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Wide Sense Stationary Random Processes | Digital Signal Processing # 14

Let's reach 100K subscribers 👉🏻 https://l-ink.me/SubscribeBazzi 📚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:   / 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