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2 Linear Time-Invariant Systems -- Analysis of Signals and Systems in time-domain. An arbitrary signal can be represented as the supposition of scaled (weighted) and shifted unit impulse functions. A LTI system can be completely characterized in terms of its unit impulse response.
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2 Linear Time-Invariant Systems--Analysis of Signals and Systems in time-domain An arbitrary signal can be represented as the supposition of scaled (weighted) and shifted unit impulse functions. A LTI system can be completely characterized in terms of its unit impulse response. Solving and analyzing a TLI system using its unit impulse response.
2.1 Discrete-Time Signals and Systems 2.1.1 The representation of Discrete-Time Signals in Terms of Impulses
2.1.1 The representation of Discrete-Time Signals in Terms of Impulses
2.1.2 The Discrete-Time Unit Impulse Response and the Convolution-Sum Representation of LTI Systems [n] h[n]: Unit Impulse Response [n-k] h[n-k]: Time-Invariant Property x[k][n-k] x[k]h[n-k]: Linear Property x[k][n-k]x[k]h[n-k] : Linear Property x[n] y [n]