSS

State-space response to initial condition

LTIsysSS

State-space response from arbitrary input

LTIsysTF

Transfer func.  response from arbitrary input

margin

Gain and Phase margins from Bode plot

NicholsChart

Plot of Nichols Chart

NicholsTF

Nyquist locus plotted on Nichols Chart

nyquistPolar

Nyquist plot data for Polar Plot

nyquistSS

Nyquist plot data from state-space

nyquistTF

Nyquist plot data from transfer function

parallelTF

Parallel transfer functions connection

PZtoSS

Pole-zero to state-space

PZtoTF

Pole-zero to transfer function

residueS

Partial fraction expansion from transfer func.

rlocusSS

Root-locus plot from state-space

rlocusTF

Root-locus plot from transfer function

RootLocusEnable

Enable root-locus cursor read-out

secondOrdSys

Computes a second order transfer function

seriesTF

Series transfer functions connection

SStoPZ

State-space to pole-zero

SStoTF

State-space to transfer function

stepSS

Step response from state-space

stepTF

Step response from transfer function

TFtoPZ

Transfer function to pole-zero

TFtoSS

Transfer function to state-space

 

 

Polynomials

chebyNodes

Chebyshev nodes over interval

chebypol     

Chebyshev interpolating polynomial

lagrange

Lagrange interpolating polynomial

poly

Polynomial coefficients from its roots

polyC

Characteristic polynomial of square matrix

polyD

Polynomial derivative

polyDiv

Polynomial division

polyFit

Polynomial curve fit

polyM

Polynomial multiplication for vector input

polyR

Roots of polynomial for vector input

polyV

Value of polynomial for vector input

proots

Roots of polynomial

 

 

Curve Fitting

interpL

Data interpolation with Lagrange approximation

interpS

Data interpolation using natural cubic splines

lsqLine

Least Squares Fit by data Linearization

polyFit

Polynomial curve fit

spline

Cubic Spline Interpolation

 

 

Statistics

delTime

Measures execution times to within 1 msec.

cumsum

Cumulative sum

cumprod

Cumulative product

max

Maximum value of array elements

maxI

Max. value index of array elements

mean

Mean value of array elements

min

Minimum value of array elements

minI

Min. value index of array elements

sum

Summation of array elements

var

Variance of array elements

 

 

Differential Equations and Numerical Integration

abmODE            

Adams-Bashforth-Moultin Method

hamODE

Hamming Method

msmODE

Milne-Simpson Method

rkf45

Runge-Kutta-Fehlberg Method

sysODE

System of Equations ODE solver, 4th order Runge-Kutta

sysODE2

System of Equations ODE solver,  5th order Runge-Kutta

lsmBVP

Linear Shooting Method B.V.P.

rombI

Romberg Integration

simpI

Integration by Simpson's rule

diffExt

Differentiation of F(x)

diffExt2

Partial differentiation of F(x,y)

 

 

Non-Linear Numerical Methods

fmin

Local minimum of function f(x)

fmins

Local minimum of function f(x,y,z, ... )

 

 

File I/O and String Functions

atof

Convert ASCII string to floating point value

atoi

Convert ASCII string to integer (long) value

close

Close file

coordTextFile

Read Coordinate Text File format to matrix

getc

Get first ASCII character from ASCII buffer

open

Open file

read

Read file to array(int, float, complex)

readM

Read file to matrix type

readV

Read file to vector type

readExcel

Read Excel data to matrix

readLine

Read ASCII line to character buffer

rewind

Rewind file

skip

Skip data elements in file

skipLines

Skip lines in ASCII opened file

sprintf

sprintf statement (as standard in C)

strcat

String catenation

strchr

Search string for a character

strcpy

String copy function

strcmp

String compare function

strlen

String length function

strstr

String sub-compare

write

Write data to file

 

 

Plotting Routines

arrowP

Plot arrow, x/y plot

aspectR

Aspect ratio for x/y plots

axisS

Axis style, x/y plot

camloc3D

Camera location - 3D plot

closePlot

Close plot

color3D

Set color value in palette

colorB

Background color

colorBar

Color palette selection - 3D plot

colorT

Text color, x/y plot

confil3D

Specifications for contour fill mode

conlab3D

Options for 3D contour labels

consurf3D

3D contour and/or surface plot

contourP

Contour x/y plot with color mapping

contour

A line Contour x/y plot

grid

Plot grid lines, x/y plot

gridH

Plot horizontal grid lines, x/y plot

histoP

Histogram plot

linethick3C

Line thickness for 3D line plot (plot3C)

movieP

Set movie mode for multi x-y plots

openPlot

Open plot

opts3D

Options for 3D plot

pause

Pause for keyboard or mouse input

pCRT

Output plot to the display monitor

penS

Pen style, x/y plot

ploglog

Plot x and y array on log scale

plogxy

Plot x array on log scale, y linear

plot3C

Plot x/y/z curve(s) in 3D

plotx

Plot x array

plotxy

Plot x and y arrays

ploty

Plot y array

pminmax

Set min/max for x/y axes

pminmax3D

Set min/max for x/y/z axes

polarP

Polar plot

polarPdb

Polar plot - dB

polezeroP

Pole-Zero plot

pPrint

Output plot to printer

ptext

Plot text string, x/y plot at x/y point

Ptext3C

Plot text string, x/y/z 3D plot (plot3C)

Ptics

Force selection of number of tic marks

pxlogy

Plot y array on log scale, x linear

stripsP

Plot y array as strip chart

surfil3D

Specifications for surface fill mode

surwir3D

Specifications for wire mesh mode

Title

Plot Title Label, x/y plot

vectorP

Vector gradient plot

waterFallP

3D waterfall plot

xLabel

Plot x-label

yLabel

Plot y-label

zLabel

Plot z-label