# Course syllabus B-SAS - Signals and Systems (FEEIT - SS 2018/2019)

**Syllabus**

Slovak

**English**

University: | Slovak University of Technology in Bratislava |

Faculty: | Faculty of Electrical Engineering and Information Technology |

Course unit code: | B-SAS |

Course unit title: | Signals and Systems |

Mode of completion and Number of ECTS credits: | Exam (6 credits) |

Course contents: | |

[1] The division signals, the basic characteristics of signals. Ortogonality of signals and generalized Fourier series. Time and frequency analysis of periodic signals. Power spectrum, practical bandwidth of periodic signals. Quasiperiodic signals.
[2] Time and frequency analysis of aperiodic signals. Spectrum of certain types of aperiodic signals. The energy spectrum of aperiodic signals. Practical spectral width of aperiodic signals. Energy density spectrum and practical bandwidth of aperiodic signals. [3] The correlation and convolution of analog signals. Analogy between vectors and signals. Static and dynamic parameters of correlation analysis. Convolution analog signals and its applications. [4] Hilbert transform and its applications. Analytic signal. Envelope, instantaneous phase and instantaneous angular frequency of analytic signal. Spectral density function of analytic signal. [5] Analog-digital conversion. Ideal sampling, aliasing. Reconstruction of the analog signal. Real sampling. Quantization and coding. [6] Time and frequency analysis of discrete-time signals. Discrete convolution and discrete correlation-basic properties and applications. [7] Random signals. Basic concepts of the theory of random variables. System of random variables. Basic concepts of the theory of random functions (signals, processes). Main characteristics of random signals, the distribution of random signals. Spectral analysis of stationary random signals. [8] Analog deterministic signal processing by linear time-continuous and time-invariant (LCTI) systems. System types and its properties Causal LCTI systems described by differential equations and its solution. System (transfer) function and frequency characteristics of LCTI systems. Unit step and unit pulse response of LCTI system. Zero and poles of the transfer function. [9] Linear distortion and frequency bandwidth of LCTI systems. Basic types of LCTI systems. Interconnection of LCTI systems and block diagram representation. Stability of LCTI systems in time and frequency domain, the stability criterion. [10] Deterministic discrete-time signal processing by linear time-discrete and time-invariant (LDTI) systems. Causal LDTI systems described by difference equations and its solution. System (transfer) function and frequency characteristics of LDTI systems. Impulse response of LDTI system. Description of system function by zeroes and poles. Basic types of LDTI systems and block diagram representation. Stability of LDTI systems in time and frequency domain. [11] Analog random signal processing by LCTI systems. Applications of linear differential equation and impulse response. Autocorrelation function for output random signal. Spectral analysis of output signal, relationships between input and output random signals for LCTI systems. White noise. [12] Modulation and modulation types. Analog modulation- amplitude, frequency and phase modulations. Pulse modulations – PAM, PPM and PWM. Discrete-time modulations. Code modulations. |

*Last modification made by RNDr. Marian Puškár on 04/11/2018.*