# Tag Info

### Understanding the Difference Between MAP Estimation and ML Estimation

Maximium A Posteriori (MAP) and Maximum Likelihood (ML) are both approaches for making decisions from some observation or evidence. MAP takes into account the prior probability of the considered ...
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### Understanding the Difference Between MAP Estimation and ML Estimation

You have a set of message set $m_i$, $0 \le i \le N-1$. (For example, QPSK will be $N=4$). For the transmitted message $m_i$, the corresponding symbol vector is $\textbf{x}_i$, and the received symbol ...
• 2,263
Accepted

### cramer lower bound, MAE, and MSE

The topics you bring up are at the heart of estimation theory. I highly recommend reading Steven Kay's Fundamentals of Statistical Signal Processing: Estimation Theory for a detailed background and ...
• 915
Accepted

### How to remove the modulation before doing frequency offset estimation?

For lower-cardinality PSKs like the QPSK, the "classical" way is to take the signal to the $M$th power, $M$ being the number of constellation points. From the shape of an $M$-PSK modulation, ...
• 31.2k

### Understanding the Difference Between MAP Estimation and ML Estimation

A brief, non-mathy explanation: ML assumes that all hypothesis are equally likely. MAP does not make this assumption. MAP is the optimum criterion, but under some conditions ML is optimum too. When ...
• 15.3k

### Maximum Likelihood for Colored Noise

Let's have a look on the following model: $$y \left[ n \right] = \left( h \ast x \right) \left[ n \right] + \left( g \ast w \right) \left[ n \right]$$ Where $x \left[ n \right]$ is the signal of ...
• 19.7k
Accepted

• 4,134
1 vote

### Why Is The Maximum Likelihood Estimation (MLE) Method Taken as the Benchmark for Comparing with Other Methods?

There are 3 major reasons in my opinion which makes the Maximum Likelihood Estimator so popular: Intuition It is very clear what's the logic behind this method and what you maximize. It makes sense ...
• 19.7k

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