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- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Signal_Processing_and_Modeling/Signals_and_Systems_(Baraniuk_et_al.)/11%3A_Laplace_Transform_and_Continuous_Time_System_Design/11.06%3A_Region_of_Convergence_for_the_Laplace_TransformThis page explains the region of convergence (ROC) in Laplace transforms for continuous-time LTI systems, detailing how certain signals yield converging outputs while others do not. It differentiates ...This page explains the region of convergence (ROC) in Laplace transforms for continuous-time LTI systems, detailing how certain signals yield converging outputs while others do not. It differentiates convergence conditions for causal and anti-causal signals based on the real part of the complex variable \(s\). The ROC is depicted in the s-plane, with the overall ROC for multiple poles determined by the intersection of their individual regions.
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Introductory_Electrical_Engineering/Electrical_Engineering_(Johnson)/03%3A_Analog_Signal_Processing/3.13%3A_Transfer_FunctionsThe circuit's output to a sinusoidal input is also a sinusoid, having a gain equal to the magnitude of the circuit's transfer function evaluated at the source frequency and a phase equal to the phase ...The circuit's output to a sinusoidal input is also a sinusoid, having a gain equal to the magnitude of the circuit's transfer function evaluated at the source frequency and a phase equal to the phase of the transfer function at the source frequency.
- https://eng.libretexts.org/Bookshelves/Electrical_Engineering/Signal_Processing_and_Modeling/Signals_and_Systems_(Baraniuk_et_al.)/04%3A_Time_Domain_Analysis_of_Discrete_Time_Systems/4.01%3A_Discrete_Time_SystemsThis page discusses discrete time systems, particularly focusing on linear and time-invariant (LTI) systems in digital signal processing. It explains linearity via additivity and homogeneity, and time...This page discusses discrete time systems, particularly focusing on linear and time-invariant (LTI) systems in digital signal processing. It explains linearity via additivity and homogeneity, and time invariance regarding consistent responses to time shifts. LTI systems enable easier computations and the use of frequency domain techniques.
