Università Roma Tre

An introduction to Communication, Messages and Signals, Signals and Spectra. Elements and Limitations of Communications Systems. Information, Messages, and Signals. Elements of a Communication System. Fundamental Limitations. Modulation and Coding. Signals and Spectra. Line Spectra and Fourier Series. Phasors and Line Spectra. Periodic Signals and Average Power. Fourier Series. Parseval’s Power Theorem. Fourier Transforms and Continuous Spectra. Time and Frequency Relations. Convolution. Convolution Theorems. Impulses and Transforms in the Limit. Properties of the Unit Impulse. Impulses in Frequency. Step and Signum Functions. Impulses in Time. Correlation and Spectral Density. Correlation of Power Signals. Correlation of Energy Signals. Spectral Density Functions.

Sampling Theorem and Signal Transformation. Sampling Theory and Practice. Sampling and Reconstruction. Practical Sampling and Aliasing. Response of LTI Systems. Impulse Response and the Superposition Integral. Transfer Functions and Frequency Response. Signal Distortion in Transmission. Distortionless Transmission. Linear Distortion. Equalization. Transmission Loss and Decibels. Power Gain. Transmission Loss and Repeaters. Fiber Optics. Radio Transmission. Filters and Filtering. Ideal Filters. Bandlimiting and Timelimiting. Real Filters. Pulse-Amplitude Modulation. Noise and Errors. Binary Error Probabilities. Regenerative Repeaters. Matched Filtering. Correlation Detector.

Probability and Random Variables. Probability and Sample Space. Probabilities and Events. Sample Space and Probability Theory. Conditional Probability and Statistical Independence. Random Variables and Probability Functions. Discrete Random Variables and CDFs. Continuous Random Variables and PDFs. Transformations of Random Variables. Joint and Conditional PDFs. Statistical Averages. Means, Moments, and Expectation. Standard Deviation. Characteristic Functions. Probability Models. Binomial Distribution. Gaussian Distribution. Central Limit Theorem.

Information and Detection Theory. Information Measure and Source Coding. Information Measure. Entropy and Information Rate. Coding for a Discrete Memoryless Channel. Continuous Channels and System Comparisons. Continuous Information. Continuous Channel Capacity. Ideal Communication Systems. System Comparisons. Optimum Digital Detection. Optimum Detection and MAP Receivers. Error Probabilities

Baseband and Bandpass Digital Transmission. Digital Signals and Systems. Digital PAM Signals. Transmission Limitations. Power Spectra of Digital PAM. Spectral Shaping by Precoding. Digital CW Modulation. Spectral Analysis of Bandpass Digital Signals. Amplitude Modulation Methods. Phase Modulation Methods. Frequency Modulation Methods. Minimum-Shift Keying (MSK). Coherent Binary Systems. Optimum Binary Detection. Coherent OOK, BPSK, and FSK. Timing and Synchronization. Interference. Quadrature-Carrier and M-ary Systems. Quadrature-Carrier Systems. M-ary PSK Systems. M-ary QAM Systems. M-ary FSK Systems. Comparison of Digital Modulation Systems

Wired and Wireless Systems and Applications. Text coding. Fax coding. Code excited linear prediction coding. MPEG 1 layer 3 coding (MP3). Electronic music (MIDI). Image processing (GIF, JPEG). Video Processing (MPEG-2 and MPEG-4). Asymmetric Digital Subscriber Line (ADSL).

- A.B. Carlson, P.B. Crilly, J.C. Rutledge, "Communication Systems: an introduction to signals and noise in electrical communication", McGraw-Hill International Edition.
- C. Prati, "Segnali e Sistemi per le Telecomunicazioni", II ed., McGraw-Hill, 2010.
- R. Cusani, "Teoria dei Segnali", 2001, Ingegneria 2000