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Course Criteria
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3.00 Credits
Review of measure and integration theory, elements of probability, random variables, conditional probability, and expectations. Stochastic processes, stationarity and ergodicity. Gaussian processes and Brownian motion, the Poisson process. Markov processes, wide-sense stationary processes, spectral representations, linear prediction and filtering. Stochastic integrals and differential equations, white noise and the stochastic calculus, the Fokker-Planck equation, diffusion processes, recursive filtering and estimation, evaluation of likelihood ratios. Applications in communication, information processing, and control. Prerequisites/Corequisites: Prerequisite: ECSE 6510. When Offered: Fall term on sufficient demand. Credit Hours: 3
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3.00 Credits
The functional characterization of digital signals and transmission facilities, band-limited and duration-limited signals, modulation and demodulation techniques for digital signals, error probability, intersymbol interference and its effects, equalization and optimization of baseband binary and M-ary signaling systems, error control coding techniques, digital filtering current practices in modern design. Introduction to communication networks and switched systems, store-and-forward communication systems, broadband communication techniques, channel protocol, current developments in digital communication systems design and operation. Prerequisites/Corequisites: Prerequisites: ECSE 4520, linear systems theory and transform theory. When Offered: Fall term annually. Credit Hours: 3
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3.00 Credits
Principles of efficient digital representation of analog signals and their application to images, audio, and multimedia signals. Topics include rate-distortion theory, scalar and vector quantization, trellis-coded quantization (TCQ), entropy coding, Huffman coding, arithmetic coding, bit-plane coding, set partition coding, Ziv-Lempel coding, PCM, DPCM, transform coding, subband/wavelet coding, and tree/trellis coding. Certain standard or oft-used systems, evolving or current, such as JPEG, JPEG2000, JPEG-LS, Wavelet/TCQ, EZW, SPIHT, FBI Fingerprint, and MPEG will be treated. Prerequisites/Corequisites: Prerequisites: ECSE 6510, ECSE 6530. When Offered: Spring term odd-numbered years. Credit Hours: 3
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3.00 Credits
Review of the discrete Gaussian noise channel and development of coding theorems. Waveform channels, orthonormal expansions of signals and Gaussian noise, the vector model of waveform channels, time-bandwidth and dimensionality, optimum receiver principles, channel capacity and reliability functions, signal design and selection. Coding for the Gaussian noise channel, theoretical performance bounds, implementation of error control coding, techniques for overall system evaluation, investigation of fundamental rate versus reliability tradeoffs. Prerequisites/Corequisites: Prerequisite: ECSE 6510. When Offered: Spring term annually. Credit Hours: 3
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3.00 Credits
A comprehensive description of the concepts used in modern wireless and cellular systems. The general topics covered will be wireless channel models, multi-access issues, such as FDMA/TDMA and CDMA with a brief view of GSM, descriptions of digital transmission methods in wireless, receiver diversity, channel estimation and multi-user detection, and wideband communications. We will address the topics of system capacity and the effects of automatic power control, wireless networks, and DSP applications for wireless. Prerequisites/Corequisites: Prerequisites: ECSE 6510 and ECSE 6560. When Offered: Spring term annually. Credit Hours: 3
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3.00 Credits
This course will cover concepts and protocols which enable heterogeneous computer networks to work with each other, including transport (TCP, UDP), network (IP, IPng), routing (RIP, OSPF), network management (SNMP, SNMPv2, RMON), and other important protocols like ARP, ICMP, DNS, BOOTP, DHCP and HTTP. Advanced topics like Mobile IP, Real-time and reservation protocols (RTP, RSVP), IP multicast (IGMP, MBONE) and network security will also be examined. Emphasis will be on breadth of coverage, as well as hands-on programming experiences. Prerequisites/Corequisites: Prerequisite: ECSE 4670. Credit Hours: 3
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3.00 Credits
Structure of pattern classification problems. Mathematics of statistical decision theory: random vectors, multivariate probability functions, discriminants, parametric and nonparametric techniques, Bayesian and maximum likelihood estimation, feature selection, dimensionality reduction, whitening transformations. Adaptive methods and clustering. Five programming assignments and a term paper. Prerequisites/Corequisites: Prerequisite: ECSE 4500 or equivalent. When Offered: Fall term annually. Credit Hours: 3
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3.00 Credits
A comprehensive treatment of the theory, design, and implementation of digital signal processing structures. The sampling, quantization, and reconstruction process. Design of digital filters in both the time and frequency domains. Analysis of finite word length effects. Theory and applications of discrete Fourier transforms and the FFT algorithm. Applications from the communication, control, and radar signal processing areas. Prerequisites/Corequisites: Prerequisites: ECSE 4500, ECSE 4510. When Offered: Fall term annually. Credit Hours: 3
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3.00 Credits
Theory of multidimensional signal processing and its application to digital image and video processing. The first half will cover signals and systems, Fourier transform, z-transform, discrete Fourier transform, FIR and IIR filters and their design. The emphasis will be on the unexpected and important differences from the one-dimensional case. The second half consists of applications in image and video signal processing, e.g., compression coding, noise reduction, motion estimation, deblurring, and restoration. Prerequisites/Corequisites: Prerequisites: ECSE 6510, ECSE 6620. When Offered: Spring term annually. Credit Hours: 3
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3.00 Credits
Pictures and their computer representation. Image digitization, transform, and prediction methods. Image coding and image data compression. Digital enhancement techniques, histogram equalization, differencing, smoothing, and geometric corrections. Restoration and filtering. Edge detection and picture segmentation. Geometric analysis, connectedness, size, distance, directionality, and shape. Image processing languages and software. Applications from remote sensing, scene analysis, and medical-image analysis. Prerequisites/Corequisites: Prerequisites: prior exposure to probability, stochastic processes, and assembler language programming is recommended but not required. When Offered: Offered on sufficient demand. Credit Hours: 3
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