Signals and Systems

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Unit 1 - Continuous-time and Discrete-time Signals and Systems

Topics include: Signal Energy and Power, Transformations of Independent Variable, Periodic Signals, Even and Odd Signals, Continuous-time Complex Exponential Signals, Continuous-time Harmonically Related Complex Exponential Signals, Periodicity of Continuous-time Complex Exponential Signals, Discrete-time Complex Exponential Signals, Discrete-time Harmonically Related Complex Exponential Signals, Periodicity of Discrete-time Complex Exponential Signals, Distinguishing Characteristics of Discrete-time Complex Exponential Signals, Continuous-time Unit Impulse and Unit Step Signals, Discrete-time Unit Impulse and Unit Step Signals, Basic System Properties, Systems With and Without Memory, Invertibility and Inverse System, Causality, Bounded-input/Bounded-output (BIBO) Stability, Time Invariance, Linearity.

01- Continuous-time and Discrete-time Signals and Systems: Lecture Notes

01- Continuous-time and Discrete-time Signals and Systems: Solutions Homework

Unit 2 - Continuous-time and Discrete-time LTI Systems

Topics include: Continuous-time Linear Time-Invariant (LTI) System, Impulse Response of Continuous-time LTI System, Formulation of Convolution Integral, Examples Using Convolution Integral to Find Zero-state Response of Continuous-time LTI System, Discrete-time LTI System, Impulse Response of Discrete-time LTI System, Formulation of Convolution Sum, Examples Using Convolution Sum to Find Zero-state Response of Discrete-time LTI System, Basic Properties of LTI Systems, LTI Systems With and Without Memory, Invertibility of LTI Systems, Causality of LTI Systems, Causality of Linear Systems, Condition of Initial Rest, Bounded-input / Bounded-output (BIBO) Stability of LTI Systems, Example Using Impulse Response to Ascertain Basic Properties of an LTI System, Unit Step Response of Continuous-time LTI System, Relationships Between Unit Step Response and Unit Impulse Response of Continuous-time LTI System, Unit Step Response of Discrete-time LTI System, Relationships Between Unit Step Response and Unit Impulse Response of Discrete-time LTI System.

02- Continuous-time and Discrete-time LTI Systems: Lecture Notes

02- Continuous-time and Discrete-time LTI Systems: Solutions Homework