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EEE 525

Advanced Signal Processing

A graduate-level deep dive into the mathematical machinery behind modern DSP: you stop thinking of signals as sequences and start treating them as vectors in Hilbert spaces, which is the unifying lens for transforms, wavelets, adaptive filters, and inverse problems. Work is six problem sets that drill the linear algebra and estimation theory, plus a research paper you pick from current signal processing journals and present orally. It assumes you are comfortable with undergraduate signals, probability, and linear algebra, and it functions as the foundational toolkit for research in communications, imaging, radar, and machine learning down the line.

Credit3ECTS5FacultyFaculty of EngineeringBölümElectrical and Electronics Engineering

Değerlendirme 40% — 2 adım

15%
25%
Homework Several homeworks that may require programming 15%
Oral presentation A presentation about a selected topic from current issues 25%

Önerilen kaynaklar 1 kitap

📖
Önerilen
Mathematical Methods and Algorithms for Signal Processing
Todd K. Moon and Wynn C. Stirling, Prentice Hall

Haftalık müfredat 14 hafta

Hafta 1
Introduction to course contents. Basics of random signals. AR, MA and ARMA models.
Hafta 2
Vector spaces, inner product spaces, Hilbert spaces. Orthogonality.
Hafta 3
Basis functions, sampling and discrete representation of analog signals. Recovery of signals from their samples.
Hafta 4
Signal transforms: Fourier, Sine, Cosine, Haar, Hadamard, Karhunen-Loeve, etc., eigenanalysis
Hafta 5
Wavelet transforms. Multirate signal processing. Up-sampling, down-sampling, polyphase filters.
Hafta 6
Linear filtering. Toepliz matrices. Inverse operators and inversion techniques.
Hafta 7
Iterative inversion methods. Projections onto convex sets (POCS).
Hafta 8
Adaptive filtering, the LMS algorithm.
Hafta 9
RLS (recursive least squares) algorithm.
Hafta 10
Classical spectrum estimation methods. Model based spectrum estimation, Maximum Entropy method, Levinson-Durbin Algorithm.
Hafta 11
Markov and hidden Markov models.
Hafta 12
Introduction to signal compression
Hafta 13
Introduction to multi-dimensional signals and processing
Hafta 14
An overview of current research topics

🤖 GenAI politikası

The purpose of homeworks is to improve your understanding and skills related to the course topics. It is essential that you learn, in detail together with all related steps and justifications, all those topics in the homeworks. Therefore, you are not allowed to pass the questions, analysis or design steps, and the programming parts of the homeworks to someone else, let them do the work for you, and use such obtained content while preparing the homework, since such an approach will severely degra

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Geçmiş GPA dağılımı 18 dönem · ort. 3.30

DönemCourse CPA
2024-2025 Spring 3.48 1 sec · 27 öğr
2023-2024 Spring 3.45 1 sec · 13 öğr
2022-2023 Spring 3.66 1 sec · 9 öğr
2021-2022 Spring 3.54 1 sec · 6 öğr
2020-2021 Spring 3.44 1 sec · 13 öğr
2019-2020 Fall 3.74 1 sec · 5 öğr
2018-2019 Spring 2.43 1 sec · 7 öğr
2017-2018 Spring 3.13 1 sec · 8 öğr
2016-2017 Fall 3.41 1 sec · 15 öğr
2015-2016 Fall 2.66 1 sec · 8 öğr

Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.

⚠️ FZ engelleyen şartlar

None.

Hocalar 1 bu dönem · 3 geçmiş

Bu dönem (2025-2026 Spring) · 1 section
Levent Onural
Geçmişte ders veren (3 kişi)
Ahmet Enis Çetin, Orhan Arıkan, Süleyman Serdar Kozat