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## Signal and Image Synthesis: Alternating Projections Onto Convex Sets

*Robert J Marks II*

### in Handbook of Fourier Analysis & Its Applications

- Published in print:
- 2009
- Published Online:
- November 2020
- ISBN:
- 9780195335927
- eISBN:
- 9780197562567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195335927.003.0016
- Subject:
- Computer Science, Mathematical Theory of Computation

Alternating projections onto convex sets (POCS) [319, 918, 1324, 1333] is a powerful tool for signal and image restoration and synthesis. The desirable properties of a ... More

## Applications

*Robert J Marks II*

### in Handbook of Fourier Analysis & Its Applications

- Published in print:
- 2009
- Published Online:
- November 2020
- ISBN:
- 9780195335927
- eISBN:
- 9780197562567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195335927.003.0018
- Subject:
- Computer Science, Mathematical Theory of Computation

Fourier discovered the Fourier series as a solution to a boundary value problem [33, 303, 512, 620] related to the heat wave equation. Fourier’s work on heat is still ... More

## Introduction

*Robert J Marks II*

### in Title Pages

- Published in print:
- 2009
- Published Online:
- November 2020
- ISBN:
- 9780195335927
- eISBN:
- 9780197562567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195335927.003.0006
- Subject:
- Computer Science, Mathematical Theory of Computation

Jean Baptiste Joseph Fourier’s powerful idea of decomposition of a signal into sinusoidal components has found application in almost every engineering and science ... More

## Fourier Analysis in Systems Theory

*Robert J Marks II*

### in Handbook of Fourier Analysis & Its Applications

- Published in print:
- 2009
- Published Online:
- November 2020
- ISBN:
- 9780195335927
- eISBN:
- 9780197562567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195335927.003.0008
- Subject:
- Computer Science, Mathematical Theory of Computation

In the most general sense, any process wherein a stimulus generates a corresponding response can be dubbed a system. For a temporal system with single input, f (t), ... More

## A Practical Guide for MEG and Beamforming

*Anthony T. Herdman and Douglas Cheyne*

### in Brain Signal Analysis: Advances in Neuroelectric and Neuromagnetic Methods

- Published in print:
- 2009
- Published Online:
- August 2013
- ISBN:
- 9780262013086
- eISBN:
- 9780262258876
- Item type:
- chapter

- Publisher:
- The MIT Press
- DOI:
- 10.7551/mitpress/9780262013086.003.0005
- Subject:
- Neuroscience, Techniques

This chapter discusses the techniques for recording and analyzing magnetoencephalography (MEG) data and new approaches to MEG source localization based on beamforming. It addresses the general ... More

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