Elements and Performance Criteria

RANGE STATEMENT
The range statement relates to the unit of competency as a whole. It allows for different work environments and situations that may affect performance. Bold italicised wording, if used in the performance criteria, is detailed below. Essential operating conditions that may be present with training and assessment (depending on the work situation, needs of the candidate, accessibility of the item, and local industry and regional contexts) may also be included.
Functions may include:
cos(x)
exponential(x)
ln(1+x)
sin(x).
Complex trigonometric ratios refer to:
analysing the elements of a vector 'term by term' with the operations of division, multiplication and exponentiation
analysing the series expansion of functions commonly used in telecommunications engineering problems
applying series expansion using Taylor and Maclaurins forms to simple formulae:
polynomials
exponentials
logarithmic functions
trigonometric functions
calculating a best fit polynomial of up to degree five for a set of at least ten data points using a least square method in software
calculating a line of best fit and plot the result given a set of at least ten data points using a least square method in software
complex trigonometric ratios:
cosh functions
sinh functions
tanh functions
interpolating data for a curve of best fit
performing calculations with a simulation package.
Matrices and determinants refer to:
analysing row and column vectors as a special case of a general matrix
applying symbolic software to perform standard calculations on a matrix
calculating the co-factor of a determinant given the desired row and column
calculating the eigen values and eigen vectors of a square matrix of three dimensions
calculating the numerical and symbolic addition and/or subtraction of commensurable matrices
calculating the numerical and symbolic inner product of commensurable row and column vectors
calculating the numerical and symbolic product of a matrix by a scalar
calculating the numerical product of a pair of commensurable matrices
calculating the numerical value for the inverse of a square matrix
converting a set of linear equations to Matrix form.
Standard calculations may include:
determinant of a square matrix with up to 4x4 dimension
eigen values and eigen vectors of a square matrix with up to 4x4 dimension
solution of up to four simultaneous equations
symbolic product of a pair of commensurable matrices with outer dimensions not exceeding four.
Trigonometric functions include:
cos
cosh
sin
sinh
tan
tanh.
Operations on complex numbers refer to:
analysing the polar and rectangular forms of complex numbers
calculating complex variables with basic arithmetic operations
calculating the complex roots of polynomials with real coefficients up to third order
calculating the results of operations on complex numbers using complex forms of trigonometric functions
deriving the results for the complex operations of square root and multiple roots for up to sixth order
operations on complex numbers:
multiple roots
powers
square roots
solving an engineering problem using euler equation.
Integral and differential calculus refer to:

calculating derivatives and integrals of a single variable using standard forms and with symbolic software
calculating maximum and minimum values of a differential function
calculating partial derivatives using standard forms of differentiation
calculating the numerical differential of an equation from the sample interval
calculating the numerical integration of an equation given the sample interval
differentiating implicitly defined functions by applying the chain rule and software solution
integrating and evaluating double integrals that use standard forms and substitution methods
integrating equations by applying integration methods.
Ordinary differential equations (ODE) refer to:
solving first order ODE using standard methods
solving first and second order ODE equations using various ODE solutions methods:
applying software
numerical plot with constant coefficients
numerical solutions
trial exponential solutions determining the unknown constants.
Laplace transforms refer to:
calculating Laplace transforms of relevant equations using standard forms:
exponential equations
telecommunications related equations with polynomials up to degree two
trigonometric equations
calculating partial fraction expansion of linear equations of one variable with constant coefficients of second order degree or less
calculating the inverse Laplace transform by arrangement, into standard forms
solving a telecommunications related first order ODE using Laplace transforms numerically and with symbolic software.
Algorithmic control structures
may include:
multi-way selection (switch)
post-test repetition (repeat until)
pre-test repetition (Do While)
program fragments that use algorithmic control structures
program to output calculated results
program to request data by command line prompting
sequence
solution expressed in an acceptable algorithmic form
two-way selection (IF then Else)
well structured program to obtain the solution to a given engineering problem.
Simulated calculations may include:
manipulation of diary files
plotting the results of calculations with equations:
exponential
logarithmic
trigonometric functions
script to repeat previous calculations
simplification and expansion of symbolic equations and arithmetical expressions
symbolic variables, constants and equations
variable browsers window and command history screen
variables to store appropriate data for problem solving.
Engineering solutions may include:
antenna performance and propagation evaluation
capacity predictions
data analysis
digital signal processing
forecasting
queuing systems
radio networks
traffic engineering.
Simple control system is based on:
delay elements
feedback loop.
Queuing system includes:
fixed arrival times
fixed processing delay
single queue
single server.
Stochastic system includes:
random arrival times
random processing delay
single queue
single server.

EVIDENCE GUIDE
The evidence guide provides advice on assessment and must be read in conjunction with the performance criteria, required skills and knowledge, range statement and the Assessment Guidelines for the Training Package.
Overview of assessment

Critical aspects for assessment and evidence required to demonstrate competency in this unit
Evidence of the ability to:
analyse and manipulate functions using symbolic and numerical software, including the operations of entering and manipulating polynomials in suitable software and then substitution of values and graphing
analyse and manipulate matrices and determinants, numerically with and without symbolic and numerical software
design and debug programs using algorithmic control structures and output the results to the screen, a graph and a file
analyse and manipulate complex numbers numerically and with symbolic software
determine and manipulate equations using the advanced calculus operations of differentiation and integration numerically and with symbolic software
determine and manipulate equations of the type called ODE met in telecommunications engineering applications numerically and with symbolic software
determine and manipulate Laplace transforms met in telecommunications engineering applications numerically and with symbolic software
design a simulation control system and simulate queues using software.
Context of and specific resources for assessment
Assessment must ensure:
networked computers
simulation software
relevant documentation.
Method of assessment
A range of assessment methods should be used to assess practical skills and knowledge. The following examples are appropriate for this unit:
oral questioning or written questioning to assess required knowledge
direct observation of the candidate carrying out mathematical simulations
review of simulation control system prepared by the candidate.
Guidance information for assessment
Holistic assessment with other units relevant to the industry sector, workplaces and job role is recommended, for example:
ICTRFN8180A Analyse a mobile network system
ICTRFN8181A Analyse a satellite communications system
ICTTEN8194A Analyse a telecommunications switching network
ICTTEN8195A Evaluate and apply network security
ICTTEN8196A Evaluate and apply digital signal processing to communications system.

Aboriginal people and other people from a non-English speaking background may have second language issues.

Access must be provided to appropriate learning and assessment support when required.

Assessment processes and techniques must be culturally appropriate, and appropriate to the oral communication skill level, and language and literacy capacity of the candidate and the work being performed.

In all cases where practical assessment is used it will be combined with targeted questioning to assess required knowledge. Questioning techniques should not require language, literacy and numeracy skills beyond those required in this unit of competency.

Where applicable, physical resources should include equipment modified for people with special needs.