| Week |
Subject |
Related Preparation |
| 1) |
Nature of Biomedical Signals: Typical biomedical signals; Continuous time and discrete time; Types of signals (deterministic, stochastic); Noise |
|
| 2) |
Fundamentals of Signal Processing: Properties of operators and transformations; Energy and power signals; Concept of autocorrelation; Autocorrelation and autocovariance for DT signals |
|
| 3) |
The Impulse Response: Biomedical example; Generalized frequency response; Frequency response of DT systems; Serial and parallel filter cascades; Ideal filters; Frequency response and nonlinear systems |
|
| 4) |
Modeling Continuous-Time Signals as Sums of Sine Waves: Introductory example; Orthogonal functions; Sinusoidal basis functions, Fourier series; Frequency response and nonsinusoidal periodic inputs; Parseval’s relation for periodic signals |
|
| 5) |
Continuous-time Fourier transform; Relationship of Fourier transform and Frequency response; Properties of Fourier transform; Generalized Fourier transform; Parseval’s relation for Nonperiodic signals |
|
| 6) |
Linear-Continuous-Time Filters: Laplace transform; Properties of Laplace transform, Inverse Laplace transform, Transfer functions; Feedback systems; Biomedical applications of Laplace transform |
|
| 7) |
Modeling Signals as Sums of Discrete-Time Sine Waves: Discrete-time Fourier series; Fourier transform of DT signals; Output of an LSI system; Relation of DFS and DTFT; Windowing |
|
| 8) |
Midterm Examination. Discussion and solutions of the questions. |
|
| 9) |
Sampling and Discrete Fourier Transform |
|
| 10) |
Noise Removal and Signal Compensation: Eigenfunctions of LTI systems and the Z-transform; Properties of Z-transform; Inverse Z-transform; Analyzing digital filters using Z-transform |
|
| 11) |
Filter Design: IIR filter design by approximating a CT filter; IIR filter design by impulse invariance; IIR filter design by bilinear transformation; FIR filter design |
|
| 12) |
Modeling Stochastic Signals as Filtered White Noise: Random processes; Mean and autocorrelation of a random process; Stationarity and ergocity; General linear processes; Yule-Walker equations |
|
| 13) |
Autoregressive (AR) processes; Moving average (MA) processes; Autoregressive-Moving average (ARMA) processes; Harmonic processes |
|
| 14) |
Nonlinear Models of Signals: Basic concepts; Poincare sections and return maps; Chaos; Measures of nonlinear signals and systems; Estimating the dimension of real data; Tests of null hypotheses based on surrogate data |
|
| |
Program Outcomes |
Level of Contribution |
| 1) |
Adequate knowledge of subjects specific to mathematics (analysis, linear, algebra, differential equations, statistics), science (physics, chemistry, biology) and related engineering discipline, and the ability to use theoretical and applied knowledge in these fields in complex engineering problems. |
|
| 2) |
Identify, formulate, and solve complex Biomedical Engineering problems; select and apply proper modeling and analysis methods for this purpose |
2 |
| 3) |
Design complex Biomedical systems, processes, devices or products under realistic constraints and conditions, in such a way as to meet the desired result; apply modern design methods for this purpose. |
4 |
| 4) |
Devise, select, and use modern techniques and tools needed for solving complex problems in Biomedical Engineering practice; employ information technologies effectively. |
3 |
| 5) |
Design and conduct numerical or physical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Biomedical Engineering. |
4 |
| 6) |
Cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Biomedical Engineering-related problems. |
3 |
| 7) |
Ability to communicate effectively in Turkish, oral and written, to have gained the level of English language knowledge (European Language Portfolio B1 general level) to follow the innovations in the field of Biomedical Engineering; gain the ability to write and understand written reports effectively, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. |
4 |
| 8) |
Recognize the need for life-long learning; show ability to access information, to follow developments in science and technology, and to continuously educate oneself. |
2 |
| 9) |
Having knowledge for the importance of acting in accordance with the ethical principles of biomedical engineering and the awareness of professional responsibility and ethical responsibility and the standards used in biomedical engineering applications |
3 |
| 10) |
Learn about business life practices such as project management, risk management, and change management; develop an awareness of entrepreneurship, innovation, and sustainable development. |
2 |
| 11) |
Acquire knowledge about the effects of practices of Biomedical Engineering on health, environment, security in universal and social scope, and the contemporary problems of Biomedical Engineering; is aware of the legal consequences of Mechatronics engineering solutions. |
1 |