42-703 Wavelets and Multiresolution Techniques
12 units, Carnegie Mellon University
42-703 Wavelets and Multiresolution Techniques in Bioimaging 12.0 units The goal of this course is to expose students to multiresolution signal processing methods and their use in biomedical imaging applications as well as to guide students through the steps of a research process. The course is roughly divided in two parts: 1. The first part introduces the necessary mathematical tools with a great emphasis on intuitive understanding of how they operate on real-life signals. 2. The second part is project-based, where, through a biomedical imaging project, studentswill learn how to choose a research area, formulate a problem, research previous work, propose solutions, carry out experiments and interpret results. The focus is on training students to become a researcher. To that end, students will write papers in a typically conference format, rehearse presentations with feedback both from the instructor and other students in the class, as well as present projects as part of the BME Seminar. Upon successful completion of this course, students will be able to: * Explain the importance and use of signal representations in building sophisticated signal processing tools such as wavelets; * Describe how Fourier theory fits in a bigger picture of signal representations; * Use basic multirate building blocks, such as a two-channel filter bank and characterize the discrete wavelet transform and its variations; * Construct a time-frequency decomposition to fit the signal provided, and; * Apply these concepts to solve a practical problem through an independent project. 2 hrs. lec., 2 hrs. rec/lab Prerequisite: 18-491 Digital Signal Processing
Prerequisites: 18-396
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