Media Summary: We derive a probability of symbol and bit error for coherent reception of M-ary FSK using the I go through three ways of coming up with expressions for the probability of bit error in 2x4 rectangular QAM (aka 8 Cross QAM). This video describes Gray coding, a way to set the bit strings for each symbol so that when a symbol error is made, on average, ...

Ese 471 Example Union Bound - Detailed Analysis & Overview

We derive a probability of symbol and bit error for coherent reception of M-ary FSK using the I go through three ways of coming up with expressions for the probability of bit error in 2x4 rectangular QAM (aka 8 Cross QAM). This video describes Gray coding, a way to set the bit strings for each symbol so that when a symbol error is made, on average, ... This segment writes the nearest neighbor approximation, which ignores neighbors further apart then d_min, the distance between ... Following up on my previous segment on the general formula for the minimum probability of error detector for arbitrary conditional ... This video derives the formula for the line (or more generally, the K-1 dimensional subspace) that separates the two decision ...

Here I review Binary Coherent FSK, and show how we use our probability of error formulas to compute an exact expression for the ...

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ESE 471: Example Union Bound M=8 Box QAM
ESE 471 The Union Bound Drops the Joint Probability
ESE 471 The Union Bound for Symbol Error
ESE 471 Digital Communication Theory: Coherent M-ary FSK Union Bound
ESE 471 2x4 rectangular QAM Probability of Error Example
ESE 471: Probably Enough of an Example to Remind Us About Probability
ESE 471 Gray Coding is a Trick to Make Fewer Bit Errors
ESE 471: The BFF for Symbols: Nearest neighbor approximation
ESE 471: M-ary Coherent FSK Probability of Error (v2)
ESE 471 Two formulas for the Bayes Threshold in Gaussian Noise
ESE 471 Drawing the Line Between Two Symbols
ESE 471 Drawing Decision Regions for All Symbols is a Voronoi Diagram
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ESE 471: Example Union Bound M=8 Box QAM

ESE 471: Example Union Bound M=8 Box QAM

This segment works an

ESE 471 The Union Bound Drops the Joint Probability

ESE 471 The Union Bound Drops the Joint Probability

This segment derives the

ESE 471 The Union Bound for Symbol Error

ESE 471 The Union Bound for Symbol Error

I use the

ESE 471 Digital Communication Theory: Coherent M-ary FSK Union Bound

ESE 471 Digital Communication Theory: Coherent M-ary FSK Union Bound

We derive a probability of symbol and bit error for coherent reception of M-ary FSK using the

ESE 471 2x4 rectangular QAM Probability of Error Example

ESE 471 2x4 rectangular QAM Probability of Error Example

I go through three ways of coming up with expressions for the probability of bit error in 2x4 rectangular QAM (aka 8 Cross QAM).

ESE 471: Probably Enough of an Example to Remind Us About Probability

ESE 471: Probably Enough of an Example to Remind Us About Probability

In this video I do an

ESE 471 Gray Coding is a Trick to Make Fewer Bit Errors

ESE 471 Gray Coding is a Trick to Make Fewer Bit Errors

This video describes Gray coding, a way to set the bit strings for each symbol so that when a symbol error is made, on average, ...

ESE 471: The BFF for Symbols: Nearest neighbor approximation

ESE 471: The BFF for Symbols: Nearest neighbor approximation

This segment writes the nearest neighbor approximation, which ignores neighbors further apart then d_min, the distance between ...

ESE 471: M-ary Coherent FSK Probability of Error (v2)

ESE 471: M-ary Coherent FSK Probability of Error (v2)

This segment derives the

ESE 471 Two formulas for the Bayes Threshold in Gaussian Noise

ESE 471 Two formulas for the Bayes Threshold in Gaussian Noise

Following up on my previous segment on the general formula for the minimum probability of error detector for arbitrary conditional ...

ESE 471 Drawing the Line Between Two Symbols

ESE 471 Drawing the Line Between Two Symbols

This video derives the formula for the line (or more generally, the K-1 dimensional subspace) that separates the two decision ...

ESE 471 Drawing Decision Regions for All Symbols is a Voronoi Diagram

ESE 471 Drawing Decision Regions for All Symbols is a Voronoi Diagram

This segment shows an

ESE 471 Binary FSK Coherent Receiver

ESE 471 Binary FSK Coherent Receiver

Here I review Binary Coherent FSK, and show how we use our probability of error formulas to compute an exact expression for the ...