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Update 2024-09-20-chapter-one.md
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LiPtP0000 authored Sep 25, 2024
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{: .box-note}
Discrete-time signals can be obtained by sampling continuous signals at equal intervals, typically represented as sequences. Common discrete-time signals include the unit impulse, unit step, rectangular, real exponential, and complex exponential sequences. Sequence operations involve addition, multiplication, shifting, and energy calculations, with square summability and absolute summability being important classifications.<br\> Transformations of discrete-time signals include the Discrete-Time Fourier Transform (DTFT) and the z-transform, which have a close relationship, particularly in their correspondence on the unit circle. Discrete-time systems (LTI systems) generate outputs through the convolution of input signals with the unit impulse response, considering stability and causality. <br\>The system function and frequency response are key to analyzing system behavior, with filters categorized into FIR (no poles) and IIR (with poles) types; the former is a non-recursive structure, while the latter involves feedback mechanisms.
Discrete-time signals can be obtained by sampling continuous signals at equal intervals, typically represented as sequences. Common discrete-time signals include the unit impulse, unit step, rectangular, real exponential, and complex exponential sequences. Sequence operations involve addition, multiplication, shifting, and energy calculations, with square summability and absolute summability being important classifications.<br/> Transformations of discrete-time signals include the Discrete-Time Fourier Transform (DTFT) and the z-transform, which have a close relationship, particularly in their correspondence on the unit circle. Discrete-time systems (LTI systems) generate outputs through the convolution of input signals with the unit impulse response, considering stability and causality. <br/>The system function and frequency response are key to analyzing system behavior, with filters categorized into FIR (no poles) and IIR (with poles) types; the former is a non-recursive structure, while the latter involves feedback mechanisms.

## 离散时间信号

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