Fundamentals of Channel Capacity and Data Coding
Channel Capacity Concepts
Channel capacity is the maximum amount of reliable information that a communication channel can carry, typically expressed in bits per second (bps), with an arbitrarily low probability of error.
There are two primary contexts for channel capacity: one for continuous-time channels and another for discrete-time channels.
Discrete Memoryless Channels
A discrete memoryless channel is defined by:
- An input alphabet X = {x1, x2, …, xn}, which is the set of symbols that can be transmitted
The Great Gatsby: Key Events and Themes in Chapters 5-8
Summary of Chapters 5-8
Chapter 5 – Gatsby and Daisy Reunite
Nick arranges a meeting between Gatsby and Daisy at his house. Gatsby is extremely nervous but overjoyed when he finally sees Daisy again. They rekindle their feelings, and Gatsby takes her to his mansion to impress her with his wealth. Daisy is deeply moved, even crying over his expensive shirts, realizing what she could have had with him.
This chapter represents Gatsby’s dream coming true—at least for now.
Chapter 6 – Gatsby’s
Read MoreThe Great Gatsby: Story, Characters, and Jazz Age Background
The Great Gatsby: Plot Summary
Nick Carraway’s Arrival and First Encounters
Through the eyes of Nick Carraway, the narrator, we are introduced to his cousin, Daisy Buchanan, who is married to the aggressive and wealthy Tom Buchanan. Soon, the enigmatic Jay Gatsby appears as Nick’s mysterious neighbor. Gatsby lives in a huge mansion and hosts ultra-lavish parties attended by people who often don’t even know him. Gatsby spends much time in the evenings looking at a green light across the bay from his
Read MoreSymbols and Characters in The Great Gatsby
Symbols in The Great Gatsby
The Eyes of Dr. T.J. Eckleburg
The Eyes of Dr. T.J. Eckleburg are a pair of eyes with glasses painted on a billboard. The eyes represent God looking down and judging American society as a moral desert.
The Valley of Ashes
First introduced in Chapter 2, the Valley of Ashes between West Egg and New York is a long strip of land created by the dumping of industrial ashes. It represents the moral and social decline. The Valley of Ashes also symbolizes the plight of the poor, like
Read MoreHousing Price Analysis: Impact of Features and Square Footage
EJERCICIO 2
Intercept:The expected value of the price of housing will be **39,954 Thousand US Dollars** when there is no pool, no living room, and no fire place in the house, there are no bathrooms, and the log of square feet is 0, which doesn’t make economic sense.
The house has a pool: This is a dummy variable with 2 options: having or not having a pool. The difference effect in the price of housing is **5,198 thousand US dollars** on average between having or not having a pool in the house,
Read MoreEconometrics Fundamentals: OLS, Modeling, and Key Concepts
Properties of the Error Term in OLS
The Ordinary Least Squares (OLS) method relies on several assumptions about the model and the error term (u):
- SLR.1: Linearity in Parameters. The model is linear in its parameters (coefficients).
- SLR.2: Random Sampling. The data is obtained from a random sample of size n.
- SLR.3: Sample Variation in the Explanatory Variable. The sample outcomes for the explanatory variable (X) are not all the same value.
- SLR.4: Zero Conditional Mean. The error term u has an expected