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 Postgraduate Course: Time Signal Analysis and Inverse Theory (PGGE11146)
Course Outline
| School | School of Geosciences | College | College of Science and Engineering |  
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) | Availability | Available to all students |  
| SCQF Credits | 10 | ECTS Credits | 5 |  
 
| Summary | The Fourier series. Continuous and discrete Fourier transforms. Sampling theorems. The convulution theorem.  Auto-correlation and cross correlation. filtering and deconvolution.  Forward modelling, parameter estimation and inversion. Least squares solution; over-and under-determined problems. The co-variance matrix. Linearisation of non-linear problems. |  
| Course description | Not entered |  
Entry Requirements (not applicable to Visiting Students)
| Pre-requisites | Students MUST have passed: 
 | Co-requisites |  |  
| Prohibited Combinations |  | Other requirements | None |  
| Additional Costs | None |  
Information for Visiting Students 
| Pre-requisites | None |  
Course Delivery Information
| Not being delivered |  
Learning Outcomes 
| On complete of the course, the students should achieve the following learning outcomes: 
 A familiarity of the mathematical operations for spectral analysis, filtering, and geophysics inversion problems
 A familiarity of the applications of the above to the analysis of seismic and potential field data in applied geophysics.
 
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Reading List 
| Time series analysis and inverse theory for Geophysicists by David Gubbins |  
Additional Information
| Graduate Attributes and Skills | Not entered |  
| Keywords | Not entered |  
Contacts 
| Course organiser | Dr Hugh Pumphrey Tel: (0131 6)50 6026
 Email: h.c.pumphrey@ed.ac.uk
 | Course secretary | Mrs Christine Wilson Tel: (0131 6)50 4866
 Email: Christine.Wilson@ed.ac.uk
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