PHYSICS 7007 - Fourier Techniques & Applications
North Terrace Campus - Semester 1 - 2023
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General Course Information
Course Details
Course Code PHYSICS 7007 Course Fourier Techniques & Applications Coordinating Unit School of Physical Sciences Term Semester 1 Level Postgraduate Coursework Location/s North Terrace Campus Units 3 Contact Up to 2 hours per week Available for Study Abroad and Exchange Y Assessment Examination, assignments Course Staff
Course Coordinator: Professor Gavin Rowell
Course Timetable
The full timetable of all activities for this course can be accessed from .
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Learning Outcomes
Course Learning Outcomes
1. Have an understanding of how to derive FT analytically and generate new FTs using various rules.
2. Develop confidence in solving problems in the appropriate domain, including numerical solutions FT of data and applications to power spectra.
3. Understand how to be able to apply FT to analysis of linear systems.
4. Understand the relationship between how the instrument response function limits resolution and its relationship to convolution.
5. Understand the relationship between the FTs and wave phenomena such as diffraction and scattering from three dimensional objectsUniversity Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University Graduate Attribute Course Learning Outcome(s) Attribute 1: Deep discipline knowledge and intellectual breadth
Graduates have comprehensive knowledge and understanding of their subject area, the ability to engage with different traditions of thought, and the ability to apply their knowledge in practice including in multi-disciplinary or multi-professional contexts.
1,3,4,5 Attribute 2: Creative and critical thinking, and problem solving
Graduates are effective problems-solvers, able to apply critical, creative and evidence-based thinking to conceive innovative responses to future challenges.
1-5 Attribute 4: Professionalism and leadership readiness
Graduates engage in professional behaviour and have the potential to be entrepreneurial and take leadership roles in their chosen occupations or careers and communities.
1-5 Attribute 8: Self-awareness and emotional intelligence
Graduates are self-aware and reflective; they are flexible and resilient and have the capacity to accept and give constructive feedback; they act with integrity and take responsibility for their actions.
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Learning Resources
Recommended Resources
Bracewell, R. N., The Fourier Transform and its Applications, McGraw-Hill
Champeny, D. C. Fourier Transforms and their Physical Applications, AP
James, J. F., “A Students Guide to Fourier Transforms”, CUP -
Learning & Teaching Activities
Learning & Teaching Modes
The method of delivery depends on modules selected by students.Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
A student enrolled in a 3 unit course, such as this, should expect to spend, on average 12 hours per week on the studies required. This includes both the formal contact time required to the course (e.g., lectures and practicals), as well as non-contact time (e.g., reading and revision).Learning Activities Summary
One-dimensional FT and applications, including convolution and wavelets
- Introduction to Fourier transforms of real variables, symmetry relations Application of Fourier Transforms to linear systems with emphasis on circuits, including transfer function and the impulse response
- Convolution in physical systems, including the Instrument Response
- The Convolution Theorem and its use in digital filtering and correction for limited instrument response
- Application of Modulation Rule and Shift Theorem in physical systems
- Application of Fourier theory in pulse amplifiers, including Comb Filters and signal averaging.
- The Sampling Theorem and Aliasing
- Discrete Fourier transforms and the FFT
- Power spectra
- Auto and Cross- correlation functions with discrete and continuous variables
- The Wiener-Khintchine Theorem
- Fourier Transform spectroscopy
Two-dimensional FT and applications, including diffraction and antennas
- Extension to complex functions
- processing of images
- Application of W-K theorem to diffraction, including angular spectra and aperture synthesis in radio astronomy
- Applications of 2-D FT to antennas including broadside arrays and formation of grating lobes
Three-dimensional FT and applications to weak scattering
- Three-D Fourier transforms
- Wave scattering in 3-D (Born approximation), Ewald sphere and reciprocal space.
- Applications to radiowave scattering from the atmosphere
- Wavelets and their use. -
Assessment
The University's policy on Assessment for Coursework Programs is based on the following four principles:
- Assessment must encourage and reinforce learning.
- Assessment must enable robust and fair judgements about student performance.
- Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
- Assessment must maintain academic standards.
Assessment Summary
Written Examination 70%
Assignments 30%Assessment Detail
Assignments
The standard assessment consists of 3 assignments. This may be varied by negotiation with students at the start of the semester.
Final exam
One 3 hour exam is used to assess the understanding of and ability to use the material.Submission
If an extension is not applied for, or not granted then a penalty for late submission will apply. A penalty of 10% of the value of the assignment for each calendar day that is late (i.e. weekends count as 2 days), up to a maximum of 50% of the available marks will be applied. This means that an assignment that is 5 days or more late without an approved extension can only receive a maximum of 50% of the mark.Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M10 (Coursework Mark Scheme) Grade Mark Description FNS Fail No Submission F 1-49 Fail P 50-64 Pass C 65-74 Credit D 75-84 Distinction HD 85-100 High Distinction CN Continuing NFE No Formal Examination RP Result Pending Further details of the grades/results can be obtained from Examinations.
Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.
Final results for this course will be made available through .
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Student Feedback
The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.
SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.
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Student Support
- Academic Integrity for Students
- Academic Support with Maths
- Academic Support with writing and study skills
- Careers Services
- Library Services for Students
- LinkedIn Learning
- Student Life Counselling Support - Personal counselling for issues affecting study
- Students with a Disability - Alternative academic arrangements
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Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
- Academic Credit Arrangements Policy
- Academic Integrity Policy
- Academic Progress by Coursework Students Policy
- Assessment for Coursework Programs Policy
- Copyright Compliance Policy
- Coursework Academic Programs Policy
- Intellectual Property Policy
- IT Acceptable Use and Security Policy
- Modified Arrangements for Coursework Assessment Policy
- Reasonable Adjustments to Learning, Teaching & Assessment for Students with a Disability Policy
- Student Experience of Learning and Teaching Policy
- Student Grievance Resolution Process
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Fraud Awareness
Students are reminded that in order to maintain the academic integrity of all programs and courses, the university has a zero-tolerance approach to students offering money or significant value goods or services to any staff member who is involved in their teaching or assessment. Students offering lecturers or tutors or professional staff anything more than a small token of appreciation is totally unacceptable, in any circumstances. Staff members are obliged to report all such incidents to their supervisor/manager, who will refer them for action under the university's student鈥檚 disciplinary procedures.
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