[Signals and Systems] Preview notes (updated...)


Punch record sheet 3312min

date Check in schedule
2023.1.8 1.8%
2023.1.9 2.8%
2023.1.10 4.0%
2023.1.11
2023.1.17 God, I'm so lazy

(1) Overview of signals and systems

1.0 Common Trigonometric Formulas

  • as knowledge supplement
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1.1 Signals and systems

  • Signal: the manifestation of a message
  • System: A whole with specific functions composed of several interacting or interdependent things.

1.2 Representation and classification of signals

  • Representation of signal: expression f(t) (function of time) / waveform (image drawn by the function)
Signal classification describe express
OK signal There is a definite function expression Insert image description here
random signal Function expression not determined Insert image description here
continuous signal The independent variable is within the defined range, excluding some discontinuous points, and a certain function value can be obtained for any independent variable. Insert image description here
discrete signal A discrete signal
with equal intervals of independent variables defined only on certain discrete values ​​is often called a sequence f(k)
k=0,±1,±2,±3...called a sequence number
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periodic signal Within the defined interval, changes are repeated according to the same rules every certain time T or positive number N. Insert image description hereInsert image description hereInsert image description here
non-periodic signal Not cyclical
real signal The signal function value is a real number
complex signal The signal function value is a complex number Insert image description here
energy signal
power signal
Continuous Signals -
Integrating Discrete Signals - Summing
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1.3 Basic signals

1.4 Signal operation

  • Signal operations
Operation classification describe
Addition and multiplication of signals
calculus of signals
Difference of discrete signals
Accumulation of discrete signals
Signal deconvolution shift
signal scaling
  • Signal arithmetic comprehensive questions

1.5 System characteristics


(2) Time domain analysis of continuous systems

(3) Time domain analysis of discrete systems

(4) Fourier transform and frequency domain analysis

(5) Discrete Fourier transform

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Origin blog.csdn.net/Taylor_Kurt/article/details/128576919