Wide Sense Stationary Random Processes | Digital Signal Processing # 14
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3 سال پیش
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📚About
A Wide Sense Strictly Stationary Random Process is a particular type of random process that is a "weak version" of the stronger strictly stationary random process. In this lecture, we attempt to clear this term through an intuitive approach. This lecture is outlined as follows:
⏲Outline
00:00 Introduction
01:30 Mean of Random Processes
03:14 Mean of Strictly Stationary Random Processes
05:15 Autocorrelation Function
06:30 Autocorrelation of Strictly Stationary Random Processes
09:12 Wide Sense Stationary
11:22 Autocovariance Function
13:46 Autocorrelation properties
15:11 Property 1: Mean-Squared Value
15:46 Property 2: Even Function
17:15 Property 3: Peaks at zero
20:10 Autocorrelation Behaviour
21:14 Local Oscillator Example
26:37 Autocorrelation on MATLAB
34:48 Summary
36:22 Outro
📙Previous Lectures
Lecture 1: Signals & Systems Signals and Systems | Digital Signal ...
Lecture 2: Multichannel and Multidimensional signals Multichannel and Multidimensional sig...
Lecture 3: Continuous-time & Discrete-time signals& Sampling Continuous-time & Discrete-time signa...
Lecture 4: Continuous-valued & Discrete-valued s...
Lecture 5: Deterministic vs Random Signals Deterministic vs Random Signals | Dig...
Lecture 6: Continuous-time sinusoidal signals & Phasors Continuous-time sinusoidal signals & ...
Lecture 7: Discrete-time sinusoidal signals & Aliasing Discrete-time sinusoidal signals & Al...
Lecture 8: Continuous Complex Exponentials & Fourier Series Continuous Complex Exponentials & Fou...
Lecture 9: Discrete Complex Exponentials & Fourier Series | Signal Processing Discrete Complex Exponentials & Fouri...
Lecture 10: Analog to Digital Converters Analog to Digital Converters | Digita...
Lecture 11: Sampling Analog Signals Sampling Analog Signals | Digital Sig...
Lecture 12: Random Processes Random Processes | Digital Signal Pro...
Lecture 13: Stationary Random Processes Stationary Random Processes | Digital...
📖 Related Content
Proakis, John G., and Dimitris G. Manolakis. "Digital signal processing." PHI Publication: New Delhi, India (2004).
https://www.amazon.com/Digital-Signal...
Oppenheim, Alan V., John R. Buck, and Ronald W. Schafer. Discrete-time signal processing. Vol. 2. Upper Saddle River, NJ: Prentice Hall, 2001.
https://www.amazon.fr/Digital-Signal-...
MATLAB
https://www.mathworks.com/products/ma...
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#SignalProcessing #StationaryProcess #CommunicationSystems
📚About
A Wide Sense Strictly Stationary Random Process is a particular type of random process that is a "weak version" of the stronger strictly stationary random process. In this lecture, we attempt to clear this term through an intuitive approach. This lecture is outlined as follows:
⏲Outline
00:00 Introduction
01:30 Mean of Random Processes
03:14 Mean of Strictly Stationary Random Processes
05:15 Autocorrelation Function
06:30 Autocorrelation of Strictly Stationary Random Processes
09:12 Wide Sense Stationary
11:22 Autocovariance Function
13:46 Autocorrelation properties
15:11 Property 1: Mean-Squared Value
15:46 Property 2: Even Function
17:15 Property 3: Peaks at zero
20:10 Autocorrelation Behaviour
21:14 Local Oscillator Example
26:37 Autocorrelation on MATLAB
34:48 Summary
36:22 Outro
📙Previous Lectures
Lecture 1: Signals & Systems Signals and Systems | Digital Signal ...
Lecture 2: Multichannel and Multidimensional signals Multichannel and Multidimensional sig...
Lecture 3: Continuous-time & Discrete-time signals& Sampling Continuous-time & Discrete-time signa...
Lecture 4: Continuous-valued & Discrete-valued s...
Lecture 5: Deterministic vs Random Signals Deterministic vs Random Signals | Dig...
Lecture 6: Continuous-time sinusoidal signals & Phasors Continuous-time sinusoidal signals & ...
Lecture 7: Discrete-time sinusoidal signals & Aliasing Discrete-time sinusoidal signals & Al...
Lecture 8: Continuous Complex Exponentials & Fourier Series Continuous Complex Exponentials & Fou...
Lecture 9: Discrete Complex Exponentials & Fourier Series | Signal Processing Discrete Complex Exponentials & Fouri...
Lecture 10: Analog to Digital Converters Analog to Digital Converters | Digita...
Lecture 11: Sampling Analog Signals Sampling Analog Signals | Digital Sig...
Lecture 12: Random Processes Random Processes | Digital Signal Pro...
Lecture 13: Stationary Random Processes Stationary Random Processes | Digital...
📖 Related Content
Proakis, John G., and Dimitris G. Manolakis. "Digital signal processing." PHI Publication: New Delhi, India (2004).
https://www.amazon.com/Digital-Signal...
Oppenheim, Alan V., John R. Buck, and Ronald W. Schafer. Discrete-time signal processing. Vol. 2. Upper Saddle River, NJ: Prentice Hall, 2001.
https://www.amazon.fr/Digital-Signal-...
MATLAB
https://www.mathworks.com/products/ma...
💰Support My Channel Through Patreon:
Patreon: ahmadbazzi
💰One-Time Contribution Through PayPal:
https://www.paypal.me/donationlink240
💰Cryptocurrency Donations:
Bitcoin Wallet - 327qhzF7yxQa2CiyL1Vnd63ccuMyAH1Ss9
🔴 Subscribe for more videos on Machine Learning and Python.
👍 Smash that like button, in case you find this tutorial useful.
👁🗨 Speak up and comment, I am all ears.
#SignalProcessing #StationaryProcess #CommunicationSystems
3 سال پیش
در تاریخ 1400/04/09 منتشر شده
است.
231,032
بـار بازدید شده