Transcription of Convolution Table (1) Convolution Table (2)
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Convolution Table (1) Convolution Table (2)
Lecture 5 Slide 1 PYKC 24-Jan-11 Signals & Linear Systems Lecture 5 Time-domain analysis: Convolution (Lathi ) Peter Cheung Department of Electrical & Electronic Engineering Imperial College London URL: E-mail: Lecture 5 Slide 2 PYKC 24-Jan-11 Signals & Linear Systems Convolution Integral: System output ( zero-state response) is found by convolving input x(t) with System s impulse response h(t). Convolution Integral ()()*()()()ytxthtxhtd == LTI System Impulse Response h(t) ()()*()ytxtht=Lecture 5 Slide 3 PYKC 24-Jan-11 Signals & Linear Systems Use Table to find Convolution results easily: Convolution Table (1) p177 Lecture 5 Slide 4 PYKC 24-Jan-11 Signals & Linear Systems Convolution Table (2) Lecture 5 Slide 5 PYKC 24-Jan-11 Signals & Linear Systems Convolution Table (3) p177 Lecture 5 Slide 6 PYKC 24-Jan-11 Signals & Linear Systems Example (1) Find the loop current y(t) of the RLC circuits for input when all the initial conditions are zero.
with System’s impulse response h(t). Convolution Integral ... weighted by h(t- τ) (i.e. x(τ) h(t- τ)) for the shaded pulse, PLUS the contribution from all the previous pulses of x(τ). The summation of all these weighted inputs is the convolution integral. L2.4-2 p191
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