Random Processes | Digital Signal Processing # 12

☕️ Buy me a coffee: https://paypal.me/donationlink240 🙏🏻 Support me on Patreon: https://www.patreon.com/c/ahmadbazzi 📚About This lecture is dedicated for random processes and their importance in signal processing. We naturally arrive at the need of defining random processes due to the structure of the received signal which is a superposition of three components: an information-bearing signal, an interfering (or unwanted) signal and background noise. Random processes are thought of a time-varying random variable where each time sample in this random process is itself a random variable with its own distribution function. Indeed, random process lie in the core of any radio communication system and their understanding is crucial for an signal processing study. The lecture ends by showing how to generate a very simple random process on MATLAB. This lecture is outlined as follows: ⏲Outline 00:00 Highlights 00:20 Introduction 01:01 Radio Communication System 01:53 Received Signal 02:40 Information-bearing Signal 03:51 Interfering Signal 04:29 Noise Part 05:16 Random Processes 07:16 Average Power 08:48 Sample Space 16:18 Random Process on MATLAB 20:34 Summary 21:34 Outro 📙Previous Lectures Lecture 1: Signals & Systems https://youtu.be/z3smaAYXYgc Lecture 2: Multichannel and Multidimensional signals https://youtu.be/L8PeOBTVxT8 Lecture 3: Continuous-time & Discrete-time signals& Sampling https://youtu.be/yX2O7q45-SM Lecture 4: https://youtu.be/-5uTLAnuFgA Lecture 5: Deterministic vs Random Signals https://youtu.be/aQ5alQluuxQ Lecture 6: Continuous-time sinusoidal signals & Phasors https://youtu.be/lHvuPVjxYlI Lecture 7: Discrete-time sinusoidal signals & Aliasing https://youtu.be/_E-v5fl_hxc Lecture 8: Continuous Complex Exponentials & Fourier Series https://youtu.be/wM-_wdWG8y8 Lecture 9: Discrete Complex Exponentials & Fourier Series | Signal Processing https://youtu.be/QHyxA3MyVHQ Lecture 10: Analog to Digital Converters https://youtu.be/JARmZM4FH8Q Lecture 11: Sampling Analog Signals https://youtu.be/NKb9-jqPcRI 📖 Related Content Proakis, John G., and Dimitris G. Manolakis. "Digital signal processing." PHI Publication: New Delhi, India (2004). https://www.amazon.com/Digital-Signal-Processing-John-Proakis/dp/0131873741 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-Processing-Alan-Oppenheim/dp/0132146355 MATLAB https://www.mathworks.com/products/matlab.html 💰Support My Channel Through Patreon: https://www.patreon.com/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 #RandomProcess #CommunicationSystems