Università degli Studi di Napoli "Parthenope"

Teaching schedule

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Second semester
Hours of front activity: 



Course description

*) Knowledge and understanding: Knowledge of the mathematical foundations for the representation and analysis of continuous-time and discrete-time signals, in time and frequency domain. Knowledge of the input-output relations for continuous-time and discrete-time time-invariant linear systems.

*) Applied knowledge and understanding: analyze a signal in time domain and in frequency domain; calculate the output of a linear time invariant system corresponding to an assigned input signal.

*) Making judgments: developing the ability of critically and synergistically using the various instruments for signal analysis and for calculating the output of systems.

*) Communication skills: Ability to present the topics in a clear and rigorous technical-scientific point of view. Knowing how to submit an application solution in a simple and comprehensive.

*) Learning skills: knowing how to integrate knowledge from various sources for the purpose of deepening. Knowing how to use the concepts covered for applications other than those disclosed.


There are no mandatory prerequisites.
Recommended prerequisites: Calculus I and II.


Definition of signals and systems. Classification of signals and systems (2 hours).
Operations on signals. Transformations of the dependent and independent variable. Combination of elementary operations. Derivation, integration, first difference and sum (4 hours).
Synthetic characterization of signals. Extension and time duration. Periodic signals. Area and time average. Continuous and alternating components. Energy. Power and rms value. Energy and mutual poIer. Self and mutual correlation functions (10 hours).
Properties of systems. i-O relation. Interconnection of systems. Properties of systems. Non-dispersivity. Causality. Invertibility. Temporal invariance. Stability. Linearity. (4 hours).
LTI systems. I-O relationship and impulse response. Convolution. Step response. Properties of impulsive response. Non-dispersivity. Causality. Invertibility. Stability. Systems described by differential and difference equations (ARMA systems) (9 hours).
Frequency response of an LTI system. Response to a phasor and a sine wave (3 hours).
Fourier series for TC signals. Convergence conditions. Reconstruction of a periodic signal with a finite number of harmonics. DFS. Main properties. Linearity. Hermitian symmetry. Parseval equality. Response to a periodic signal. Ideal filters (8 hours).
Fourier transform for TC and TD signals. Properties. I-O relation in the frequency domain. Convolution properties. Existence and invertibility of the Fourier transform. (6 hours)
Bandwidth of a signal. Properties of the Fourier transform. Transformations of the dependent and independent variable. Derivation and first difference, integration and sum. Fourier transform of a periodic signal TC and TD. Bandwidth of a periodic signal (8 hours).
Relations between series and Fourier transform. Spectral energy density and spectral power density (4 hours).
Properties of LTI systems in the freq. domain. Filtering. Bandwidth of a system. Interconnection of LTI systems in the freq. domain. Freq. response properties. Instantaneity. Stability. Causality. Non-distorting systems and their frequency response. Equalization. (8 hours).
Sampling and A/D and D/A conversion. Ideal sampling. Sampling theorem. Ideal interpolation. Aliasing. Sampling and interpolation in practice (6 hours).

Definition of signal and system. Classification of signals and systems. Operations on signals.
Synthetic characterization of signals. Energy and power for TC TD signals. Energy and power signals. Mutual energy and power. Auto and mutual correlation functions.
Systems and their properties. Input-output relationship. Interconnection of systems. Linear and invariant time (LTI) systems. i-u relationship of an LTI system and impulse response. Frequency response of an LTI system.
Fourier series for TC signals. Reconstruction of a periodic signal with a finite number of harmonics. Fourier series for TD signals (DFS). Parseval Equality. Response of an LTI system to a periodic signal. Frequency selectivity of LTI systems and ideal filters.
Fourier transformation for TC and TD signals and its properties. i-u relationship in the frequency domain for LTI systems. Spectral extension and bandwidth of a signal. Fourier transformation of a periodic signal to TC and TD. Relationship between series and Fourier transform. Energy and power spectral density for TC and TD signals.
Characterization and properties of LTI systems in the frequency domain. Signal separation by filtering, interconnection of LTI systems in the frequency domain. Non-distortive systems. Distortion and equalisation systems.

Teaching Methods

Classroom lectures and exercises.


Giacinto Gelli, Francesco Verde, ‘Segnali e sistemi’, Liguori Ed., 2014.

Learning assessment

The objective of the examination test is to verify the level of achievement of the training objectives indicated above.
The examination is divided into 2 parts which take place on different days:
• A written test that aims to assess the level of understanding and the ability to use the instruments studied during the course; to pass the test it is necessary to acquire at least 15 points out of 30. The test time is 2 hours; books and notes cannot be consulted.
• An oral test in which the ability to connect and compare different aspects dealt with during the course will be evaluated; to pass the test it is necessary to acquire at least 18 points out of 30.
The final score is the average of the two scores. If the total mark is less than 18, all two tests must be repeated.

More information

Course material on the Teams class.

Teams code 91q4qvv.

Student reception hours: Thursdays 11:00 am-1:00 pm.